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Poglavlja u knjizi
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1. Pašić, Mervan; Žubrinić, Darko; Županović, Vesna.
Fractal properties of solutions of differential equations // Classification and Application of Fractals / Hagen, William L. (ur.).
: Nova Science Publishers, 2011.
Str. 1-62.
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2. Žubrinić, Darko.
Hausdorff dimension of singular sets of Sobolev functions and applications // More Progresses in Analysis, Proceedings of the 5th International ISAAC Congress / Begher, H.G.W. ; Nicolosi, F. (ur.).
Singapur : World Scientific Publishing, 2009..
Str. 793-802.
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Izvorni znanstveni i pregledni radovi u CC časopisima
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1. Pašić, Mervan; Tanaka, Satoshi.
Non-monotone positive solutions of second-order linear differential equations: existence, nonexistence and criteria. // Electronic Journal of Qualitative Theory of Differential Equations. 2016 (2016) , 93; 1-25 (članak, znanstveni).
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2. Pašić, Mervan.
Sign-changing first derivative of positive solutions of forced second-order nonlinear differential equations. // Applied mathematics letters. 40 (2015) ; 40-44 (članak, znanstveni).
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3. Pašić, Mervan.
Strong non-monotonic behavior of particle density of solitary waves of nonlinear Schrodinger equation in Bose-Einstein condensates. // Communications in Nonlinear Science and Numerical Simulation. 29 (2015) , 1/3; 161-169 (članak, znanstveni).
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4. Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko.
Fractal zeta functions and complex dimensions of relative fractal drums. // Journal of Fixed Point Theory and Applications. 15 (2014) , 2; 321-378 (pregledni rad, znanstveni).
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5. Pašić, Mervan.
Parametrically excited oscillations of second- order functional differential equations and application to Duffing equations with time delay feedback. // Discrete dynamics in nature and society. 2014 (2014) ; 875020-1-875020-17 (članak, znanstveni).
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6. Miličić, Siniša; Pašić, Mervan.
Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two- dimensional linear differential systems. // Abstract and applied analysis. 2013 (2013) ; 935089-1-935089-10 (članak, znanstveni).
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7. Pašić, Mervan.
Fite-Wintner-Leighton type oscillation criteria for second-order differential equations with nonlinear damping. // Abstract and applied analysis. (2013) ; 852180-1-852180-10 (članak, znanstveni).
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8. Pašić, Mervan.
New oscillation criteria for second-order forced quasilinear functional differential equations. // Abstract and applied analysis. 2013 (2013) ; 735360-1-735360-12 (članak, znanstveni).
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9. Resman, Maja.
ε -neighborhoods of orbits and formal classification of parabolic diffeomorphisms. // Discrete and continuous dynamical systems. 33 (2013) , 8; 3767-3790 (članak, znanstveni).
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10. Resman, Maja.
Invariance of the generalized Minkowski content with respect to the ambient space. // Chaos, solitons and fractals. 57 (2013) ; 123-128 (članak, znanstveni).
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11. Amaziane, Brahim; Milišić, Josipa Pina; Panfilov, Mikhail; Pankratov, Leonid.
Generalized nonequilibrium capillary relations for two-phase flow through heterogeneous media. // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 85 (2012) , 1; 6304-1-6304-18 (članak, znanstveni).
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12. Horvat Dmitrović, Lana.
Box dimension and bifurcations of one-dimensional discrete dynamical systems. // Discrete and continuous dynamical systems. 32 (2012) , 4; 1287-1307 (članak, znanstveni).
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13. Mardešić, Pavao; Resman, Maja; Županović, Vesna.
Multiplicity of fixed points and growth of ε-neighborhoods of orbits. // Journal of differential equations. 253 (2012) , 8; 2493-2514 (članak, znanstveni).
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14. Radunović, Goran; Žubrinić, Darko; Županović, Vesna.
Fractal analysis of Hopf bifurcation at infinity. // International journal of bifurcation and chaos in applied sciences and engineering. 22 (2012) , 12; 1230043-1-1230043-15 (članak, znanstveni).
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15. Juengel, Ansgar; Milišić, Josipa Pina.
A simplified quantum energy-transport model for semiconductors. // Nonlinear Analysis: Real World Applications. 12 (2011) ; 1033-1046 (članak, znanstveni).
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16. Juengel, Ansgar; Milišić, Josipa Pina.
Full compressible Navier-Stokes equations for quantum fluids : derivation and numerical solution. // Kinetic and Related Models. 4 (2011) , 3; 785-807 (članak, znanstveni).
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17. Juengel, Ansgar; Milišić, Josipa Pina.
A simplified quantum energy-transport model for semiconductors. // Nonlinear analysis. 12 (2011) , 2; 1033-1046 (članak, znanstveni).
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18. Pašić, Mervan; Tanaka, Satoshi.
Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order. // Journal of mathematical analysis and applications. 381 (2011) , 1; 27-42 (članak, znanstveni).
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19. Pašić, Mervan; Tanaka, Satoshi.
Fractal oscillations of self-adjoint and damped linear differential equations of second-order. // Applied mathematics and computation. 218 (2011) , 5; 2281-2293 (članak, znanstveni).
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20. Duering, Bertram; Matthes, Daniel; Milišić, Josipa Pina.
A gradient flow scheme for nonlinear fourth order equations. // Discrete and continuous dynamical systems-series b. 14 (2010) , 3; 935-959 (članak, znanstveni).
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21. Milišić, Josipa Pina; Žubrinić, Darko; Županović, Vesna.
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger Cauchy problems. // Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE). 60 (2010) ; 1-32 (članak, znanstveni).
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22. Juengel, Ansgar; Milišić, Josipa Pina.
A sixth-order nonlinear parabolic equation for quantum systems. // Siam Journal of Mathematical Analysis. 41 (2009) , 4; 1472-1490 (članak, znanstveni).
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23. Korkut, Luka; Žubrinić, Darko; Županović, Vesna.
Box dimension and Minkowski content of the clothoid. // Fractals. 17 (2009) , 4; 485-492 (članak, znanstveni).
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24. Pašić, Mervan; Wong, James S. W.
Rectifiable oscillations in second-order half-linear differential equations. // Annali di matematica pura ed applicata. 188 (2009) , 3; 517-541 (članak, znanstveni).
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25. Pašić, Mervan; Žubrinić, Darko; Županović, Vesna.
Oscillatory and phase dimensions of solutions of some second-order differential equations. // Bulletin des sciences mathématiques. 133 (2009) , 8; 859-874 (članak, znanstveni).
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26. Žubrinić, Darko.
Generating singularities of weak solutions of p-Laplace equations on fractal sets. // Rocky Mountain Journal of Mathematics. 39 (2009) , 1; 359-366 (članak, znanstveni).
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27. Korkut, Luka; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna.
Generalized Fresnel integrals and fractal properties of related spirals. // Applied Mathematics and Computation. 206 (2008) , 1; 236-244 (članak, znanstveni).
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28. Kwong, Man Kam; Pašić, Mervan; Wong, James S.W.
Rectifiable oscillations in second-order linear differential equations. // Journal of Differential Equations. 245 (2008) , 8; 2333-2351 (članak, znanstveni).
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29. Pašić, Mervan.
Fractal oscillations for a class of second order linear differential equations of Euler type. // Journal of Mathematical Analysis and Applications. 341 (2008) , 1; 211-223 (članak, znanstveni).
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30. Žubrinić, Darko; Županović, Vesna.
Poincare map in fractal analysis of spiral trajectories of planar vector fields. // Bulletin of the Belgian Mathematical Society - Simon Stevin. 15 (2008) , 5; 947-960 (članak, znanstveni).
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31. Elezović, Neven; Županović, Vesna; Žubrinić, Darko.
Box dimension of trajectories of some discrete dynamical systems. // Chaos, Solitons & Fractals. 34 (2007) , 2; 244-252 (članak, znanstveni).
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32. Horvat, Lana; Kraljević, Jadranka; Žubrinić, Darko; Županović, Vesna.
Positive solutions of polyharmonic equations with strong dependence on the gradient. // Complex variables and elliptic equations. 52 (2007) , 8; 693-707 (članak, znanstveni).
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33. Jüngel, Ansgar; Milišić, Josipa Pina.
Physical and numerical viscosity for quantum hydrodynamics. // Communications in Mathematical Sciences. 5 (2007) , 2; 447-471 (članak, znanstveni).
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34. Pašić, Mervan.
Rectifiable and unrectifiable oscillations for a class of second-order linear differential equations of Euler type. // Journal of Mathematical Analysis and Applications. 335 (2007) , 1; 724-738 (članak, znanstveni).
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35. Žubrinić, Darko; Županović, Vesna.
Box dimension of spiral trajectories of some vector fields in R^3. // Qualitative Theory of Dynamical Systems. 6 (2007) , 2; 203-222 (članak, znanstveni).
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Znanstveni radovi u drugim časopisima
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1. Miličić, Siniša; Pašić, Mervan.
Non-monotone particle density of exact solitary wave in BEC with non-monotone trapping potential. // Nonlinear science letters. A, Mathematics, physics and mechanics. 7 (2016) , 4; 141-146 (članak, znanstveni).
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2. Kong, Qingkai; Pašić, Mervan.
Second-order differential equations: some significant results due to James S.W. Wong. // Differential equations & applications. 6 (2014) , 1; 99-163 (pregledni rad, znanstveni).
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3. Pašić, Mervan.
New interval oscillation criteria for forced second- order differential equations with nonlinear damping. // International journal of mathematical analysis. 7 (2013) ; 1239-1255 (članak, znanstveni).
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4. Pašić, Mervan; Tanaka, Satoshi.
Fractal oscillations of chirp functions and applications to second-order linear differential equations. // International journal of differential equations. 2013 (2013) ; 1-11 (članak, znanstveni).
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5. Chrayteh, Houssam; Pašić, Mervan.
Exact number of local extreme points of curvature function of solutions of secondorder linear differential equations. // Journal of applied mathematics and computing. International journal. 40 (2012) ; 5-32 (članak, znanstveni).
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6. Korkut, Luka; Resman, Maja.
Oscillations of chirp-like functions. // Georgian mathematical journal. 19 (2012) , 4; 705-720 (članak, znanstveni).
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7. Naito, Yuki; Pašić, Mervan; Usami, Hiroyuki.
Rectifiable oscillations of radially symmetric solutions of p-Laplace differential equations. // Differential equations & applications (Zagreb). 4 (2012) , 1; 11-25 (članak, znanstveni).
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8. Žubrinić, Darko.
Loss of regularity of weak solutions of p-Laplace equations for p \neq 2. // Differential equations & applications (Zagreb). 2 (2010) , 2; 217-226 (članak, znanstveni).
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9. Pašić, Mervan; Raguž, Andrija.
Singular behaviour of bounded radially symmetric solutions of $p$ - Laplace nonlinear equation. // International Journal of Mathematical Analysis. 3 (2009) , 36; 1775-1788 (članak, znanstveni).
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10. Pašić, Mervan; Wong, James S. W.
Two-point oscillations in second-order linear differential equations. // Differential equations & applications (Zagreb). 1 (2009) ; 85-122 (članak, znanstveni).
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11. Pašić, Mervan; Raguž, Andrija.
Rectifiable oscillations and singular behaviour of solutions of second-order linear differential equations. // International Journal of Mathematical Analysis. 2 (2008) ; 477-490 (članak, znanstveni).
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12. Jüngel, Ansgar; Milišić, Josipa Pina.
Macroscopic quantum models with and without collisions. // Bulletin of Institute of Mathematics, Academia sinica. New series. 2 (2007) ; 251-279 (članak, znanstveni).
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13. Žubrinić, Darko.
Singular dimension of spaces of real functions. // Le Matematiche. LXII (2007) ; 345-353 (pregledni rad, znanstveni).
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Plenarna izlaganja
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1. Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko.
Lapidus zeta functions of fractal sets // .
(plenarno predavanje,međunarodna recenzija,sažetak,znanstveni).
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2. Pašić, Mervan.
Fractal oscillations of chirp functions and second-order differential equations // .
(plenarno predavanje,međunarodna recenzija,sažetak,znanstveni).
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3. Pašić, Mervan.
Fractal oscillations: details, closed and open problems // .
(plenarno predavanje,međunarodna recenzija,sažetak,znanstveni).
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Objavljena pozvana predavanja na skupovima
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1. Naito, Yuki; Pašić, Mervan; Tanaka, Satoshi; Žubrinić, Darko.
Fractal oscillations near the domain boundary of radially symmetric solutions of p-Laplace equations // Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II: Fractals in Applied Mathematics / Carfi, David ; Lapidus, Michel L. ; Pearse, Erin P. J. ; Van Frankenhuijsen, Machiel (ur.).
Providence (RI) : American Mathematical Society (AMS), 2013. 325-343 (pozvano predavanje,međunarodna recenzija,objavljeni rad,znanstveni).
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2. Pašić, Mervan.
Blow-up and point-wise comparison principles for the generalized Riccati differential equation and application to oscillation of some nonlinear ode's // Global qualitative theory of ordinary differential equations and applications, RIMS Kokyuroku, 1838 / Satoshi Tanaka (ur.).
Kyoto : RIMS Kokyuroku, 2013. 41-47 (pozvano predavanje,međunarodna recenzija,objavljeni rad,znanstveni).
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3. Pašić, Mervan.
Rectifiable, unrectifiable and fractal oscillations of solutions of linear and half-linear differential equations of second-order // New Developments of Functional Equations in Mathematical Analysis / Shibata, Tetsutaro (ur.).
Kyoto : RIMS Kokyuroku, 2010. 130-148 (pozvano predavanje,međunarodna recenzija,objavljeni rad,znanstveni).
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Znanstveni radovi u zbornicima skupova s međunar.rec.
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1. Juengel, Ansgar; Milišić, Josipa Pina.
Quantum Navier–Stokes equations // Progress in Industrial Mathematics at ECMI 2010 / Günther, M. ; Bartel, A. ; Brunk, M. ; Schoeps, S. ; Striebel, M (ur.).
Springer, 2012. (predavanje,međunarodna recenzija,objavljeni rad,znanstveni).
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2. Horvat, Lana; Kraljević, Jadranka; Žubrinić, Darko; Županović, Vesna.
Positive solutions of polyharmonic equations with strong dependence on the gradient // EQUADIFF 2007Vienna : Vienna University of Technology , 2007..
Beč, 2007. (predavanje,međunarodna recenzija,objavljeni rad,znanstveni).
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Drugi radovi u zbornicima skupova s recenzijom
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1. Županović, Vesna; Žubrinić, Darko.
Recent results on fractal analysis of trajectories of some dynamical systems // FUNCTIONAL ANALYSIS IX - Proceedings of the Postgraduate School and Conference held at the Inter-University Centre, Dubrovnik, Croatia, 15--23 June, 2005. pp. 148. / G. Muic, J. Hoffmann-Jorgensen (ur.).
Aarhus : Institut for Matematik, Universiteit van Aarhus, 2007. 126-140 (predavanje,međunarodna recenzija,objavljeni rad).
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Sažeci u zbornicima skupova
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1. Korkut, Luka; Vlah, Domagoj; Županović, Vesna.
Fractal properties of generalized Bessel functions // .
(predavanje,međunarodna recenzija,sažetak,znanstveni).
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2. Korkut, Luka; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna.
Fractal properties of oscillatory solutions of a class of ordinary differential equations // .
(predavanje,međunarodna recenzija,sažetak,znanstveni).
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3. Lapidus, L. Michel; Radunović, Goran; Žubrinić, Darko.
Lapidus zeta functions of arbitrary fractals and compact sets in Euclidean spaces // .
(pozvano predavanje,međunarodna recenzija,sažetak,znanstveni).
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4. Korkut, Luka; Vlah Domagoj; Žubrinić Darko; Županović Vesna.
Fractal properties of Bessel equation // .
(predavanje,međunarodna recenzija,sažetak,znanstveni).
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5. Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko.
Relative zeta functions of fractal sets in Euclidean spaces // .
(predavanje,međunarodna recenzija,sažetak,znanstveni).
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6. Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko.
Zeta functions associated with arbitrary compact sets in $R^{; ; N}; ; $: Towards a general theory of complex fractal dimensions (reporter: Professor Michel L. Lapidus) // .
(predavanje,međunarodna recenzija,sažetak).
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7. Resman, Maja.
Epsilon-neighbourhoods of orbits and formal classification of parabolic diffeomorphisms // Book of Abstracts 5th CroMC / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.).
Rijeka, 2012. (predavanje,međunarodna recenzija,sažetak,znanstveni).
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8. Resman, Maja.
Classification of diffeomorphisms and epsilon-neighborhoods of orbits // Feuilletages et équations différentielles complexes, À l'occasion des 37 ans de Dominique Cerveau.
Marseille : CIRM, 2012. (poster,međunarodna recenzija,sažetak,znanstveni).
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9. Mardešić, Pavao; Resman, Maja; Županović, Vesna.
Multiplicity of Fixed Points and Growth of r- Neighborhoods of Orbits // First International Meeting PISRS-PISRS Conference 2011.
(pozvano predavanje,međunarodna recenzija,sažetak,znanstveni).
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10. Mardešić, Pavao; Resman, Maja; Županović, Vesna.
Connection between box dimension and cyclicity for planar systems // .
(predavanje,međunarodna recenzija,sažetak,znanstveni).
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11. Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko.
Relative Zeta Functions of Lapidus Type // Permanent International Session of Research Seminars / Carfi, David (ur.).
Messina : University of Messina, 2011. 28-28 (pozvano predavanje,međunarodna recenzija,sažetak,znanstveni).
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12. Duering, Bertram; Matthes, Daniel; Milišić, Josipa Pina.
Nonlinear diffusive equations of higher order // 3rd International Conference on Approximation Methods and numerical Modeling in Environment and Natural Resources.
(predavanje,sažetak).
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13. Korkut, Luka; Pašić, Mervan; Žubrinić, Darko.
On some new properties of solutions of nonlinear PDE-s // NPDE 2009 Nonlinear PDE and Applications, In occasion of Francesco Nicolosi's 70th birthday.
Catania : Universita di Catania, Dipartimento di Matematica e Informatica, 2009. 33-34 (pozvano predavanje,međunarodna recenzija,sažetak,znanstveni).
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14. Korkut, Luka; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna.
Box dimension and Minkowski content of generalized Euler spirals // .
(poster,međunarodna recenzija,sažetak,znanstveni).
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15. Pašić, Mervan.
Rectifiable, unrectifiable, and fractal oscillations for a class of second-order linear differential equations on a finite interval // EQUADIFF 2007. Vienna : Vienna University of Technology, 2007.
(predavanje,međunarodna recenzija,sažetak,znanstveni).
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16. Pašić, Mervan.
A new concept of oscillations for second-order linear differential equations of Euler type // Applied Mathematics and Scientific Computing, Brijuni, Croatia, 2007.
(predavanje,međunarodna recenzija,sažetak,znanstveni).
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17. Žubrinić, Darko.
Singular dimension of solution set of some classes of elliptic equations // EQUADIFF 2007.
Beč : Vienna University of Technology, 2007. 160 (predavanje,međunarodna recenzija,sažetak,znanstveni).
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Neobjavljena sudjelovanja na skupovima
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1. Žubrinić, Darko.
Fractal properties of trajectories of dynamical systems // .
(poster,međunarodna recenzija,neobjavljeni rad).
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2. Juengel, Ansgar; Milišić, Josipa Pina.
Quantum Navier-Stokes Model for Semiconductors // .
(poster,neobjavljeni rad,znanstveni).
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3. Milišić, Josipa Pina.
Semiconductor modeling and nonlinear higher-order PDEs // .
(pozvano predavanje,ppt prezentacija,znanstveni).
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Disertacije
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1. Radunović, Goran.
Fraktalna analiza neomeđenih skupova u Euklidskim prostorima i Lapidusove zeta funkcije / doktorska disertacija.
Zagreb : Prirodoslovno-matematički fakultet, Matematički odsjek, 25.03. 2015.,
249 str. Voditelj: Lapidus, Michel L. ; Žubrinić, Darko.
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2. Miličić, Siniša.
Geometrijska i fraktalna svojstva sustava neautonomnih linearnih diferencijalnih jednadžbi / doktorska disertacija.
Zagreb : Prirodoslovno matematički fakultet, 17.06. 2013.,
120 str. Voditelj: Pašić, Mervan.
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3. Resman, Maja.
Fixed points of diffeomorphisms, singularities of vector fields and epsilon-neighborhoods of their orbits / doktorska disertacija.
Zagreb : PMF-Matematički odsjek, 29.10. 2013.,
170 str. Voditelj: Mardešić, Pavao ; Županović, Vesna.
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4. Jadranka Kraljević.
Rješivost nekih nelinearnih eliptičkih problema s jakom ovisnošću o gradijentu / doktorska disertacija.
Zagreb : Matematički odsjek, Prirodoslovno matematički fakultet, 30.11. 2010,
93 str. Voditelj: Žubrinić, Darko.
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5. Milišić, Josipa Pina.
Quantum hydrodynamic models for semiconductors with and without collisions / doktorska disertacija.
Mainz : Fachbereich Physik, Mathematik und Informatik, 21.08. 2007,
118 str. Voditelj: Jüngel, Ansgar.
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Diplomski radovi
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1. Mišmaš, Anamarija.
Metode kompresije slike: JPEG i JPEG2000 / završni rad - diplomski/integralni studij.
Zagreb : Fakultet elektrotehnike i računarstva, 09.07. 2013,
70 str. Voditelj: Pašić, Mervan.
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2. Halužan, Matea.
Matematička analiza kaotičnih iteratora / završni rad - preddiplomski studij.
Zagreb : Fakultet elektrotehnike i računarstva, 26.01. 2011,
26 str. Voditelj: Pašić, Mervan.
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3. Mišmaš, Anamarija.
Bifurkacija u matematičkoj teoriji kaosa / završni rad - preddiplomski studij.
Zagreb : Fakultet elektrotehnike i računarstva, 26.01. 2011,
28 str. Voditelj: Pašić, Mervan.
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4. Bilandžić, Iva.
Matematička analiza fraktala i crtanje na računalu / završni rad - preddiplomski studij.
Zagreb : Fakultet elektrotehnike i računarstva, 01.06. 2010,
31 str. Voditelj: Pašić, Mervan.
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5. Capan, Matija.
Algoritmi sortiranja u Wolframovoj Mathematici / diplomski rad.
Zagreb : Fakultet elektrotehnike i računarstva, 01.02. 2010,
110 str. Voditelj: Pašić, Mervan.
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6. Glavinić, Eva.
Numeričko rješavanje diferencijalnih jednadžbi prvog i drugog reda na računalu / završni rad - preddiplomski studij.
Zagreb : Fakultet elektrotehnike i računarstva, 01.06. 2009,
35 str. Voditelj: Pašić, Mervan.
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7. Markoč, Zrinka.
Linearne integralne transformacije na računalu i primjene / završni rad - preddiplomski studij.
Zagreb : Fakultet elektrotehnike i računarstva, 01.06. 2009,
30 str. Voditelj: Pašić, Mervan.
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8. Emina Elezović.
Prikaz matematičkog kaosa za inženjere i njegova prezentacija pomoću Web stranice / diplomski rad.
Zagreb : Fakultet elektrotehnike i računarstva, 12.12. 2007,
53 str. Voditelj: Pašić, Mervan.
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9. Parlov, Ante.
Fraktali kao matematička slika prirode / diplomski rad.
Zagreb : Fakultet elektrotehnike i računarstva, 12.12. 2007,
53 str. Voditelj: Pašić, Mervan.
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