Fractal oscillations for a class of second order linear differential equations of Euler type (CROSBI ID 136231)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pašić, Mervan
engleski
Fractal oscillations for a class of second order linear differential equations of Euler type
The s-dimensional fractal oscillations for continuous and smooth functions defined on an open bounded interval are introduced and studied. The main purpose of the paper is to establish this kind of oscillations for solutions of a class of second order linear differential equations of Euler type. Next, it will be shown that the dimensional number s only depends on a positive real parameter α appearing in a singular term of the main equation. It continues some recent results on the rectifiable and unrectifiable oscillations given in Pašić [M. Pašić, Rectifiable and unrectifiable oscillations for a class of second-order linear differential equations of Euler type, J. Math. Anal. Appl. 335 (2007) 724– 738] and Wong [J.S.W. Wong, On rectifiable oscillation of Euler type second order linear differential equations, Electron. J. Qual. Theory Differ. Equ. 20 (2007) 1– 12].
linear equations; oscillations; graph; rectifiability; unrectifiability; fractal
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Podaci o izdanju
341 (1)
2008.
211-223
objavljeno
0022-247X
10.1016/j.jmaa.2007.09.068