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Zbl 1145.34022
Pašić, Mervan
Fractal oscillations for a class of second order linear differential equations of Euler type. (English)
[J] J. Math. Anal. Appl. 341, No. 1, 211-223 (2008). ISSN 0022-247X

$s$-dimensional fractal oscillations of continuous and smooth functions defined on an open bounded interval are introduced and studied. The author establishes this kind of oscillations for solutions of a class of second order linear differential equations of Euler type. Moreover, it it is shown that the dimensional number $s$ only depends on a positive real parameter $\alpha $ appearing in a singular term of the main equation.
[Jozef Dzurina (Kosice)]

MSC 2000:: *34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34A30 Linear ODE and systems

Keywords: oscillations; graph; fractal dimension

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