Abstract

We consider the nonlinear equation t^2x'' + g(x) = 0, where g(x) satisfies xg(x) > 0 for x \ne 0, but is not assumed to be sublinear or superlinear. We study the problem whether all nontrivial solutions of the equation are oscillatory in some critical cases.

DOI

10.3906/mat-1008-33

Keywords

Oscillation, nonlinear differential equations, Liénard system

First Page

273

Last Page

280

Recommended Citation

AGHAJANI, A, & ROOMI, V (2012). An oscillation theorem for second-order nonlinear differential equations of Euler type. Turkish Journal of Mathematics 36 (2): 273-280. https://doi.org/10.3906/mat-1008-33

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