An oscillation theorem for second-order nonlinear differential equations of Euler type

Authors: ASADOLLAH AGHAJANI, VAHID ROOMI

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.

Keywords: Oscillation, nonlinear differential equations, Liénard system

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