Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations

Irena Rachůnková, Lukáš Rachůnek and Jan Tomeček

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Asymptotic properties of solutions of the singular differential equation (p(t)u′(t))′=p(t)f(u(t)) are described. Here, f is Lipschitz continuous on ℝ and has at least two zeros 0 and L > 0. The function p is continuous on [0, ∞) and has a positive continuous derivative on (0, ∞) and p(0) = 0. Further conditions for f and p under which the equation has oscillatory solutions converging to 0 are given.

Date: 2011
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https://doi.org/10.1155/2011/408525

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:408525

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