Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation

Irena Rachůnková and Lukáš Rachůnek

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

Abstract: Singular differential equation (p(t)u′) ′ = p(t)f(u) is investigated. 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. An asymptotic formula for oscillatory solutions is derived.

Date: 2011
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https://doi.org/10.1155/2011/981401

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:981401

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