Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation

Irena Rachůnková and Lukáš Rachůnek

Abstract and Applied Analysis, 2011, vol. 2011, 1-9

Abstract:

Singular differential equation ( ð ‘ ( ð ‘¡ ) ð ‘¢ î…ž ) î…ž = ð ‘ ( ð ‘¡ ) ð ‘“ ( ð ‘¢ ) is investigated. Here ð ‘“ is Lipschitz continuous on ℝ and has at least two zeros 0 and ð ¿ > 0 . The function ð ‘ is continuous on [0,∞) and has a positive continuous derivative on (0,∞) and ð ‘ ( 0 ) = 0 . An asymptotic formula for oscillatory solutions is derived.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:981401

DOI: 10.1155/2011/981401

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