Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation

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 de...

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Bibliographic Details
Main Authors: Irena Rachůnková, Lukáš Rachůnek
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/981401
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