Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations

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...

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Bibliographic Details
Main Authors: Irena Rachůnková, Lukáš Rachůnek, Jan Tomeček
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/408525
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