Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations-Reference-Cited by-同舟云学术

Existence of Oscillatory Solutions of Singular Nonlinear Differential Equations

Published:2011 Issue: Volume:2011 Page:1-20
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Rachůnková Irena¹,Rachůnek Lukáš¹,Tomeček Jan¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic

Abstract

Asymptotic properties of solutions of the singular differential equation(p(t)u′(t))′=p(t)f(u(t))are described. Here,fis Lipschitz continuous on ℝ and has at least two zeros 0 andL>0. The functionpis continuous on [0,∞) and has a positive continuous derivative on (0,∞) andp(0)=0. Further conditions forfandpunder which the equation has oscillatory solutions converging to 0 are given.

Funder

Council of Czech Government

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/408525.pdf

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