Throughout positive solutions of second-order nonlinear differential equations

In this paper, we consider the second-order nonlinear and the nonlinear neutral functional differential equations $$displaylines{ (a(t)x'(t))'+f(t,x(g(t)))=0,quad tgeq t_0cr (a(t)(x(t)-p(t)x(t-au))')'+f(t,x(g(t)))=0,quad tgeq t_0,. }$$ Using the Banach contraction mapping princip...

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Bibliographic Details
Published in:Electronic journal of differential equations 2005-05, Vol.2005 (53), p.1-12
Main Authors: Zhenguo Zhang, Chunjiao Wang, Qiaoluan Li, Fang Li
Format: Article
Language:English
Subjects:
eventually positive solution
neutral term
Nonlinear differential equations
throughout positive solution
Online Access:Get full text
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Summary:In this paper, we consider the second-order nonlinear and the nonlinear neutral functional differential equations $$displaylines{ (a(t)x'(t))'+f(t,x(g(t)))=0,quad tgeq t_0cr (a(t)(x(t)-p(t)x(t-au))')'+f(t,x(g(t)))=0,quad tgeq t_0,. }$$ Using the Banach contraction mapping principle, we obtain the existence of throughout positive solutions for the above equations.
ISSN:1072-6691