Throughout positive solutions of second-order nonlinear differential equations
| Autor: | Zhenguo Zhang, Chunjiao Wang, Qiaoluan Li, Fang Li |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2005, Iss 53, Pp 1-12 (2005) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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