Throughout positive solutions of second-order nonlinear differential equations
Date
2005-05-19
Authors
Zhang, Zhenguo
Wang, Chunjiao
Li, Qiaoluan
Li, Fang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we consider the second-order nonlinear and the nonlinear neutral functional differential equations
(α(t)x'(t))' + ƒ(t, x(g(t))) = 0, t ≥ t0
(α(t)(x(t) - p(t)x(t - τ))')' + ƒ(t, x(g(t))) = 0, t ≥ t0.
Using the Banach contraction mapping principle, we obtain the existence of throughout positive solutions for the above equations.
Description
Keywords
Nonlinear differential equations, Neutral term, Eventually positive solution, Throughout positive solution
Citation
Zhang, Z., Wang, C., Li, Q., & Li, F. (2005). Throughout positive solutions of second-order nonlinear differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(53), pp. 1-12.
Rights
Attribution 4.0 International