PERIODIC SOLUTIONS FOR A SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE DELAY

被引：0
|
作者：
Ardjouni, Abdelouaheb [1 ]
Djoudi, Ahcene [1 ]
机构：
[1] Univ Annaba, Dept Math, Fac Sci, Annaba, Algeria
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年
关键词：
Periodic solution; neutral differential equation; fixed point theorem; STABILITY; SYSTEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, the hybrid fixed point theorem of Krasnoselskii is used to prove the existence of periodic solutions of the second-order nonlinear neutral differential equation d(2)/dt(2) x(t) + p(t) d/dt x(t) + q(t)x(t) = d/dt g(t, x(t - tau(t))) + f(t, x(t), x(t - tau(t))). We transform the problem into an integral equation and uniqueness of the periodic solution, by means of the contraction mapping principle.
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页数：7
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