EXISTENCE OF POSITIVE ALMOST PERIODIC OR ERGODIC SOLUTIONS FOR SOME NEUTRAL NONLINEAR INTEGRAL EQUATIONS

被引：0

作者：

Dads, E. Ait ^{[1
]}

Cieutat, P. ^{[2
]}

Lhachimi, L. ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Dept Math, Fac Sci, Marrakech, Morocco

[2] Univ Versailles St Quentin En Yvelines, Lab Math Versailles, F-78035 Versailles, France

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2009年 / 22卷 / 11-12期

关键词：

DIFFERENTIAL-EQUATIONS; FUNCTIONAL-EQUATIONS; INFECTIOUS-DISEASE; THRESHOLD THEOREM; DELAY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We state sufficient conditions for the existence of the positive, almost periodic or ergodic solutions of the following neutral integral equation: x(t) = gamma x(t - sigma) + (1 - gamma) integral(t)(t-sigma) f(s,x(s))ds, where 0 <= gamma <= 1 and f : R x R(+) -> R(+) is a continuous map. We also treat the asymptotically, weakly and pseudo almost periodic solutions. Our results do not need the monotonicity of f (t,.).

引用

页码：1075 / 1096

页数：22

共 29 条

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