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

E. AIT DADS; P. CIEUTAT; L. LHACHIMI

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

机译：一些中性非线性积分方程的正概周期解或代数解的存在性

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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) =γx (t-σ) (1-γ)∫_(t-σ)~t/f(s,x(s))ds, where 0 < γ < 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, .).

机译：我们为以下中性积分方程的正解，几乎周期解或遍历解的存在给出充分条件：x（t）=γx（t-σ）（1-γ）∫_（t-σ）〜t / f （s，x（s））ds，其中0 <γ<1且f：R x R〜→R〜+是连续映射。我们还处理渐近，弱和伪几乎周期的解。我们的结果不需要f（t，。）的单调性。

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来源
《Differential and integral equations》 |2009年第12期|共22页
作者
E. AIT DADS; P. CIEUTAT; L. LHACHIMI;
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正文语种 eng
中图分类 513B0075;
关键词
NEUTRAL; sufficient conditions; existence;

机译：中立;充分条件;存在;

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专利

1. EXISTENCE OF POSITIVE ALMOST PERIODIC OR ERGODIC SOLUTIONS FOR SOME NEUTRAL NONLINEAR INTEGRAL EQUATIONS [J] . E. AIT DADS, P. CIEUTAT, L. LHACHIMI Differential and integral equations . 2009,第11a12期

机译：一些中性非线性积分方程的正概周期解或代数解的存在性
2. Existence of positive pseudo almost periodic solutions to a class of neutral integral equations [J] . Ding H.-S., Chen Y.-Y., NGuérékata G.M. Nonlinear Analysis: An International Multidisciplinary Journal . 2011,第18期

机译：一类中立型积分方程的正伪几乎周期解的存在性
3. Existence of positive almost automorphic solutions to neutral nonlinear integral equations [J] . Ding HS, Liang J, NGuerekata GM, Nonlinear Analysis: An International Multidisciplinary Journal . 2008,第4期

机译：中立型非线性积分方程的正自亚纯解的存在性。
4. Existence of three positive periodic solutions of nonlinear neutral functional differential equations with impulses and delays [C] . Yaping Ren 2011 International Conference on Multimedia Technology . 2011

机译：具脉冲和时滞的非线性中立型泛函微分方程三个正周期解的存在性。
5. Existence and multiplicity of positive solutions of nonlinear integral and differential equations. [D] . Wang, Haiyan. 1997

机译：非线性积分和微分方程正解的存在性和多重性。
6. Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales [O] . Bing Li, Yongkun Li, Xuemei Zhang -1

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7. Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable coefficients on a time scale [O] . Abdelouaheb Ardjouni, Ahcene Djoudi 2018

机译：时间尺度上变系数非线性中立型动力方程正周期解的存在性

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

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