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Almost periodic and asymptotically almost periodic mild solutions for nonlinear abstract functional differential equations with infinite delay

机译：无限时滞非线性抽象泛函微分方程的概周期解和渐近概周期解

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In this paper we study a class of nonlinear abstract functional differential equations with infinite delay. Some sufficient conditions for the existence and uniqueness of almost periodic and asymptotically almost periodic mild solutions for the equation are obtained by using the contraction fixed point theorem.

机译：在本文中，我们研究了一类具有无限延迟的非线性抽象泛函微分方程。通过使用压缩不动点定理，为方程的几乎周期和渐近几乎周期的温和解的存在和唯一性提供了一些充分的条件。

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《2011 International Conference on Multimedia Technology》|2011年|p.6221-6224|共4页
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作者
Peng Xiao; Yanfei Du;
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正文语种
中图分类多媒体技术与多媒体计算机;
关键词
Almost periodic; Asymptotically almost periodic; Infinite delay; Nonlinear abstract functional differential equation;

机译：概周期;渐近概周期;无限时滞;非线性抽象泛函微分方程;

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专利

1. 泛函微分方程的一致渐近稳定与概周期解的存在性 [J] . 迪申加卜, 王克东北数学：英文版 . 1999,第001期
2. On SS ‐asymptotically ωω ‐periodic and Bloch periodic mild solutions to some fractional differential equations in abstract spaces [J] . Oueama‐Guengai Enock R., NGuérékata Gaston M. Mathematical Methods in the Applied Sciences . 2018,第18期

机译：在 s s -asymptotally ω ω-periodic和Bloch周期性温和解决方案中的一些分数微分方程
3. Periodic and asymptotically periodic solutions of systems of nonlinear difference equations with infinite delay [J] . Adivar M., Koyuncuo?lu H.C., Raffoul Y.N. Journal of difference equations and applications . 2013,第11a12期

机译：无限时滞非线性差分方程组的周期解和渐近周期解
4. Existence of S-asymptotically ω-periodic solutions for fractional order functional integro-differential equations with infinite delay [J] . Claudio Cuevas, Julio Cesar de Souza Nonlinear Analysis: An International Multidisciplinary Journal . 2010,第3a4期

机译：无限时滞分数阶泛函积分-微分方程的S-渐近ω-周期解的存在性
5. Almost periodic and asymptotically almost periodic mild solutions for nonlinear abstract functional differential equations with infinite delay [C] . Peng Xiao, Yanfei Du International Conference on Multimedia Technology . 2011

机译：具有无限延迟的非线性摘要功能微分方程的几乎定期和渐近几乎定期的温和溶液
6. Piecewise Stepanov-like Pseudo-Almost Periodic Solutions to Abstract Impulsive Differential Equations [D] . Sy, Demba 2019

机译：抽象脉冲微分方程的分段Stepanov型伪概周期解
7. ASYMPTOTIC BEHAVIOR AND PERIODIC SOLUTIONS OF A NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATION [O] . G. Stephen Jones 1961

机译：非线性微分方程的渐近行为和周期解
8. PERIODIC AND ASYMPTOTICALLY PERIODIC SOLUTIONS OF SYSTEMS OF NONLINEAR DIFFERENCE EQUATIONS WITH INFINITE DELAY [O] . Murat Adivar, H. Can Koyuncuoğlu, Youssef, 2016

机译：具有无穷时滞的非线性差分方程组的周期和渐近周期解
9. Final Report Periodic Solutions of Nonlinear Differential Equations and Solutions of Functional Equations by Topological Methods [R] . Jane Cronin Scanlon 1965

机译：非线性微分方程的最终报告周期解及拓扑方法的泛函方程解

Almost periodic and asymptotically almost periodic mild solutions for nonlinear abstract functional differential equations with infinite delay

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