On the Averaging Principle for Semilinear Functional Differential Equations with Infinite Delay in a Banach Space

被引：0

作者：

Guedda L. ^{[1
]}

Ouardani A. ^{[1
]}

机构：

[1] Department of Mathematics, Ibn Khaldoun University, P.O. Box 78, Tiaret

来源：

Journal of Mathematical Sciences | 2022年 / 265卷 / 4期

关键词：

D O I：

10.1007/s10958-022-06071-9

中图分类号：

学科分类号：

摘要：

We establish averaging results for semilinear functional-differential equations with infinite delay in an abstract phase space of axiomatically defined Banach space-valued functions, where the unbounded linear part generates a noncompact semigroup and the nonlinear part satisfies a condition with respect to the second argument, which is weaker than the ordinary Lipschitz condition. As a preliminary result, by using the technique of the theory of condensing maps, we establish a theorem on existence and uniqueness of mild solutions for equations of this kind. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：629 / 650

页数：21

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