Periodic Boundary Value Problem for Impulsive Evolution Equations with Noncompact Semigroup

被引：0

作者：

Ma, Weifeng ^{[1
]}

Li, Yongxiang ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Impulsive evolution equation; Periodic solutions; C(0-)Semigroup; Growth conditions; Measure of noncompactness;

D O I：

10.1007/s12346-023-00808-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by applying the Sadovskii's fixed point theorem, we obtain the existence and uniqueness result of mild solution for a class of periodic boundary value problem of impulsive evolution equations in Banach space with noncompact semigroup in the case that the nonlinearity term f and impulsive functions I-k satisfy growth conditions and the measure of noncompactness conditions. And we give a specific example to illustrate our main results.

引用

页数：12

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