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.
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页数：12
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