Existence and stability results for a class of nonlocal semilinear equations involving delays

被引：0

作者：

Quan, Nguyen Nhu ^{[1
]}

机构：

[1] Elect Power Univ, Dept Math, Hanoi, Vietnam

来源：

ANNALES POLONICI MATHEMATICI | 2023年 / 130卷 / 03期

关键词：

weak stability; measure of noncompactness; condensing map; fixed point theory; DIFFUSION EQUATION; INVERSE PROBLEMS; TIME;

D O I：

10.4064/ap220912-5-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence and weak stability of mild solutions for a class of nonlocal semilinear equations involving finite delays. Based on local estimates and fixed point arguments, we prove the global existence of mild solutions to problems in which the nonlinearity is superlinear or sublinear without the smallness condition on initial data or on the coefficients. Then by using a special measure of noncompactness, we show some sufficient conditions ensuring the weak stability of mild solutions.

引用

页码：271 / 287

页数：17

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