Nonlocal semilinear integro-differential inclusions via vectorial measures of noncompactness

被引：10

作者：

Bungardi, Sandra ^{[1
]}

Cardinali, Tiziana ^{[2
]}

Rubbioni, Paola ^{[2
]}

机构：

[1] Babes Bolyai Univ, Dept Appl Math, Cluj Napoca, Romania

[2] Univ Perugia, Dept Math & Comp Sci, Perugia, Italy

来源：

APPLICABLE ANALYSIS | 2017年 / 96卷 / 15期

关键词：

Integro-differential semilinear inclusion; nonlocal condition; mild solution; vectorial measure of noncompactness; reaction-diffusion equation; 34G25; 34B10; 47H08; 35K57; DIFFUSION EQUATION; MILD SOLUTIONS; EXISTENCE; SYSTEMS;

D O I：

10.1080/00036811.2016.1227969

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we show the existence of mild solutions to a nonlocal semilinear integro-differential problem via a new R-2-valued measure of noncompactness involving a Volterra integral operator. Our existence result extends in a broad sense some recent theorems for integro-differential equations. Then we provide a compactness result on the mild solution set and an application to a reaction-diffusion problem involving a distributed time delay.

引用

页码：2526 / 2544

页数：19

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