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
收藏
页码：2526 / 2544
页数：19
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