ON THE EXISTENCE OF MILD SOLUTIONS FOR NONLOCAL IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：8

作者：

Dieye, M. ^{[1
]}

Diop, M. A. ^{[1
]}

Ezzinbi, K. ^{[2
]}

Hmoyed, H. ^{[1
]}

机构：

[1] Univ Gaston Berger St Louis, UFR SAT, Dept Math, BP 234, St Louis, Senegal

[2] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, BP 2390, Marrakech, Morocco

来源：

MATEMATICHE | 2019年 / 74卷 / 01期

关键词：

Nonlocal and impulsive conditions; integrodifferential equations; OPTIMAL FEEDBACK-CONTROL; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; HEAT-CONDUCTION; SYSTEMS; CONTROLLABILITY;

D O I：

10.4418/2019.74.1.2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence of mild solutions for a class of nonlinear impulsive integrodifferential equations with a nonlocal initial conditions. Sufficient conditions for the existence are derived with the help of the resolvent operator. In the end, an example is given to show the application of our result.

引用

页码：13 / 34

页数：22

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