Non-autonomous Evolution Equations of Parabolic Type with Non-instantaneous Impulses

被引：18

作者：

Chen, Pengyu ^{[1
]}

Zhang, Xuping ^{[1
]}

Li, Yongxiang ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 05期

基金：

中国国家自然科学基金;

关键词：

non-autonomous evolution equation; parabolicity condition; non-instantaneous impulse; evolution family; mild solution; FUNCTIONAL-DIFFERENTIAL EQUATIONS; MONOTONE ITERATIVE TECHNIQUE; INTEGRODIFFERENTIAL EQUATIONS; CAUCHY-PROBLEMS; MILD SOLUTIONS; EXISTENCE; CONTROLLABILITY; SYSTEMS;

D O I：

10.1007/s00009-019-1384-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Cauchy problem to a class of non-autonomous evolution equations of parabolic type with non-instantaneous impulses in Banach spaces, where the operators in linear part (possibly unbounded) depend on time t and generate an evolution family. New existence result of piecewise continuous mild solutions is established under more weaker conditions. At last, as a sample of application, the abstract result is applied to a class of non-autonomous partial differential equation of parabolic type with non-instantaneous impulses. The result obtained in this paper is a supplement to the existing literature and essentially extends some existing results in this area.

引用

页数：14

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