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.
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页数：14
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