Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces

被引：19
作者：
Arora, S. [1 ]
Mohan, Manil T. [2 ]
Dabas, J. [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Appl Sci & Engn, Roorkee 247667, Uttar Pradesh, India
[2] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 39卷
关键词：
Approximate controllability; Non-autonomous evolution equation; State-dependent delay; Fractional power operator; Schauder's fixed point theorem; FUNCTIONAL-DIFFERENTIAL EQUATIONS; SYSTEMS; MODEL; POPULATION; EXISTENCE;
D O I：
10.1016/j.nahs.2020.100989
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider the non-autonomous semilinear impulsive differential equations with state-dependent delay. The approximate controllability results of the first order systems are obtained in a separable reflexive Banach space, which has a uniformly convex dual. In order to establish sufficient conditions of the approximate controllability of such a system, we have used the theory of linear evolution systems, properties of the resolvent operator and Schauder's fixed point theorem. Finally, we provide two concrete examples to validate our results. (c) 2020 Elsevier Ltd. All rights reserved.
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页数：23
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