Approximate Controllability of Non-autonomous Evolution System with Nonlocal Conditions View Full Text


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Article Info

DATE

2018-11-29

AUTHORS

Pengyu Chen, Xuping Zhang, Yongxiang Li

ABSTRACT

In this article, we are concerned with the existence of mild solutions as well as approximate controllability for a class of non-autonomous evolution system of parabolic type with nonlocal conditions in Banach spaces. Sufficient conditions of existence of mild solutions and approximate controllability for the desired problem are presented by introducing a new Green’s function and constructing a control function involving Gramian controllability operator. Some sufficient conditions of approximate controllability are formulated and proved here by using the resolvent operator condition. The discussions are based on Schauder’s fixed-point theorem as well as the theory of evolution family. An example is also given to illustrate the feasibility of our theoretical results. More... »

PAGES

1-16

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10883-018-9423-x

DOI

http://dx.doi.org/10.1007/s10883-018-9423-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1110271483


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