A study on approximate controllability of non-autonomous evolution system with nonlocal conditions using sequence method. (16th December 2022)

• Record Type: Journal Article
• Authors: Gou, Haide; Li, Yongxiang
• Is Part Of: Optimization. Volume 71:Number 16(2022)
• Page Start: 4763
• Page End: 4783
• Publication Date: 2022-12-16
• Subjects: Approximate controllability -- non-autonomous evolution equation -- mild solutions -- evolution family; 34K30 -- 34K35 -- 35R11 -- 93B05; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1969391
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : The purpose of this paper is concerned with the existence of mild solutions and approximate controllability for a class of non-autonomous evolution system with nonlocal conditions in Banach spaces. First, the existence of mild solution is obtained by means of contraction mapping principle. Then sufficient conditions have been presented to establish the approximate controllability by using the sequence method. The application of the theory is explained by an example.