Mild Solution and Approximate Controllability of Retarded Semilinear Systems with Control Delays and Nonlocal Conditions. (15th June 2021)

• Record Type: Journal Article
• Authors: Haq, Abdul; Sukavanam, N.
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 6(2021)
• Page Start: 721
• Page End: 737
• Publication Date: 2021-06-15
• Subjects: Approximate controllability -- fixed point -- mild solution -- strongly continuous semigroup; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1928697
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: This work studies the approximate controllability of a class of first-order retarded semilinear differential equations with delays in control and nonlocal conditions. First we deduce the existence of mild solutions using fixed point approach. For this, the nonlinear function is supposed to be locally Lipschitz, which is a weaker condition than Lipschitz continuity. Controllability results of the system are shown by using the approximate and iterative technique. The results are illustrated by providing an example.