International Journal of Nonlinear Analysis and Applications

A note on Approximate controllability of differential inclusion with non-instantaneous impulses

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University Mathura, 281406, India

2 Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati 522237, India

Abstract

The article explores the study of approximation controllability in a particular subset of differential inclusion systems that include non-instantaneous impulses in the Banach space X. By using non-linear alternatives for Kakutani mappings, semi-group theory, and fixed-point theorems. Our approach yields noteworthy conclusions. Furthermore, we provide a concrete example to clarify how the suggested theoretical framework might be used in practice. An investigation of the concept of approximation controllability is crucial for comprehending the dynamics of a system, especially in situations when attaining exact control is difficult. When we consider systems with impulses that do not happen instantly, we face complexity that requires advanced mathematical techniques for a comprehensive examination. Our study expands the theoretical comprehension of controllability in complex systems and provides valuable insights for both theoretical investigation and practical applications in control theory.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 11 September 2025
  • Receive Date: 01 June 2024
  • Revise Date: 26 October 2024
  • Accept Date: 18 December 2024