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Total controllability of nonlocal semilinear functional evolution equations with non-instantaneous impulses

Author

Listed:
  • J. Kumar

    (Indian Institute of Technology Roorkee)

  • S. Singh

    (Indian Institute of Technology Roorkee)

  • S. Arora

    (Indian Institute of Technology Roorkee)

  • J. Dabas

    (Indian Institute of Technology Roorkee)

Abstract

In this article, we are discussing a more vital concept of controllability, termed total controllability. We have considered a nonlocal semilinear functional evolution equation with non-instantaneous impulses and finite delay in Hilbert spaces. A set of sufficient conditions of total controllability is obtained for the evolution system under consideration by imposing the theory of $$C_0$$ C 0 -semigroup and Banach fixed point theorem. We also established the total controllability results for a functional integro-differential equation. Finally, an example demonstrates the feasibility of derived abstract results.

Suggested Citation

  • J. Kumar & S. Singh & S. Arora & J. Dabas, 2025. "Total controllability of nonlocal semilinear functional evolution equations with non-instantaneous impulses," Indian Journal of Pure and Applied Mathematics, Springer, vol. 56(4), pages 1367-1384, December.
    • Handle: RePEc:spr:indpam:v:56:y:2025:i:4:d:10.1007_s13226-024-00613-4
    DOI: 10.1007/s13226-024-00613-4
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