IJAM: Volume 37, No. 1 (2024)

DOI: 10.12732/ijam.v37i1.6

NONLOCAL CONTROLLABILITY OF MILD SOLUTIONS

FOR EVOLUTION EQUATIONS WITH STATE-DEPENDENT

DELAY IN FRECHET SPACES

Chahrazed Boudefla 1, Selma Baghli-Bendimerad 2,§

P.O. Box 89, Laboratory of Mathematics

Djillali Liabes University

Sidi Bel-Abbes - 22000, ALGERIA

Abstract. In this paper, we establish the nonlocal controllability of mild solutions of partial functional evolution equations with state-dependent delays in Frechet spaces. We give sufficient conditions to obtain the nonlocal controllability of mild solutions by using Avramescu’s nonlinear alternative to for the sum of compact and contraction operators in Frechet spaces, combined with semigroup theory.

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How to cite this paper?
DOI: 10.12732/ijam.v37i1.6
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 1

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IJAM: Volume 37, No. 1 (2024)

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