Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces

• Autorzy: Boudefla Chahrazed , Baghli-Bendimerad Selma

Identyfikatory

DOI

10.24425/acs.2024.149655

• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove the controllability of mild solutions of neutral functional evolution equations with state-dependent delay and nonlocal conditions. We establish the non local controllability of mild solutions under certain conditions by combining Avramescu’s nonlinear alternative for the sum of compact and contraction operators in Fréchet spaces with semigroup theory.

Słowa kluczowe

EN

neutral evolution equations; mild solution; controllability; infinite delay; state-dependent delay; nonlocal conditions; fixed point; nonlinear alternative; semigroup theory; Fréchet spaces

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2024
• Tom: Vol. 34, No. 1
• Strony: 117--148
• Opis fizyczny: Bibliogr. 30 poz., wzory

Twórcy

autor

Boudefla Chahrazed

• Po. Box 89, Laboratory of Mathematics, Djillali LiabesUniversity of Sidi Bel-Abbès 22000, Algeria

• https://orcid.org/0000-0003-4805-3307

autor

Baghli-Bendimerad Selma

• Po. Box 89, Laboratory of Mathematics, Djillali LiabesUniversity of Sidi Bel-Abbès 22000, Algeria

• https://orcid.org/0000-0003-4397-8300

Bibliografia

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Uwagi

This paper was supported by General Directorate for Scientific Research and Technological Development (DGRSDT), University-Training Research Projects: C00L03UN220120210002 PRFU 2021 project.