On nonlocal second order perturbed pseudo integro-differential evolution equations with infinite state-dependent delay

• Autorzy: Abibssi Imane , Baghli-Bendimerad Selma

Identyfikatory

DOI

10.14708/ma.v52i2.7257

Warianty tytułu

PL

O nielokalnych równaniach ewolucyjnych drugiego rzedu z zaburzeniami o pseudocałkowo-różniczkowym charakterze oraz nieskończonym opóznieniu zależnym od stanu

• Języki publikacji: EN

Abstrakty

EN

Celem tej pracy jest zbadanie istnienia „miękkich” rozwiązań zaburzonych równań pseudointegroróżniczkowych ewolucji cząstkowej i neutralnej drugiego rzędu z nieskończonym opóźnieniem zależnym od stanu. Autorzy wykorzystuja nieliniową alternatywę Avramescu (v. Avramescu (2003)) dla sumy operatorów zwartych i kontrakcji w przestrzeniach Frécheta w połączeniu z teorią półgrup.

Słowa kluczowe

EN

perturbed pseudo-integrodifferential evolution equations; second-order; nonlocal conditions; neutral problems; mild solutions; state-dependent delay; fixed point; nonlinear alternative; semigroup; Fréchet spaces; infinite delay

PL

zaburzone pseudo-całkowo-różniczkowe równania ewolucyjne; drugiego rzędu; warunki różniczkowo-całkowe; problemy neutralne; rozwiązania łagodne; opóźnienie zależne od stanu; punkt stały; nieliniowa alternatywa; teoria półgrup; przestrzenie Frécheta; nieskończone opóźnienie

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2024
• Tom: Vol. 52, no. 2
• Strony: 271--298
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Abibssi Imane

• Djillali Liabes University of Sidi Bel-Abbes P. Box 89, Mathematics Laboratory Djillali Liabes University of Sidi Bel-Abbes, Algeria

• https://orcid.org/0000-0003-4110-2006

autor

Baghli-Bendimerad Selma

• Djillali Liabes University of Sidi Bel-Abbes P. Box 89, Mathematics Laboratory Djillali Liabes University of Sidi Bel-Abbes, Algeria

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

Bibliografia

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