On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces

• Autorzy: Metwali Mohamed M. A.

Identyfikatory

DOI

10.1515/dema-2020-0052

• Języki publikacji: EN

Abstrakty

EN

The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces. We utilize the strategy of measure of noncompactness related to the Darbo fixed point principle. As an application, we discuss the presence of solution of the initial value problem with nonlocal conditions.

Słowa kluczowe

EN

quadratic integral equation; Orlicz spaces; initial value problem; nonlocal conditions; Darbo fixed point theorem

PL

równanie całkowe; przestrzeń Orlicza; zagadnienie początkowe; warunki nielokalne; twierdzenie Darbo o punkcie stałym

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 86--94
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Metwali Mohamed M. A.

• Department of Mathematics, Faculty of Sciences, Damanhour University, Damanhour, Egypt

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).