Solvability of a quadratic integral equation of Fredholm type via a modified argument

• Autorzy: Dal İlyas , Temizer Ӧmer Faruk

Identyfikatory

DOI

10.7862/rf.2020.3

• Języki publikacji: EN

Abstrakty

EN

This article concerns with the existence of solutions of thea quadratic integral equation of Fredholm type with a modified argument, [wzór], where p, k are functions and F is an operator satisfying the given conditions. Using the properties of the Hölder spaces and the classical Schauder fixed point theorem, we obtain the existence of solutions of the equation under certain assumptions. Also, we present two concrete examples in which our result can be applied.

Słowa kluczowe

EN

Fredholm equation; Hölder condition; Schauder fixed point theorem

PL

równanie Fredholma; warunek Höldera; punkt stały Schaudera

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2020
• Tom: Vol. 43
• Strony: 47--66
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Dal İlyas

• Department of Mathematical Education, Inönü University, 44280-Malatya, TURKEY

autor

Temizer Ӧmer Faruk

• Eğitim Fakültesi, A-Blok, Inönü University, 44280-Malatya, TURKEY

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).