On the existence Lp-solution of Volterra integral equation with weakly singular kernel

• Autorzy: Dutkiewicz A.
• Języki publikacji: EN

Abstrakty

EN

We shall give sufficient conditions for the existence of a solution x is an element of Lp(D,E) of the Volterra integral equation (1) with weakly singular kernel.

Słowa kluczowe

EN

Volterra integral equation; Banach space; mathematical analysis

PL

integralne równanie Volterra; przestrzeń Banacha; analiza matematyczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 4
• Strony: 837--844
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Dutkiewicz A.

• Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87, 61-614 Poznań, Poland

Bibliografia

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• [3] H. Monch, Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces, Nonlinear Analysis 4 (1980), 985–999.
• [4] J. Januszewski, On Volterra integral equations with weakly sigular kernel in Banach spaces, Demonstratio Math. XXVI (1993), 131–136.
• [5] W. Kołodziej, Wybrane rozdziały analizy matematycznej, PWN, Warszawa 1982.
• [6] B. Sadovskii, Limit-compact and condensing mappings, Russian Math. Surveys 27 (1972), 85–155.
• [7] S. Szufla, On the Hammerstein integral equation with weakly singular kernel, Funkcialaj Ekvacioj 34 (2) (1991), 279–285.
• [8] S. Szufla, Appendix to the paper "An existence theorem for the Urysohn integral equation in Banach spaces", Comm. Math. Univ. Carolinae, 25 (1984), 763–764.