On singular initial value problem for nonlinear Fredholm integrodifferential equations

• Autorzy: Smarda Z.
• Języki publikacji: EN

Abstrakty

EN

There are given conditions for the solvability of the singular initial value problem for Fredholrn integrodifferential equations. The continuous dependence of solutions on a parameter is investigated as well.

Słowa kluczowe

EN

Fredholm integrodifferential equations; Banach contraction theorem

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2007
• Tom: Nr 37
• Strony: 79--85
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Smarda Z.

• Department of Mathematics Faculty of Electrical Engineering and Communication Brno University of Technology, Technicka 8, 61600 Brno Czech Republic,

Bibliografia

• [1] BENCHOHRA M., On initial value problem for an Integra-differential equation, An. Stiint. Univ. "AL.I.Cuza" IASI. S.I.Mat, XLV, (1999), 297-304.
• [2] DIBLI'K J., The singular Cauchy-Nicoletti problem for system of two ordinary differential equations, Math. Bohem., 117(1)(1992), 55-67.
• [3] DIBLIK J., RUZICKOVA M., Existence of positive solutions of a singular initial problem for a nonlinear system of differential equations, Rocky Mountain Journal of Mathematics, 34(2004), 923-944.
• [4] SMARDA Z., On solutions of an implicit singular system of integrodifferential equations depending on a parameter, Demonstratio Mathematica. 31(1)(1998), 125-130.
• [5] SMARDA Z., On an initial value problem for singular integro- differential equations, Demonstratio Mathematica. 35(4)(2002), 803-811.
• [6] YANG G., Minimal positive solutions to some singular second-order differential equations, J. Math. Anal. Appl, 266(2002), 479-491.
• [7] ZHANG E.G., KONG L., Positive solutions for a class of singular boundary value problems, Dyn. Sys. Appl, 9(2001), 281-289.