On an initial value problem for singular integro-differential equations

• Autorzy: Šmarda Z.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to study the existence and asymptotic behaviour of solutions of a nonlinear singular integro-differential equation.

Słowa kluczowe

EN

integro-differential equation; Schauder's fixed point theorem; Wazewski's topological method

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 4
• Strony: 803--811
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Šmarda Z.

• Department of Mathematics, Faculty of Electrical Engineering and Computer Science, Technical University, Technicka 8, 616 00 Brno, Czech Republic

Bibliografia

• [1] M. Benchohra, On initial value problem for an integro-differential equation, An. Stiint. Univ. "AL.I.Cuza" IASI, S.I Mat. XLV, (1999), 297-304.
• [2] J. V. Bykov, Theory of Integro-Differential Eqations, Kirgiz. Gosudar. Univ., Frunze 1957, 325 p. (in Russian).
• [3] J. Diblík, The singular Cauchy-Nicoletti problem for system of two ordinary differential equations, Math. Bohem. 117(1) (1992), 55-67.
• [4] J. Diblík, On existence of solutions of singular Cauchy problem for system of differential equations nonsolvable to a derivation, Publ. Inst. Math. 37(51) (1985), 73-80 (in Russian).
• [5] P. Hartman, Ordinary Differential Equations, New York, London, Sydney, 1964, 720 p.
• [6] Z. Šmarda, On solutions of an implicit singular system of integro-differential equations depending on a parameter, Demonstratio Math. 31 (1998), 125-130.
• [7] Z. Šmarda, On a behaviour of solutions of integro-differential equations in a neighbourhood of a singular point, Ukrain. Mat. J . 45 (1993), 1716-1721 (in Russian).