Name: Nonlinear volterra equations with infinite delay
Creator: Fitzgibbon, W.E.
Keywords: Other nonlinear integral equations, 2. Zero hunger, 510.mathematics, Volterra integral equations, Stability theory for integral equations, 0103 physical sciences, Theoretical approximation of solutions to integral equations, 0101 mathematics, 01 natural sciences, Article

Nonlinear Volterra equations with infinite delay

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1977 English Publisher:Springer Science and Business Media LLCJournal:Monatshefte f�r Mathematik, volume 84, pages 275-288 (issn: 0026-9255, eissn: 1436-5081,

Authors: Fitzgibbon, W.E.;

doi: 10.1007/bf01366497

Nonlinear volterra equations with infinite delay

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Abstract

This paper is concerned with the existence and stability of nonlinear Volterra equations which have infinite delay and are of the form: $$x (\varphi ) (t) = W (t, \tau ) \varphi (0) + \int\limits_\tau ^t {W (t, s)} F(s,x_s (\varphi )) ds, x_\tau (\varphi ) = \varphi \in C_u .$$

Related Organizations

DigiZeitschriften
Germany
University of Houston
United States

Keywords

Other nonlinear integral equations, 510.mathematics, Volterra integral equations, Stability theory for integral equations, Theoretical approximation of solutions to integral equations, Article

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