Z. B. Tsalyuk, M. V. Tsalyuk, “The asymptotic behavior of solutions of a certain nonlinear Volterra equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, Number 7,Pages <nobr>35

This article is cited in 1 paper

The asymptotic behavior of solutions of a certain nonlinear Volterra equation

Z. B. Tsalyuk^a, M. V. Tsalyuk^b

^a Chair of Differential and Integral Equations, Kuban State University, Krasnodar, Russia
^b Center of Distance Education, Krasnodar Regional Institute of Supplementary Professional Pedagogical Education, Krasnodar, Russia

Abstract: We study the asymptotic behavior of bounded and unbounded solutions to the Volterra–Hammerstein equation. We obtain conditions for the admissibility of pairs of spaces of functions representable as a sum of a quasipolynomial and a subsum of the Taylor expansion at the point in infinity.

Keywords: asymptotic behavior, Volterra–Hammerstein equations.

UDC: 517.968

Received: 20.07.2011