Open Access

Mean Square Summability of Solution of Stochastic Difference Second-Kind Volterra Equation with Small Nonlinearity

Advances in Difference Equations20072007:065012

DOI: 10.1155/2007/65012

Received: 25 December 2006

Accepted: 8 May 2007

Published: 12 June 2007


Stochastic difference second-kind Volterra equation with continuous time and small nonlinearity is considered. Via the general method of Lyapunov functionals construction, sufficient conditions for uniform mean square summability of solution of the considered equation are obtained.


Authors’ Affiliations

Dipartimento di Matematica e Informatica, Universita di Salerno
Department of Higher Mathematics, Donetsk State University of Management


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© B. Paternoster and L. Shaikhet. 2007

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