ON BOUNDEDNESS AND STABILITY IN TERMS OF TWO MEASURES FOR DISCRETE SYSTEMS OF VOLTERRA TYPE

TitleON BOUNDEDNESS AND STABILITY IN TERMS OF TWO MEASURES FOR DISCRETE SYSTEMS OF VOLTERRA TYPE
Publication TypeJournal Article
Year of Publication2002
AuthorsFu, X, Zhang, L
Volume6
Issue1
Start Page61
Pagination11
Date Published2002
ISSN1083-2564
AMS34D20, 45J05
Abstract

In this paper we consider the discrete system of Volterra type. By using Razumikhin techniques, we establish several boundedness and stability criteria for this system in terms of two measures.

URLhttp://www.acadsol.eu/en/articles/6/1/5.pdf
Refereed DesignationRefereed
Full Text

REFERENCES
[1] T. A. Burton, Volterra Integral and Differential Equations, Academic Press, New York, 1983.
[2] Xilin Fu and X. Z. Liu, Uniform boundedness and stability criteria in terms of two measures for
impulsive integro-differential equations, Appl. Math. Comp. (to appear).
[3] V. Lakshmikantham and X. Z. Liu, Stability Analysis in Terms of Two Measures, World Scientific,
Singapore, 1993.
[4] V. Lakshmikantham and M. Rama Mohana Rao, Integro-differential equations and extension of
Lyapunov’s method, JMAA, 30 (1970), 435-447.