WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Some New Generalized Volterra-Fredholm Type Nonlinear Discrete Inequalities
Author:
Abstract: In this paper, we establish some new generalized Volterra-Fredholm type nonlinear discrete inequalities, based on which we study the boundedness of the solutions of a kind of Volterra-Fredholm type sum-difference equation. As a result, New bounds to the solutions are established under some suitable conditions. The established inequalities are further generalizations of the results by Zheng [Adv. Differ. Equ. Article ID: 30 (2011) 1-16 ], Ma [J. Comput. Appl. Math. 233 (2010) 2170-2180], and Zheng [Abstr. Appl. Anal. Article ID: 584951 (2011) 1-24].