Bin Zheng, "Some New Generalized Volterra-Fredholm Type Nonlinear Discrete Inequalities," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Bin Zheng. Some New Generalized Volterra-Fredholm Type Nonlinear Discrete Inequalities.
WSEAS Transactions on Mathematics. 2012;11:-.
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].
Keywords:
Nonlinear inequalities, Discrete inequalities, Volterra-Fredholm type inequalities, Gronwall-Bellman type inequalities, Finite difference equations, Boundedness
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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