Some new explicit bounds on solutions to a class of new nonlinear Volterra-Fredholm-type discrete inequalities are established, which can be used as effective tools in the study of certain sum-difference equations. Application examples are also indicated.
On some new nonlinear discrete inequalities and their applications
โ Scribed by Fan Wei Meng; Dehong Ji
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 141 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, some new discrete inequalities in two independent variables which provide explicit bounds on unknown functions are established. The inequalities given here can be used as tools in the qualitative theory of certain finite difference equations.
๐ SIMILAR VOLUMES
Some variants of two-dimensional integral inequalities, so-called inequalities of the VolterraแFredholm type, are considered. In particular, generalizations of the Gronwall inequality are obtained. These results are applied to study the boundedness, stability and uniqueness of the solutions of some
Some new nonlinear delay integral inequalities of Ou-Iang type are obtained ลฝ which generalise some results of B. G.