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Monotone iterative technique for initial-value problems of nonlinear singular discrete systems

โœ Scribed by Peiguang Wang; Jing Zhang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
215 KB
Volume
221
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

This paper studies a class of initial-value problems of nonlinear singular discrete systems and obtains the existence theorem of extremal solutions by employing a monotone iterative technique combined with the method of upper and lower solutions.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Mohammed Al-Refai; Mohamed Ali Hajji ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 382 KB

In this paper we extend the maximum principle and the method of upper and lower solutions to boundary value problems with the Caputo fractional derivative. We establish positivity and uniqueness results for the problem. We then introduce two well-defined monotone sequences of upper and lower solutio