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A generalization of the method of upper and lower solutions for discontinuous first order problems with nonlinear boundary conditions

✍ Scribed by Alberto Cabada; Rodrigo L. Pouso; Eduardo Liz


Book ID
108396182
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
125 KB
Volume
114
Category
Article
ISSN
0096-3003

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πŸ“œ SIMILAR VOLUMES


Upper and lower solutions method for fir
✍ M Benchohra; J Henderson; S.K Ntouyas; A Ouahab πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 458 KB

ln this paper, a fixed-point theorem for condensing multivalued maps due to Martelli combined with the concept of upper and lower solutions is used to investigate the existence of solutions for first-order impulsive differential inclusions with nonlinear boundary conditions. (~) 2004 Elsevier Ltd. A

Approximation of solutions for nonlinear
✍ Eduardo Liz; Rodrigo L. Pouso πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 506 KB

We prove that it is possible to approximate the solutions of a nonlinear periodic boundary value problem via monotone sequences starting at piecewise continuous upper and lower solutions. In fact, we present here two different iterative methods. Explicit expression of each iteration is obtained by s

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✍ A. Cabada; V. Otero-Espinar; R.L. Pouso πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 756 KB

This paper is devoted to the study of the existence of solutions of first-order difference equations verifying nonlinear conditions that involve the global behavior of the solution. We prove that the existence of lower and upper solutions warrants the existence of such solutions lying in the sector