The quasilinearization method is used for nonlinear ordinary differential equations with nonlinear boundary conditions. Given are sufficient conditions when corresponding monotone sequences converge to the unique solution and this convergence is quadratic. (~ 2004 Elsevier Ltd. All rights reserved.
Multiple solutions for fractional differential equations with nonlinear boundary conditions
โ Scribed by Xiping Liu; Mei Jia
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 270 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
Method of upper and lower solutions Multiple solutions a b s t r a c t
In this paper, we study certain fractional differential equations with nonlinear boundary conditions. By means of the Amann theorem and the method of upper and lower solutions, some new results on the multiple solutions are obtained.
๐ SIMILAR VOLUMES
In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations of order q โ (1, 2] with irregular boundary conditions in a Banach space. Our results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem.
In this paper, we are concerned with the nonlinear differential equation of fractional order where D ฮฑ 0+ is the standard Riemann-Liouville fractional order derivative, subject to the boundary conditions We obtain the existence and multiplicity results of positive solutions by using some fixed poi