## 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 o
โฆ LIBER โฆ
Quadratic approximation of solutions for differential equations with nonlinear boundary conditions
โ Scribed by T. Jankowski
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 386 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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.
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This paper deals with the nonlinear elliptic equationu + u = f (x, u) in a bounded smooth domain โฆ โ R N with a nonlinear boundary value condition. The existence results are obtained by the sub-supersolution method and the Mountain Pass Lemma. And nonexistence is also considered.