Existence results for the second-order three-point boundary value problem ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . xะ s f t, x, xะ , x 0 s A, x y x 1 s y 1 B, 0 --1, are presented. Our analysis is based on a Nonlinear Alternative of Leray-Schauder.
โฆ LIBER โฆ
A Sharper Condition for the Solvability of a Three-Point Second Order Boundary Value Problem
โ Scribed by Chaitan P. Gupta; Sergej I. Trofimchuk
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 155 KB
- Volume
- 205
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
This problem was studied earlier by Gupta, Ntouyas, and Tsamatos when โฃ F 1 and when โฃ ) 1 with โฃ -1. In the general case this problem was studied by Gupta as a multi-point boundary value problem. In this paper sharper existence conditions are obtained for the solvability of the above boundary value problem in the general case.
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