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A Remark on a Second-Order Three-Point Boundary Value Problem

โœ Scribed by S.A. Marano

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
126 KB
Volume
183
Category
Article
ISSN
0022-247X

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๐Ÿ“œ SIMILAR VOLUMES

Existence Theorems for a Second Order Th
Existence Theorems for a Second Order Three-Point Boundary Value Problem
โœ Ruyun Ma ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 201 KB

Existence results for the second-order three-point boundary value problem ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . xะ‰ s f t, x, xะˆ , 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.

Triple Solutions for Second-Order Three-
Triple Solutions for Second-Order Three-Point Boundary Value Problems
โœ Xiaoming He; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 83 KB

We establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u + f t u = 0 u 0 = 0 ฮฑu ฮท = u 1 , where ฮท 0 < ฮท < 1 0 < ฮฑ < 1/ฮท, and f 0 1 ร— 0 โˆž โ†’ 0 โˆž is continuous. We accomplish this by making growth assumptions on f which can apply to many

A Sharper Condition for the Solvability
A Sharper Condition for the Solvability of a Three-Point Second Order Boundary Value Problem
โœ Chaitan P. Gupta; Sergej I. Trofimchuk ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

This problem was studied earlier by Gupta, Ntouyas, and Tsamatos when โฃ F 1 and when โฃ ) 1 with โฃ -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