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Triple Solutions for Second-Order Three-Point Boundary Value Problems

โœ Scribed by Xiaoming He; Weigao Ge

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
83 KB
Volume
268
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

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 more cases than the sublinear and superlinear ones discussed in recent works.

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.