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Existence of triple positive solutions for a third-order three-point boundary value problem

โœ Scribed by Yongping Sun


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
229 KB
Volume
221
Category
Article
ISSN
0377-0427

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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

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The existence, nonexistence, and multiplicity of nonnegative solutions are established for the three-point boundary value problem where ฮฒ โˆˆ (0, 1), ฮฑ โˆˆ (0, 1/ฮฒ), and ฮป is a nonnegative parameter, under appropriate hypotheses. The key idea is that the problem of finding a nonnegative solution is tra