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Positive solutions for a second-order three-point discrete boundary value problem

โœ Scribed by Zengji Du

Book ID
107619674
Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
298 KB
Volume
26
Category
Article
ISSN
1598-5865

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Positive solutions to a second order thr
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โœ Zhongxin Zhang; Junyu Wang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

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

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โœ Ruyun Ma ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

We establish the existence of positive solutions for the three-point boundary value problem u" + a(t)f(u) = o, u(0) = 0, u(1) -au(~) = b, where b, c~ > 0, r/ E (0, 1), a~? < 1, are given. Under suitable conditions, we show that there exists a positive number b\* such that the problem has at least on