๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Positive solutions of second-order three-point boundary value problems with change of sign

โœ Scribed by Bing Liu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
441 KB
Volume
47
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Positive solutions for second-order thre
Positive solutions for second-order three-point boundary value problems
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

Positive solution for three-point bounda
Positive solution for three-point boundary value problems with sign changing nonlinearities
โœ Jingli Ren; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

By constructing available operators, some new existence theorems of positive solutions are obtained for a class of three-point boundary value problems u"+Ah(t)f(t,u)=O, 0<t<l, ~(0) -Z~'(0) = 0, u(1) = ~(~), where f is allowed to change sign, ~ C (0,1). The associated Green's function for the above p

Positive solutions to a second order thr
Positive solutions to a second order three-point boundary value problem
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