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Positive solutions for semi-positone three-point boundary value problems

✍ Scribed by Chengbo Zhai

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
492 KB
Volume
228
Category
Article
ISSN
0377-0427

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✦ Synopsis

theorem of generalized cone expansion and compression a b s t r a c t Using a fixed point theorem of generalized cone expansion and compression we present in this paper criteria which guarantee the existence of at least two positive solutions for semi-positone three-point boundary value problems with parameter Ξ» > 0 belonging to a certain interval.

πŸ“œ SIMILAR VOLUMES

Existence of positive solution for singu
Existence of positive solution for singular semi-positone conjugate -point boundary value problem
✍ Mingchuan Zhang; Yanmin Yin; Zhongli Wei πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 243 KB

This paper is about a class of singular semi-positone (k, nk) conjugate m-point boundary value problems. By using the fixed-point index theory, we get a sufficient condition for the existence of positive solution to this problem.

Positive solutions for singular systems
Positive solutions for singular systems of three-point boundary value problems
✍ Bingmei Liu; Lishan Liu; Yonghong Wu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 228 KB

This paper investigates the following singular systems of nonlinear second-order three-point boundary value problems where η ∈ (0, 1), 0 < αη < 1, f and g may be singular at t = 0 and/or t = 1. Under some weaker conditions the existence of positive solutions is obtained by applying the fixed point