✦ LIBER ✦

Positive solutions for singular systems of three-point boundary value problems

✍ Scribed by Bingmei Liu; Lishan Liu; Yonghong Wu

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 228 KB
Volume: 53
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.07.014

No coin nor oath required. For personal study only.

✦ Synopsis

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 theorem of cone expansion and compression. Two examples are then presented to demonstrate the application of our main results.

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