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Multiple positive solutions for nonlinear three-point boundary value problems on time scales

✍ Scribed by İsmail Yaslan

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
236 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we consider the nonlinear second-order three-point boundary value problem

where T is a time scale, 0 ≤ t 1 < t 2 < t 3 , α > 0 and β ≥ 0 are given constants. By using fixed-point theorems in cones, some new results are obtained for the existence of at least one,two and three positive solutions of the above problem.

📜 SIMILAR VOLUMES

Positive solutions of nonlinear -point b
Positive solutions of nonlinear -point boundary value problems on time scales
✍ N. Aykut Hamal; Fulya Yoruk 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 650 KB

In this paper, by using fixed point theorems in a cone and the associated Green's function, we study the existence of at least two and three positive solutions to the m-point boundary value problem (BVP) on time scales,

Multiple Positive Solutions of Nonlinear
Multiple Positive Solutions of Nonlinear Two-Point Boundary Value Problems
✍ Zhaoli Liu; Fuyi Li 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 172 KB

We improve the results obtained by Erbe, Hu, and Wang in a recent paper. We show that there exist at least two positive solutions of two-point boundary value problems under conditions weaker than those used by Erbe, Hu, and Wang.