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Positive Solution of Singular Boundary Value Problems on a Half-Line

✍ Scribed by Zhong-li Wei; Shao-zhu Chen


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
157 KB
Volume
21
Category
Article
ISSN
0168-9673

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✍ MirosΕ‚awa Zima πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 91 KB

We study the existence of positive solutions of boundary value problems on the half-line for differential equations of second order. The Krasnoselskii fixed point theorem on cone compression and expansion is used.

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In this paper, we consider the boundary value problem on the half-line where k : [0, ∞) β†’ (0, ∞) and f : [0, ∞) Γ— [0, ∞) β†’ R are continuous. We show the existence of positive solutions by using a fixed point theorem in cones.