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Positive solutions of a singular semipositone boundary value problems for fourth-order coupled difference equations

✍ Scribed by Wenjin Li, Yupeng Fei, Biaoan Shan, Yanni Pang


Book ID
119906802
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
229 KB
Volume
2012
Category
Article
ISSN
1687-1839

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✍ S. StanΔ›k πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 571 KB

The paper presents sufficient conditions for the existence of positive solutions to the singular boundary value problem I" = pq(t)f(t, z,z'), W(O) -&T'(O) = a > 0, z(T) = 0 with q > 0 on (O,T), f 2 0 on a suitable subset of (O,T] x (0,oo) x R which may be singular at z = 0 and where either a, p E (0

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We consider the existence of positive solutions for the following fourth-order singular Sturm-Liouville boundary value problem: where g, p may be singular at t = 0 and/or 1. Moreover F(t, x) may also have singularity at x = 0. The existence and multiplicity theorems of positive solutions for the fo