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Existence of Positive Solutions to Semipositone Singular Dirichlet Boundary Value Problems

✍ Scribed by Svatoslav Staněk

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
322 KB
Volume
22
Category
Article
ISSN
1439-7617

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📜 SIMILAR VOLUMES

Positive solutions for a class of singul
Positive solutions for a class of singular semipositone boundary value problems
✍ S. Staněk 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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

Positive solutions of singular Dirichlet
Positive solutions of singular Dirichlet and periodic boundary value problems
✍ S. Staněk 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 748 KB

A and T be positive numbers. The singular differential equation (T(I)=')' = pq(t)f(t,r) is considered. Here T > 0 on (0, A] may be singular at I = 0, and f(t,~) < 0 may be singular at I = 0 and I = A. Effective sufficient conditions imposed on T, p, q, and f are given for the existence of a solution