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Positive solutions of singular positone dirichlet boundary value problems

✍ Scribed by S. Staněk


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
638 KB
Volume
33
Category
Article
ISSN
0895-7177

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## Abstract The paper presents existence results for positive solutions of the differential equations __x__ ″ + __μh__ (__x__) = 0 and __x__ ″ + __μf__ (__t, x__) = 0 satisfying the Dirichlet boundary conditions. Here __μ__ is a positive parameter and __h__ and __f__ are singular functions of non‐p

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✍ 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