The singular differential equation (g(x')) ' = f(t, x, x') together with the nonlocal boundary conditions x(0) = x(T) = -Tmin{x(t) : t E [0,T]} is considered. Here g E C°(]R) is an increasing and odd function, positive f satisfying the local Carath4odory conditions on [0, T] × (]R \ {0}) 2 may be si
✦ LIBER ✦
Neumann boundary value problems with singularities in a phase variable
✍ Scribed by Ravi P. Agarwal; Donal O’Regan; Svatoslav Staněk
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 196 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0001-9054
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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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