For 1 k n&1, solutions are obtained for the boundary value problem, (&1) n&k y (n) = f(x, y), y (i) (0)=0, 0 i k&1, and y ( j) (1)=0, 0 j n&k&1, where f (x, y) is singular at y=0. An application is made of a fixed point theorem for operators that are decreasing with respect to a cone. 1997 Academic
Singular (k, n − k) boundary value problems between conjugate and right focal
✍ Scribed by Johnny Henderson; William Yin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 556 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
By mixed monotone method, the existence and uniqueness are established for singular (k, n -k) conjugate boundary value problems. The theorems obtained are very general and complement previous known results. (~) 2006 Elsevier Ltd. All rights reserved.
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A new integral representation of the Green's function for k, n y k conjugate boundary value problems is obtained. Its applications are also given. ᮊ 2001