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Existence and uniqueness of solutions for singular (k, n - k) conjugate boundary value problems

โœ Scribed by Xiaoning Lin; Daqing Jiang; Xiaoyue Li

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
273 KB
Volume
52
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Singular Nonlinear (k, nโˆ’k) Conjugate Bo
Singular Nonlinear (k, nโˆ’k) Conjugate Boundary Value Problems
โœ Paul W. Eloe; Johnny Henderson ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 377 KB

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