International Journal of Differential Equations
- Int. J. Differ. Equ.
- Volume 2015 (2015), Article ID 230405, 19 pages.
Solvability of Nth Order Linear Boundary Value Problems
This paper presents a method that provides necessary and sufficient conditions for the existence of solutions of nth order linear boundary value problems. The method is based on the recursive application of a linear integral operator to some functions and the comparison of the result with these same functions. The recursive comparison yields sequences of bounds of extremes that converge to the exact values of the extremes of the BVP for which a solution exists.
Int. J. Differ. Equ., Volume 2015 (2015), Article ID 230405, 19 pages.
Received: 27 July 2015
Accepted: 4 October 2015
First available in Project Euclid: 20 January 2017
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Almenar, P.; Jódar, L. Solvability of N th Order Linear Boundary Value Problems. Int. J. Differ. Equ. 2015 (2015), Article ID 230405, 19 pages. doi:10.1155/2015/230405. https://projecteuclid.org/euclid.ijde/1484881447