Solvability of a Class of N -th Order Linear Focal Problems
Abstract
This paper presents a recursive method which yields necessary and sufficient conditions for the existence of solutions of a class of n-th order linear focal boundary value problems in the interior of a given interval, in the form of integral inequalities. Some results on the sign of the derivatives of the Green functions of n-th order linear focal boundary value problems will also be provided.
Keywords:
disfocality, n-th order linear boundary value problem, Green function, cone theory, Lyapunov inequalityHow to Cite
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Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2017 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.