Inverse nodal problem for a class of nonlocal sturm‐liouville operator
Abstract
Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered. We prove that a dense subset of nodal points uniquely determine the boundary condition parameter and the potential function of the Sturm‐Liouville equation. We also provide a constructive procedure for the solution of the inverse nodal problem.
First published online: 09 Jun 2011
Keywords:
Sturm‐Liouville problem, nonlocal integral condition, inverse nodal problem, potential function, reconstruction formulaHow to Cite
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Copyright (c) 2010 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2010 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.