Characteristic functions for sturm—liouville problems with nonlocal boundary conditions
Abstract
This paper presents some new results on a spectrum in a complex plane for the second order stationary differential equation with one Bitsadze‐Samarskii type nonlocal boundary condition. In this paper, we survey the characteristic function method for investigation of the spectrum of this problem. Some new results on characteristic functions are proved. Many results of this investigation are presented as graphs of characteristic functions. A definition of constant eigenvalues and the characteristic function is introduced for the Sturm‐Liouville problem with general nonlocal boundary conditions.
First published online: 14 Oct 2010
Keywords:
Sturm‐Liouville problem, nonlocal boundary conditionsHow to Cite
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Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.