On the Eigenvalue Problem for One-Dimensional Differential Operator with Nonlocal Integral Condition
Articles
R. Čiupaila
Vilnius Gediminas Technical University, Lithuania
Ž. Jesevičiūtė
Vytautas Magnus University, Lithuania
M. Sapagovas
Institute of Mathematics and Informatics, Lithuania
Published 2004-04-25
https://doi.org/10.15388/NA.2004.9.2.15159
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Keywords

eigenvalue problem
one-dimensional differential operator
integral non-local condition
non-positive eigenvalues
multiple eigenvalues

How to Cite

Čiupaila, R., Jesevičiūtė, Ž. and Sapagovas, M. (2004) “On the Eigenvalue Problem for One-Dimensional Differential Operator with Nonlocal Integral Condition”, Nonlinear Analysis: Modelling and Control, 9(2), pp. 109–116. doi:10.15388/NA.2004.9.2.15159.

Abstract

The article investigates the eigenvalue problem for ordinary onedimensional differential operator with nonlocal integral condition. Such a problem is met in the literature quite rarely and is considerably less investigated. Also the conditions for existence of non-positive eigenvalue or multiple eigenvalues are obtained.

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