An eigenvalue problem for the differential operator with an integral condition
Articles
Kristina Jakubėlienė
Vilnius University
Published 2012-12-15
https://doi.org/10.15388/LMR.A.2012.09
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Keywords

parabolic equation
nonlocal integral condition
eigenvalue problem
stability conditions

How to Cite

Jakubėlienė K. (2012) “An eigenvalue problem for the differential operator with an integral condition”, Lietuvos matematikos rinkinys, 53(A), pp. 48–53. doi: 10.15388/LMR.A.2012.09.

Abstract

We analyze solution of a two-dimensional parabolic equation with a nonlocal integral condition by a locally one-dimensional method. The main aim of the paper is to deduce stability conditions of a system of one-dimensional equations with one integral condition. To this end, we analyze the structure of the spectrum of the differential operator with an integral condition.

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