Open AccessAn eigenvalue problem for the differential operator with an integral condition
Author(s) -
Kristina Jakubėlienė
Publication year - 2012
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.a.2012.09
Subject(s) - mathematics , eigenvalues and eigenvectors , integral equation , operator (biology) , mathematical analysis , fourier integral operator , stability (learning theory) , spectrum (functional analysis) , differential equation , physics , computer science , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene , machine learning
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.