An eigenvalue problem for the differential operator with an integral condition | Zendy

Kristina Jakubėlienė | Zendy

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An 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.

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