On a Fourier problem for evolution differential-functional equations with nonlocal boundary conditions

The boundary value problems with nonlocal boundary conditions have been treated in many works. Individually, Day [1] while studying quasistatic thermoelasticity posed a model involving parabolic equation with nonlocal boundary condition. This model has been expanded into more general problems [1,2]....

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Bibliographic Details
Date:2003
Main Authors: Bokalo, M., Dmytriv, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2003
Series:Нелинейные граничные задачи
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/169191
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On a Fourier problem for evolution differential-functional equations with nonlocal boundary conditions / M. Bokalo, V. Dmytriv // Нелинейные граничные задачи. — 2003. — Т. 13. — С. 31-42. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The boundary value problems with nonlocal boundary conditions have been treated in many works. Individually, Day [1] while studying quasistatic thermoelasticity posed a model involving parabolic equation with nonlocal boundary condition. This model has been expanded into more general problems [1,2]. The results of these papers concern the boundary value problems with an initial condition. In the current paper, we consider Fourier Problem (the problem without initial conditions) for evolution differential-functional equations with nonlocal boundary conditions.