A variational principle for complex boundary value problems

This paper provides a variational formalism for boundary value problems which arise in certain feilds of research such as that of electricity, where the associated boundary conditions contain complex periodic conditions. A functional is provided which embodies the boundary conditions of the problem...

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Main Author: Adnan Atef Hajj
Format: Article
Language:English
Published: Hindawi Limited 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171288000377
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spelling doaj-b95d05181e314caa856f1a84d1856a022020-11-24T23:26:21ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111231531810.1155/S0161171288000377A variational principle for complex boundary value problemsAdnan Atef Hajj0Department of Mathematics, U.A.E.University, Al-Ain United Arab Emirates, United Arab EmiratesThis paper provides a variational formalism for boundary value problems which arise in certain feilds of research such as that of electricity, where the associated boundary conditions contain complex periodic conditions. A functional is provided which embodies the boundary conditions of the problem and hence the expansion (trial) functions need not satisfy any of them.http://dx.doi.org/10.1155/S0161171288000377variational principlefunctionalstationaryboundary conditions complex functionsline integral.
collection DOAJ
language English
format Article
sources DOAJ
author Adnan Atef Hajj
spellingShingle Adnan Atef Hajj
A variational principle for complex boundary value problems
International Journal of Mathematics and Mathematical Sciences
variational principle
functional
stationary
boundary conditions complex functions
line integral.
author_facet Adnan Atef Hajj
author_sort Adnan Atef Hajj
title A variational principle for complex boundary value problems
title_short A variational principle for complex boundary value problems
title_full A variational principle for complex boundary value problems
title_fullStr A variational principle for complex boundary value problems
title_full_unstemmed A variational principle for complex boundary value problems
title_sort variational principle for complex boundary value problems
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1988-01-01
description This paper provides a variational formalism for boundary value problems which arise in certain feilds of research such as that of electricity, where the associated boundary conditions contain complex periodic conditions. A functional is provided which embodies the boundary conditions of the problem and hence the expansion (trial) functions need not satisfy any of them.
topic variational principle
functional
stationary
boundary conditions complex functions
line integral.
url http://dx.doi.org/10.1155/S0161171288000377
work_keys_str_mv AT adnanatefhajj avariationalprincipleforcomplexboundaryvalueproblems
AT adnanatefhajj variationalprincipleforcomplexboundaryvalueproblems
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