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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Format: | Article |
Language: | English |
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Wiley
1988-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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Online Access: | http://dx.doi.org/10.1155/S0161171288000377 |
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author | Adnan Atef Hajj |
author_facet | Adnan Atef Hajj |
author_sort | Adnan Atef Hajj |
collection | DOAJ |
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. |
format | Article |
id | doaj-art-b95d05181e314caa856f1a84d1856a02 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1988-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-b95d05181e314caa856f1a84d1856a022025-02-03T05:54:17ZengWileyInternational 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. |
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. |
title | 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_short | A variational principle for complex boundary value problems |
title_sort | variational principle for complex boundary value problems |
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 |