A variational formalism for the eigenvalues of fourth order boundary value problems
This paper describes a variational approach for computing eigenvalues of a two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced. An attractive feature of this approach is the technique of enforcing the boundar...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000906 |
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doaj-420906213acb4747883692d75eb2913e2020-11-24T23:19:50ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112472973410.1155/S0161171289000906A variational formalism for the eigenvalues of fourth order boundary value problemsAdnan A. Hajj0Department of Mathematics, U.A.E. University, Al-Ain, United Arab EmiratesThis paper describes a variational approach for computing eigenvalues of a two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced. An attractive feature of this approach is the technique of enforcing the boundary conditions by the variational functional. Consequently, the expansion functions need not satisfy any of them.http://dx.doi.org/10.1155/S0161171289000906 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Adnan A. Hajj |
| spellingShingle |
Adnan A. Hajj A variational formalism for the eigenvalues of fourth order boundary value problems International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Adnan A. Hajj |
| author_sort |
Adnan A. Hajj |
| title |
A variational formalism for the eigenvalues of fourth order boundary value problems |
| title_short |
A variational formalism for the eigenvalues of fourth order boundary value problems |
| title_full |
A variational formalism for the eigenvalues of fourth order boundary value problems |
| title_fullStr |
A variational formalism for the eigenvalues of fourth order boundary value problems |
| title_full_unstemmed |
A variational formalism for the eigenvalues of fourth order boundary value problems |
| title_sort |
variational formalism for the eigenvalues of fourth order boundary value problems |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1989-01-01 |
| description |
This paper describes a variational approach for computing eigenvalues of a
two point boundary value problem associated with coupled second order equations to which
a fourth order linear differential equation is reduced. An attractive feature of this
approach is the technique of enforcing the boundary conditions by the variational functional.
Consequently, the expansion functions need not satisfy any of them. |
| url |
http://dx.doi.org/10.1155/S0161171289000906 |
| work_keys_str_mv |
AT adnanahajj avariationalformalismfortheeigenvaluesoffourthorderboundaryvalueproblems AT adnanahajj variationalformalismfortheeigenvaluesoffourthorderboundaryvalueproblems |
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1725576567827988480 |