The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor
We prove the eigenfunction expansion formula for a Dirichlet problem with explosive factor by two ways, first by standard method and second by proving a convergence in some metric space 𝐿2(0,𝜋;𝜌(𝑥)).
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/828176 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566551192010752 |
|---|---|
| author | Zaki F. A. El-Raheem A. H. Nasser |
| author_facet | Zaki F. A. El-Raheem A. H. Nasser |
| author_sort | Zaki F. A. El-Raheem |
| collection | DOAJ |
| description | We prove the eigenfunction expansion formula for a Dirichlet problem with explosive factor by two ways, first by standard method and second by proving a convergence in some metric space 𝐿2(0,𝜋;𝜌(𝑥)). |
| format | Article |
| id | doaj-art-89dce5d6ca684e56ab871cbfe4dab429 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-89dce5d6ca684e56ab871cbfe4dab4292025-02-03T01:03:46ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/828176828176The Eigenfunction Expansion for a Dirichlet Problem with Explosive FactorZaki F. A. El-Raheem0A. H. Nasser1Department of Mathematics, Faculty of Education, Alexandria University, Alexanderia 21526, EgyptDepartment of Mathematics, Faculty of Industrial Education, Helwan University, Cairo, EgyptWe prove the eigenfunction expansion formula for a Dirichlet problem with explosive factor by two ways, first by standard method and second by proving a convergence in some metric space 𝐿2(0,𝜋;𝜌(𝑥)).http://dx.doi.org/10.1155/2011/828176 |
| spellingShingle | Zaki F. A. El-Raheem A. H. Nasser The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor Abstract and Applied Analysis |
| title | The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor |
| title_full | The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor |
| title_fullStr | The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor |
| title_full_unstemmed | The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor |
| title_short | The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor |
| title_sort | eigenfunction expansion for a dirichlet problem with explosive factor |
| url | http://dx.doi.org/10.1155/2011/828176 |
| work_keys_str_mv | AT zakifaelraheem theeigenfunctionexpansionforadirichletproblemwithexplosivefactor AT ahnasser theeigenfunctionexpansionforadirichletproblemwithexplosivefactor AT zakifaelraheem eigenfunctionexpansionforadirichletproblemwithexplosivefactor AT ahnasser eigenfunctionexpansionforadirichletproblemwithexplosivefactor |