Adomian decomposition method for nonlinear Sturm-Liouville problems
In this paper the Adomian decomposition method is applied to the nonlinear Sturm-Liouville problem<BR>-y" + y(t)<sup>p</sup>=λy(t), y(t) > 0, t ∈ I = (0, 1), y(0) = y(1) = 0, <BR>where p > 1 is a constant and λ > 0 is an eigenvalue parameter. Also, the eigenvalu...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2007-09-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v02/p02.pdf |
| _version_ | 1831729072093265920 |
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| author | Sennur Somali Guzin Gokmen |
| author_facet | Sennur Somali Guzin Gokmen |
| author_sort | Sennur Somali |
| collection | DOAJ |
| description | In this paper the Adomian decomposition method is applied to the nonlinear Sturm-Liouville problem<BR>-y" + y(t)<sup>p</sup>=λy(t), y(t) > 0, t ∈ I = (0, 1), y(0) = y(1) = 0, <BR>where p > 1 is a constant and λ > 0 is an eigenvalue parameter. Also, the eigenvalues and the behavior of eigenfuctions of the problem are demonstrated. |
| first_indexed | 2024-12-21T07:03:02Z |
| format | Article |
| id | doaj.art-127bed24e65a41998d525926946101df |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-12-21T07:03:02Z |
| publishDate | 2007-09-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-127bed24e65a41998d525926946101df2022-12-21T19:12:11ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982007-09-012 (2007)1120Adomian decomposition method for nonlinear Sturm-Liouville problemsSennur SomaliGuzin GokmenIn this paper the Adomian decomposition method is applied to the nonlinear Sturm-Liouville problem<BR>-y" + y(t)<sup>p</sup>=λy(t), y(t) > 0, t ∈ I = (0, 1), y(0) = y(1) = 0, <BR>where p > 1 is a constant and λ > 0 is an eigenvalue parameter. Also, the eigenvalues and the behavior of eigenfuctions of the problem are demonstrated.http://www.utgjiu.ro/math/sma/v02/p02.pdfAdomian decomposition methodNonlinear Sturm-Liouville problem |
| spellingShingle | Sennur Somali Guzin Gokmen Adomian decomposition method for nonlinear Sturm-Liouville problems Surveys in Mathematics and its Applications Adomian decomposition method Nonlinear Sturm-Liouville problem |
| title | Adomian decomposition method for nonlinear Sturm-Liouville problems |
| title_full | Adomian decomposition method for nonlinear Sturm-Liouville problems |
| title_fullStr | Adomian decomposition method for nonlinear Sturm-Liouville problems |
| title_full_unstemmed | Adomian decomposition method for nonlinear Sturm-Liouville problems |
| title_short | Adomian decomposition method for nonlinear Sturm-Liouville problems |
| title_sort | adomian decomposition method for nonlinear sturm liouville problems |
| topic | Adomian decomposition method Nonlinear Sturm-Liouville problem |
| url | http://www.utgjiu.ro/math/sma/v02/p02.pdf |
| work_keys_str_mv | AT sennursomali adomiandecompositionmethodfornonlinearsturmliouvilleproblems AT guzingokmen adomiandecompositionmethodfornonlinearsturmliouvilleproblems |