Existence of multiple solutions for Sturm-Liouville boundary value problems
In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the ap...
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2022-12-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-3076-en.html |
| _version_ | 1797871674758004736 |
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| author | Hadi Haghshenas Ghasem alizadeh Afrouzi |
| author_facet | Hadi Haghshenas Ghasem alizadeh Afrouzi |
| author_sort | Hadi Haghshenas |
| collection | DOAJ |
| description | In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results. |
| first_indexed | 2024-04-10T00:46:27Z |
| format | Article |
| id | doaj.art-bfbda219895742a9b0378c01a1e364e8 |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:46:27Z |
| publishDate | 2022-12-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-bfbda219895742a9b0378c01a1e364e82023-03-13T19:26:42ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542022-12-01846373Existence of multiple solutions for Sturm-Liouville boundary value problemsHadi Haghshenas0Ghasem alizadeh Afrouzi1 University of Mazandaran University of Mazandaran In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.http://mmr.khu.ac.ir/article-1-3076-en.htmlsturm-liouville boundary value problemsvariational methodscritical point theoryinfinitely many solutions. |
| spellingShingle | Hadi Haghshenas Ghasem alizadeh Afrouzi Existence of multiple solutions for Sturm-Liouville boundary value problems پژوهشهای ریاضی sturm-liouville boundary value problems variational methods critical point theory infinitely many solutions. |
| title | Existence of multiple solutions for Sturm-Liouville boundary value problems |
| title_full | Existence of multiple solutions for Sturm-Liouville boundary value problems |
| title_fullStr | Existence of multiple solutions for Sturm-Liouville boundary value problems |
| title_full_unstemmed | Existence of multiple solutions for Sturm-Liouville boundary value problems |
| title_short | Existence of multiple solutions for Sturm-Liouville boundary value problems |
| title_sort | existence of multiple solutions for sturm liouville boundary value problems |
| topic | sturm-liouville boundary value problems variational methods critical point theory infinitely many solutions. |
| url | http://mmr.khu.ac.ir/article-1-3076-en.html |
| work_keys_str_mv | AT hadihaghshenas existenceofmultiplesolutionsforsturmliouvilleboundaryvalueproblems AT ghasemalizadehafrouzi existenceofmultiplesolutionsforsturmliouvilleboundaryvalueproblems |