A comparison between the fourth order linear differential equation with its boundary value problem
In this paper, we study a fourth order linear differential equation. We found an upper bound for the solutions of this differential equation and also, we prove that all the solutions are in L4(0, ∞). By comparing these results we obtain that all the eigenfunction of the boundary value problem gener...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2020-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/376 |
| _version_ | 1797372657150197760 |
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| author | Karwan H.F. Jwamer Rando R. Q. Rasul |
| author_facet | Karwan H.F. Jwamer Rando R. Q. Rasul |
| author_sort | Karwan H.F. Jwamer |
| collection | DOAJ |
| description |
In this paper, we study a fourth order linear differential equation. We found an upper bound for the solutions of this differential equation and also, we prove that all the solutions are in L4(0, ∞). By comparing these results we obtain that all the eigenfunction of the boundary value problem generated by this differential equation are bounded and in L4(0, ∞).
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| first_indexed | 2024-03-08T18:39:00Z |
| format | Article |
| id | doaj.art-71189c9c9c7849ce969e9b56b0fcb7f7 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:00Z |
| publishDate | 2020-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-71189c9c9c7849ce969e9b56b0fcb7f72023-12-29T10:20:17ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112020-09-0199310.31489/2020m3/18-25A comparison between the fourth order linear differential equation with its boundary value problemKarwan H.F. JwamerRando R. Q. Rasul In this paper, we study a fourth order linear differential equation. We found an upper bound for the solutions of this differential equation and also, we prove that all the solutions are in L4(0, ∞). By comparing these results we obtain that all the eigenfunction of the boundary value problem generated by this differential equation are bounded and in L4(0, ∞). http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/376linear differential equationeigenvalueeigenfunctionupper boundlinearly independent solutionwrongskian |
| spellingShingle | Karwan H.F. Jwamer Rando R. Q. Rasul A comparison between the fourth order linear differential equation with its boundary value problem Қарағанды университетінің хабаршысы. Математика сериясы linear differential equation eigenvalue eigenfunction upper bound linearly independent solution wrongskian |
| title | A comparison between the fourth order linear differential equation with its boundary value problem |
| title_full | A comparison between the fourth order linear differential equation with its boundary value problem |
| title_fullStr | A comparison between the fourth order linear differential equation with its boundary value problem |
| title_full_unstemmed | A comparison between the fourth order linear differential equation with its boundary value problem |
| title_short | A comparison between the fourth order linear differential equation with its boundary value problem |
| title_sort | comparison between the fourth order linear differential equation with its boundary value problem |
| topic | linear differential equation eigenvalue eigenfunction upper bound linearly independent solution wrongskian |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/376 |
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