On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line
In this work, the existence of at least one solution for the following third-order integral and m-point boundary value problem on the half-line at resonance ρtu′t″=wt,ut,u′t,u″t,t∈0,∞,u0=∑j=1m αj∫0ηj utdt,u′0=0,limt⟶∞ρtu′t′=0, will be investigated. The Mawhin’s coincidence degree theory will be used...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/8870108 |
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| _version_ | 1832561504437665792 |
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| author | O. F. Imaga J. G. Oghonyon P. O. Ogunniyi |
| author_facet | O. F. Imaga J. G. Oghonyon P. O. Ogunniyi |
| author_sort | O. F. Imaga |
| collection | DOAJ |
| description | In this work, the existence of at least one solution for the following third-order integral and m-point boundary value problem on the half-line at resonance ρtu′t″=wt,ut,u′t,u″t,t∈0,∞,u0=∑j=1m αj∫0ηj utdt,u′0=0,limt⟶∞ρtu′t′=0, will be investigated. The Mawhin’s coincidence degree theory will be used to obtain existence results while an example will be used to validate the result obatined. |
| format | Article |
| id | doaj-art-76dd3b7948584549a5e2ea754e885625 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-76dd3b7948584549a5e2ea754e8856252025-02-03T01:24:54ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/88701088870108On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-LineO. F. Imaga0J. G. Oghonyon1P. O. Ogunniyi2Department of Mathematics, Covenant University, Ota, Ogun State, NigeriaDepartment of Mathematics, Covenant University, Ota, Ogun State, NigeriaDepartment of Mathematics, Covenant University, Ota, Ogun State, NigeriaIn this work, the existence of at least one solution for the following third-order integral and m-point boundary value problem on the half-line at resonance ρtu′t″=wt,ut,u′t,u″t,t∈0,∞,u0=∑j=1m αj∫0ηj utdt,u′0=0,limt⟶∞ρtu′t′=0, will be investigated. The Mawhin’s coincidence degree theory will be used to obtain existence results while an example will be used to validate the result obatined.http://dx.doi.org/10.1155/2021/8870108 |
| spellingShingle | O. F. Imaga J. G. Oghonyon P. O. Ogunniyi On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line Abstract and Applied Analysis |
| title | On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line |
| title_full | On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line |
| title_fullStr | On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line |
| title_full_unstemmed | On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line |
| title_short | On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line |
| title_sort | on the solvability of a resonant third order integral m point boundary value problem on the half line |
| url | http://dx.doi.org/10.1155/2021/8870108 |
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