Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type
The nonlocal boundary value problems for the nonlinear integro-differential Barbashin equation with a partial derivative of the second order is studied. The solution of the problem is understood in the classical sense. The problem reduces to the equivalent Volterra integral equation with partial int...
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| Language: | English |
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EJAAM
2023-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2023/10.62780-ejaam-2023-003.pdf |
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| author | Nurmuhammet Gurbanmammedov Parahat Gurbanmammedov Ogulhan Haydarova |
| author_facet | Nurmuhammet Gurbanmammedov Parahat Gurbanmammedov Ogulhan Haydarova |
| author_sort | Nurmuhammet Gurbanmammedov |
| collection | DOAJ |
| description | The nonlocal boundary value problems for the nonlinear integro-differential Barbashin equation with a partial derivative of the second order is studied. The solution of the problem is understood in the classical sense. The problem reduces to the equivalent Volterra integral equation with partial integrals. The conditions for the existence and uniqueness of the solution of this equation are obtained. |
| format | Article |
| id | doaj-art-6fe03a9833744031814f0d65aecf78c8 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-6fe03a9833744031814f0d65aecf78c82025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902023-12-01202310.62780/ejaam/2023-003Properties of the solution of some multipoint problems for integro-differential equation of Barbashin typeNurmuhammet Gurbanmammedov0Parahat Gurbanmammedov1Ogulhan Haydarova2Magtymguly Turkmen State University, Ashgabat, TurkmenistanGreat Saparmurat Turkmenbashy Military Institute, Ashgabat, TurkmenistanYagsgygeldi Kakayev International Oil and Gas University, Ashgabat, TurkmenistanThe nonlocal boundary value problems for the nonlinear integro-differential Barbashin equation with a partial derivative of the second order is studied. The solution of the problem is understood in the classical sense. The problem reduces to the equivalent Volterra integral equation with partial integrals. The conditions for the existence and uniqueness of the solution of this equation are obtained.https://ejaam.org/articles/2023/10.62780-ejaam-2023-003.pdfnonlinear integro-differential barbashin equationnonlocal boundary value problemexistence and uniquenessvolterra integral equation with partial integralsclassical solution |
| spellingShingle | Nurmuhammet Gurbanmammedov Parahat Gurbanmammedov Ogulhan Haydarova Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type E-Journal of Analysis and Applied Mathematics nonlinear integro-differential barbashin equation nonlocal boundary value problem existence and uniqueness volterra integral equation with partial integrals classical solution |
| title | Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type |
| title_full | Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type |
| title_fullStr | Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type |
| title_full_unstemmed | Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type |
| title_short | Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type |
| title_sort | properties of the solution of some multipoint problems for integro differential equation of barbashin type |
| topic | nonlinear integro-differential barbashin equation nonlocal boundary value problem existence and uniqueness volterra integral equation with partial integrals classical solution |
| url | https://ejaam.org/articles/2023/10.62780-ejaam-2023-003.pdf |
| work_keys_str_mv | AT nurmuhammetgurbanmammedov propertiesofthesolutionofsomemultipointproblemsforintegrodifferentialequationofbarbashintype AT parahatgurbanmammedov propertiesofthesolutionofsomemultipointproblemsforintegrodifferentialequationofbarbashintype AT ogulhanhaydarova propertiesofthesolutionofsomemultipointproblemsforintegrodifferentialequationofbarbashintype |