Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right Side
The existence of a solution to the mixed boundary value problem for a quasilinear equation with a lower order term and point sources on the right side was proved. The solution was obtained in an additive form, and the features associated with point sources were clearly highlighted. The approach used...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2024-07-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://uzakufismat.elpub.ru/jour/article/view/68 |
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| _version_ | 1832569180497379328 |
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| author | O. А. Zadvornov G. O. Trifonova |
| author_facet | O. А. Zadvornov G. O. Trifonova |
| author_sort | O. А. Zadvornov |
| collection | DOAJ |
| description | The existence of a solution to the mixed boundary value problem for a quasilinear equation with a lower order term and point sources on the right side was proved. The solution was obtained in an additive form, and the features associated with point sources were clearly highlighted. The approach used in the proof can serve as a basis for a method of solving this type of problem. |
| format | Article |
| id | doaj-art-35aac150ab2341d3add130a7620b912a |
| institution | Kabale University |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-35aac150ab2341d3add130a7620b912a2025-02-02T23:06:08ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982024-07-01166217318610.26907/2541-7746.2024.2.173-18642Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right SideO. А. Zadvornov0G. O. Trifonova1Kazan Federal UniversityKazan Federal UniversityThe existence of a solution to the mixed boundary value problem for a quasilinear equation with a lower order term and point sources on the right side was proved. The solution was obtained in an additive form, and the features associated with point sources were clearly highlighted. The approach used in the proof can serve as a basis for a method of solving this type of problem.https://uzakufismat.elpub.ru/jour/article/view/68nonlinear boundary value problempoint sourceadditive extraction |
| spellingShingle | O. А. Zadvornov G. O. Trifonova Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right Side Учёные записки Казанского университета: Серия Физико-математические науки nonlinear boundary value problem point source additive extraction |
| title | Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right Side |
| title_full | Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right Side |
| title_fullStr | Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right Side |
| title_full_unstemmed | Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right Side |
| title_short | Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right Side |
| title_sort | mixed boundary value problem for a monotone equation with a lower order term and point sources on the right side |
| topic | nonlinear boundary value problem point source additive extraction |
| url | https://uzakufismat.elpub.ru/jour/article/view/68 |
| work_keys_str_mv | AT oazadvornov mixedboundaryvalueproblemforamonotoneequationwithalowerordertermandpointsourcesontherightside AT gotrifonova mixedboundaryvalueproblemforamonotoneequationwithalowerordertermandpointsourcesontherightside |