Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term
This paper is concerned with the blow-up time of the solutions to an integro-differential problem of parabolic type with variable growth if blow-up occurs. By using the differential inequality technique, we obtain lower bounds for the blow-up time and some global existence results under some conditi...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-11-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.233/ |
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| author | Ayazoglu, Rabil Akkoyunlu, Ebubekir |
| author_facet | Ayazoglu, Rabil Akkoyunlu, Ebubekir |
| author_sort | Ayazoglu, Rabil |
| collection | DOAJ |
| description | This paper is concerned with the blow-up time of the solutions to an integro-differential problem of parabolic type with variable growth if blow-up occurs. By using the differential inequality technique, we obtain lower bounds for the blow-up time and some global existence results under some conditions to variable exponent of reaction, memory kernel, and initial value. |
| format | Article |
| id | doaj-art-395395748a164f2f808462a85d7043f5 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-395395748a164f2f808462a85d7043f52025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-11-01351G239140010.5802/crmeca.23310.5802/crmeca.233Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction termAyazoglu, Rabil0https://orcid.org/0000-0003-4493-2937Akkoyunlu, Ebubekir1https://orcid.org/0000-0003-2989-4151Faculty of Education, Bayburt University, Bayburt, Turkey; Institute of Mathematics and Mechanics of ANAS, Baku, AzerbaijanFaculty of Education, Bayburt University, Bayburt, TurkeyThis paper is concerned with the blow-up time of the solutions to an integro-differential problem of parabolic type with variable growth if blow-up occurs. By using the differential inequality technique, we obtain lower bounds for the blow-up time and some global existence results under some conditions to variable exponent of reaction, memory kernel, and initial value.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.233/Integro-differential problemParabolicVariable reactionGlobal existenceBlow-upLower bounds |
| spellingShingle | Ayazoglu, Rabil Akkoyunlu, Ebubekir Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term Comptes Rendus. Mécanique Integro-differential problem Parabolic Variable reaction Global existence Blow-up Lower bounds |
| title | Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term |
| title_full | Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term |
| title_fullStr | Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term |
| title_full_unstemmed | Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term |
| title_short | Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term |
| title_sort | bounds for the blow up time a class of integro differential problem of parabolic type with variable reaction term |
| topic | Integro-differential problem Parabolic Variable reaction Global existence Blow-up Lower bounds |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.233/ |
| work_keys_str_mv | AT ayazoglurabil boundsfortheblowuptimeaclassofintegrodifferentialproblemofparabolictypewithvariablereactionterm AT akkoyunluebubekir boundsfortheblowuptimeaclassofintegrodifferentialproblemofparabolictypewithvariablereactionterm |