Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term
This article deals with the study of the higher-order Kirchhoff-type equation with delay term in a bounded domain with initial boundary conditions, where firstly, we prove the global existence result of the solution. Then, we discuss the decay of solutions by using Nakao’s technique and denote polyn...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4414545 |
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| _version_ | 1832546042447396864 |
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| author | Hazal Yüksekkaya Erhan Pişkin Salah Mahmoud Boulaaras Bahri Belkacem Cherif |
| author_facet | Hazal Yüksekkaya Erhan Pişkin Salah Mahmoud Boulaaras Bahri Belkacem Cherif |
| author_sort | Hazal Yüksekkaya |
| collection | DOAJ |
| description | This article deals with the study of the higher-order Kirchhoff-type equation with delay term in a bounded domain with initial boundary conditions, where firstly, we prove the global existence result of the solution. Then, we discuss the decay of solutions by using Nakao’s technique and denote polynomially and exponentially. Furthermore, the blow-up result is established for negative initial energy under appropriate conditions. |
| format | Article |
| id | doaj-art-1c5bcbe410c6451e8fde29881f6e8b8d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1c5bcbe410c6451e8fde29881f6e8b8d2025-02-03T07:23:54ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/44145454414545Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay TermHazal Yüksekkaya0Erhan Pişkin1Salah Mahmoud Boulaaras2Bahri Belkacem Cherif3Department of Mathematics, Dicle University, Diyarbakir, TurkeyDepartment of Mathematics, Dicle University, Diyarbakir, TurkeyDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi ArabiaThis article deals with the study of the higher-order Kirchhoff-type equation with delay term in a bounded domain with initial boundary conditions, where firstly, we prove the global existence result of the solution. Then, we discuss the decay of solutions by using Nakao’s technique and denote polynomially and exponentially. Furthermore, the blow-up result is established for negative initial energy under appropriate conditions.http://dx.doi.org/10.1155/2021/4414545 |
| spellingShingle | Hazal Yüksekkaya Erhan Pişkin Salah Mahmoud Boulaaras Bahri Belkacem Cherif Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term Journal of Function Spaces |
| title | Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term |
| title_full | Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term |
| title_fullStr | Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term |
| title_full_unstemmed | Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term |
| title_short | Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term |
| title_sort | existence decay and blow up of solutions for a higher order kirchhoff type equation with delay term |
| url | http://dx.doi.org/10.1155/2021/4414545 |
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