General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions
Abstract In this paper, we consider the general decay of solutions for the weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions. By using suitable energy and Lyapunov functionals, we prove the general decay for the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-022-01633-x |
| _version_ | 1811222445146767360 |
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| author | Min Yoon Mi Jin Lee Jum-Ran Kang |
| author_facet | Min Yoon Mi Jin Lee Jum-Ran Kang |
| author_sort | Min Yoon |
| collection | DOAJ |
| description | Abstract In this paper, we consider the general decay of solutions for the weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions. By using suitable energy and Lyapunov functionals, we prove the general decay for the energy, which depends on the behavior of both σ and k. |
| first_indexed | 2024-04-12T08:15:57Z |
| format | Article |
| id | doaj.art-c324b707e20f4c92a6394ef26101a3ba |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-12T08:15:57Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-c324b707e20f4c92a6394ef26101a3ba2022-12-22T03:40:48ZengSpringerOpenBoundary Value Problems1687-27702022-07-012022111610.1186/s13661-022-01633-xGeneral decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditionsMin Yoon0Mi Jin Lee1Jum-Ran Kang2Department of Applied Mathematics, Pukyong National UniversityDepartment of Mathematics, Pusan National UniversityDepartment of Applied Mathematics, Pukyong National UniversityAbstract In this paper, we consider the general decay of solutions for the weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions. By using suitable energy and Lyapunov functionals, we prove the general decay for the energy, which depends on the behavior of both σ and k.https://doi.org/10.1186/s13661-022-01633-xWeak viscoelastic equationBalakrishnan–Taylor dampingAcoustic boundary conditionsNonlinear delayGeneral decay rate |
| spellingShingle | Min Yoon Mi Jin Lee Jum-Ran Kang General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions Boundary Value Problems Weak viscoelastic equation Balakrishnan–Taylor damping Acoustic boundary conditions Nonlinear delay General decay rate |
| title | General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions |
| title_full | General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions |
| title_fullStr | General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions |
| title_full_unstemmed | General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions |
| title_short | General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions |
| title_sort | general decay for weak viscoelastic equation of kirchhoff type containing balakrishnan taylor damping with nonlinear delay and acoustic boundary conditions |
| topic | Weak viscoelastic equation Balakrishnan–Taylor damping Acoustic boundary conditions Nonlinear delay General decay rate |
| url | https://doi.org/10.1186/s13661-022-01633-x |
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