General decay for a viscoelastic wave equation with strong time-dependent delay
Abstract A viscoelastic wave equation with strong damping and strong time-dependent delay in the internal feedback is considered. Under the assumption | μ 2 | < 1 − d μ 1 $|\mu_{2}|<\sqrt{1-d}\mu_{1}$ , we establish the general decay of energy of the problem by using the energy perturbation me...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0789-6 |
| _version_ | 1818447013517197312 |
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| author | Baowei Feng |
| author_facet | Baowei Feng |
| author_sort | Baowei Feng |
| collection | DOAJ |
| description | Abstract A viscoelastic wave equation with strong damping and strong time-dependent delay in the internal feedback is considered. Under the assumption | μ 2 | < 1 − d μ 1 $|\mu_{2}|<\sqrt{1-d}\mu_{1}$ , we establish the general decay of energy of the problem by using the energy perturbation method. |
| first_indexed | 2024-12-14T19:56:52Z |
| format | Article |
| id | doaj.art-3ee19a8d5d6e410589acc07679ad70d5 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-14T19:56:52Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-3ee19a8d5d6e410589acc07679ad70d52022-12-21T22:49:16ZengSpringerOpenBoundary Value Problems1687-27702017-04-012017111110.1186/s13661-017-0789-6General decay for a viscoelastic wave equation with strong time-dependent delayBaowei Feng0Department of Economic Mathematics, Southwestern University of Finance and EconomicsAbstract A viscoelastic wave equation with strong damping and strong time-dependent delay in the internal feedback is considered. Under the assumption | μ 2 | < 1 − d μ 1 $|\mu_{2}|<\sqrt{1-d}\mu_{1}$ , we establish the general decay of energy of the problem by using the energy perturbation method.http://link.springer.com/article/10.1186/s13661-017-0789-6general decaywave equationmemorydelay feedbacks |
| spellingShingle | Baowei Feng General decay for a viscoelastic wave equation with strong time-dependent delay Boundary Value Problems general decay wave equation memory delay feedbacks |
| title | General decay for a viscoelastic wave equation with strong time-dependent delay |
| title_full | General decay for a viscoelastic wave equation with strong time-dependent delay |
| title_fullStr | General decay for a viscoelastic wave equation with strong time-dependent delay |
| title_full_unstemmed | General decay for a viscoelastic wave equation with strong time-dependent delay |
| title_short | General decay for a viscoelastic wave equation with strong time-dependent delay |
| title_sort | general decay for a viscoelastic wave equation with strong time dependent delay |
| topic | general decay wave equation memory delay feedbacks |
| url | http://link.springer.com/article/10.1186/s13661-017-0789-6 |
| work_keys_str_mv | AT baoweifeng generaldecayforaviscoelasticwaveequationwithstrongtimedependentdelay |