Stability analysis of heat flow with boundary time-varying delay effect |
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Authors: | Zai-yun Zhang Zhen-hai Liu Yue-zhong Chen |
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Institution: | a School of Mathematical Sciences and Computing Technology, Central South University, Changsha, 410075, Hunan, PR China b Department of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan, PR China c School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, 530006, Guangxi, PR China |
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Abstract: | In this paper, we investigate the stabilization of heat flow with boundary time-varying delay effect. Under some assumptions, we prove exponential stability of the solution applying variable norm technique and modified Lyapunov functional approach. |
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Keywords: | 35B35 35K05 35K20 |
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