Existence and Exponential Decay of Solutions for a Wave Equation with Integral Nonlocal Boundary Conditions of Memory Type |
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| Authors: | Le Thi Phuong Ngoc Nguyen Anh Triet Alain Pham Ngoc Dinh |
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| Affiliation: | 1. Department of Natural Sciences and Technology, University of Khanh Hoa, Nha Trang, Vietnam;2. Department of Mathematics, University of Architecture of Ho Chi Minh City, Ho Chi Minh City, Vietnam;3. MAPMO, Department of Mathematics, University of Orléans, Orléeans, France |
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| Abstract: | In this paper, we consider a wave equation with integral nonlocal boundary conditions of memory type. First, we establish two local existence theorems by using Faedo–Galerkin method and standard arguments of density. Next, we give a su?cient condition to guarantee the global existence and exponential decay of weak solutions. Finally, we present numerical results. |
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| Keywords: | Exponential decay Faedo–Galerkin method global existence local existence nonlinear wave equation |
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