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STUDIA MATHEMATICA - Issue no. 4 / 2023 | |||||||
Article: |
DECAY RATE OF SOLUTIONS TO THE CAUCHY PROBLEM FOR A COUPLED SYSTEM OF A VISCOELASTIC WAVE EQUATIONS WITH A STRONG DELAY IN RN. Authors: AMINA CHAILI, BOCHRA BELHADJI, ABDERRAHMANE BENIANI. |
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Abstract: DOI: 10.24193/subbmath.2023.4.16 Received 19 October 2020; Accepted 10 November 2020. Published Online: 2023-12-11 Published Print: 2023-12-30 pp. 895-905 VIEW PDF FULL PDF Using weighted spaces, we establish a general decay rate properties of solutions as T→∞ for a coupled system of a viscoelastic wave equations in Rn under some conditions on g1, g2, ϕ. We exploit a density function to introduce weighted spaces for solutions and using an appropriate Lyapunov function. Mathematics Subject Classification (2010): 35L05, 35L15, 35L70, 35B40. Keywords: Lyapunov function, relaxation function, density, decay rate, weighted spaces |
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