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STUDIA MATHEMATICA - Issue no. 2 / 2023 | |||||||
Article: |
EXPONENTIAL GROWTH OF SOLUTIONS WITH LP-NORM OF A NONLINEAR VISCOELASTIC WAVE EQUATION WITH STRONG DAMPING AND SOURCE AND DELAY TERMS. Authors: ABDELBAKI CHOUCHA, DJAMEL OUCHENANE. |
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Abstract: DOI: 10.24193/subbmath.2023.2.12 Received 18 May 2020; Accepted 06 July 2020. Published Online: 2023-06-14 Published Print: 2023-07-30 pp. 375-385 VIEW PDF FULL PDF In this work, we are concerned with a problem for a viscoelastic wave equation with strong damping, nonlinear source and delay terms. We show the exponential growth of solutions with Lp-norm. Mathematics Subject Classification (2010): 35L05, 35L20, 58G16, 93D20. Keywords: Strong damping, viscoelasticity, nonlinear source, exponential growth, delay. |
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