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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.
 
       
         
  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

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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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