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General decay of the solution to a nonlinear viscoelastic beam with delay

Author

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  • Ammar Khemmoudj

    (University of Science and Technology Houari Boumediene)

Abstract

In this paper we consider a nonlinear viscoelastic beam with a linear delay term and infinite memory term. The well posedness of solutions is proved using the semigroup method. We establish a general decay results by using minimal and general conditions on the relaxation function, from which the usual exponential and polynomial decay rates are only special cases.

Suggested Citation

  • Ammar Khemmoudj, 2023. "General decay of the solution to a nonlinear viscoelastic beam with delay," Partial Differential Equations and Applications, Springer, vol. 4(3), pages 1-25, June.
    • Handle: RePEc:spr:pardea:v:4:y:2023:i:3:d:10.1007_s42985-023-00238-y
    DOI: 10.1007/s42985-023-00238-y
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