Exponential Growth
of Solutions with $L_{p}$-Norm of a Klein-Gordon Wave Equation with Strong
Damping, Source and Delay Terms

Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Exponential Growth of Solutions with $L_{p}$-Norm of a Klein-Gordon Wave Equation with Strong Damping, Source and Delay Terms

Discontinuity, Nonlinearity, and Complexity 12(2) (2023) 265--273 | DOI:10.5890/DNC.2023.06.003

Laboratory of pure and applied mathematics, Amar Teledji University of Laghouat, Algeria

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Abstract

In this paper we are investigating to figure out the exponential growth of solutions with $L_{p}$-norm of a viscoelastic Klein-Gordon wave equation with strong damping, source and delay terms.

Acknowledgments

The authors are highly grateful to the anonymous referee for his/her valuable comments and suggestions for the improvement of the paper. This research work is supported by the General Direction of Scientific Research and Technological Development (DGRSDT), Algeria.

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