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Global nonexistence of solution for a nonlinear Klein–Gordon equation with strong damping, distributed delay and source terms

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Abstract

In the present work, we consider a nonlinear Klein–Gordon equation with strong damping, distributed delay and source terms. Under suitable conditions, we prove the blow-up result of solutions. Our result is an extension of many other works in this area.

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Funding

The authors declares that he has not received any funding.

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Authors and Affiliations

  1. Laboratory of Pure and Applied Mathematics, Amar Telidji University, 03000, Laghouat, Algeria

    Fares Yazid, Djamel Ouchenane & Fatima Siham Djeradi

  2. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Buraydah, Saudi Arabia

    Rafik Guefaifia

Authors
  1. Fares Yazid
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  2. Djamel Ouchenane
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  3. Fatima Siham Djeradi
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  4. Rafik Guefaifia
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Contributions

FY conceptualized, investigated, analyzed and validated the research while DO, FSD and RG formulated, investigated, reviewed and supervised this research work.

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Correspondence to Fares Yazid.

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Yazid, F., Ouchenane, D., Djeradi, F.S. et al. Global nonexistence of solution for a nonlinear Klein–Gordon equation with strong damping, distributed delay and source terms. Afr. Mat. 34, 85 (2023). https://doi.org/10.1007/s13370-023-01137-6

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  • DOI: https://doi.org/10.1007/s13370-023-01137-6

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