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Existence of solutions for a class of nonlinear impulsive wave equations

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In this paper we investigate a class of impulsive wave equations. We prove existence of classical solutions for the considered class of equations. A new topological approach is applied to prove the existence of solutions. The arguments are based upon of a recent theoretical result. To the best of our knowledge, there is hardly any work dealing with such impulsive wave. The reason may be the complex arguments caused by impulsive perturbations.

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Correspondence to Khaled Zennir.

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Georgiev, S.G., Zennir, K. Existence of solutions for a class of nonlinear impulsive wave equations. Ricerche mat 71, 211–225 (2022). https://doi.org/10.1007/s11587-021-00649-2

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  • DOI: https://doi.org/10.1007/s11587-021-00649-2

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