Existence of solutions for a class of nonlinear impulsive wave equations. (English) Zbl 07545271
Summary: 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.
MSC:
| 47H10 | Fixed-point theorems |
| 58J20 | Index theory and related fixed-point theorems on manifolds |
| 35L15 | Initial value problems for second-order hyperbolic equations |
References:
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