Regularization of an inverse-nonlocal problem with a hyperbolic operator, degenerating into a nonclassical one Volterra equation of the first kind

Inverse problems are found in many branches of science, for example, mathematical physics, biology, etc. An important place among these problems is occupied by inverse problems that have degenerated into integral equations of the first and third kind, since in these cases methods that are associated with the regularization of algorithms in the input spaces are mainly used to solve these problems, which is the relevance of this article. This regard, this paper studies the inverse problem for a nonlinear differential equation with the d'Alembert operator in an unbounded region where the Volterra-Fredholm equation of the first kind degenerates, while proving the issues of the uniqueness of the solution and regularizability of the problem under study in Banach space.