Mesloub, SaidBachar, Imed2022-08-192022-08-192017-11-08Mesloub, S., & Bachar, I. (2017). Nonlinear singular hyperbolic initial boundary value problems. Electronic Journal of Differential Equations, 2017(277), pp. 1-11.1072-6691https://hdl.handle.net/10877/16078In this article, we aim to prove the well posedness of a one point initial boundary value problem for a nonlinear hyperbolic singular integro-differential partial differential equation. Our proofs are mainly based on a fixed point theorem and some a priori bounds. The solvability of the problem is proved when the given data are related to a weighted Sobolev space. An additional result may allow us to study the regularity of the solution.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalFixed point theoremA priori boundExistence and uniquenessIntegro-differential equationArticle