In this work, we study a hyperbolic problem with polynomial nonlinearity and a homogeneous Neumann condition.

hyperbolic problem, homogeneous Neumann condition.

Received: January 2, 2023; Accepted: February 11, 2023; Published: May 6, 2023

How to cite this article: Challoum Dyaus Elohe Mouanda and Dieudonne Ampini, Existence and uniqueness of the solution of a hyperbolic problem with polynomial nonlinearity, Far East Journal of Dynamical Systems 36(1) (2023), 29-75. http://dx.doi.org/10.17654/0972111823002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] AMPINI Dieudonné, Necessary conditions of optimality for non linear hyperbolic problem, Annales de l’université de l’Amitié des Peuples de Moscou, Vestnik, Série, Mathématiques 9(1) (2002), 29-55.
[2] J. L. Lions, Some methods for solving non-linear boundary problems, Dunod, 2002 (reprint of the 1969 text).