Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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EXISTENCE AND UNIQUENESS OF THE SOLUTION OF A NONLINEAR HYPERBOLIC PROBLEM WITH A CONTINUOUS POTENTIAL IN MEAN SQUARE

http://dx.doi.org/10.17654/0972096023007

Authors

  • Arno Chadel Mankessi
  • Dieudonné Ampini

Keywords:

existence, uniqueness, nonlinear hyperbolic equation

Abstract

In this paper, we show the existence and uniqueness of the solution of a nonlinear hyperbolic problem with homogeneous Neumann conditions and a continuous potential in mean square.

Received: January 13, 2023; Accepted: March 17, 2023; Published: April 15, 2023

References

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.

J. L. lions, Résolutions de quelques problèmes aux limites non linéaires, Dunod, 1969.

Haim BREZIS, Analyse fonctionnelle: théorie et application, Masson, Paris, New York, Barcelona, Milan, Mexico, Sao Paulo, 1987.

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Published

2023-04-15

Issue

Vol. 116 No. 2 (2023)

Section

Articles

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Copyright (c) 2023 Far East Journal of Applied Mathematics

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How to Cite

EXISTENCE AND UNIQUENESS OF THE SOLUTION OF A NONLINEAR HYPERBOLIC PROBLEM WITH A CONTINUOUS POTENTIAL IN MEAN SQUARE: http://dx.doi.org/10.17654/0972096023007. (2023). Far East Journal of Applied Mathematics, 116(2), 99-132. https://pphmjopenaccess.com/fejam/article/view/122

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