A MIXED PROBLEM FOR SYSTEMS OF SEMILINEAR HYPERBOLIC EQUATIONS WITH NONLINEAR DISSIPATION AND NONLINEAR SOURCE

Author:

Rustamova Samira O. kizi1

Affiliation:

1. Institute of Mathematics and Mechanics of NAN Azerbaijan

Publisher

Moscow Regional State University

Reference14 articles.

1. Алиев А.Б., Казимов А.А. Глобальные слабые решения задачи Коши для полулинейных псевдо гиперболических уравненийImage10858.tif // Дифференциальные уравнения.Т. 45. 2009. № 2. C. 169-179.

2. Agre K., Rammaha M.A. Systems of nonlinear wave equations with damping and source terms // Differential Integral Equations. Vol. 19. 2006. No. 11. Pp. 1235-1270.

3. Aliev A.B., Rustamova S.O. Global existence, asymptotic behavior and blow-up of solutions for mixed problem for the coupled wave equations with nonlinear damping and source terms // Proceedings of the Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan Vol. 42. 2016. No. 2. P. 188-201.

4. Ang D.D., Dinh A.P. Strong solutions of a quasilinear wave equation with nonlinear damping // SIAM Journal on Mathematical Analysis. Vol. 19. 1988. No. 2. P. 337-347.

5. Georgiev V., Todorova G. Existence of a solution of the wave equation with nonlinear damping and source term // J. Differential Equations. Vol. 109. 1994. No. 2. P. 295-308.

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