Toka Diagana, Mamadou Moustapha Mbaye
In this article we first establish a new representation formula for bounded solutions to a class of nonlinear second-order hyperbolic partial differential equations. Next, we use of our newly-established representation formula to establish the existence of bounded solutions to these nonlinear partial differential equations.
Submitted July 4, 2015. Published September 21, 2015.
Math Subject Classifications: 43A60, 34B05, 34C27, 42A75, 47D06, 35L90.
Key Words: Hyperbolic partial differential equations; bounded solutions; almost automorphic; pseudo-almost automorphic.
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| Toka Diagana |
Department of Mathematics, Howard University
2441 6th Street N.W., Washington, DC 20059, USA
| Mamadou Moustapha Mbaye |
Université Gaston Berger de Saint-Louis
UFR SAT, Département de Mathématiques, B.P. 234
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