Toka Diagana, Mamadou Moustapha Mbaye
Abstract:
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 email: tdiagana@howard.edu |
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Mamadou Moustapha Mbaye Université Gaston Berger de Saint-Louis UFR SAT, Département de Mathématiques, B.P. 234 Saint-Louis, Sénégal email: tafffmbaye@yahoo.fr |
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