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September  2006, 6(5): 1113-1119. doi: 10.3934/dcdsb.2006.6.1113

Existence of solutions for a class of edge wave equations

David Henry 1, and  Octavian G. Mustafa 2,

1. 

School of Mathematics, Trinity College, Dublin 2, Ireland
2. 

Department of Mathematics, University of Craiov, Al. I Cuza 13, Craiova, Romania

Received  October 2005 Revised  March 2006 Published  June 2006

Analyzing the asymptotic properties of solutions to a class of second-order differential equations, we give criteria for the existence of edge waves for variable seabed profiles in the presence of longshore currents.
Keywords: Fixed point theory., Edge wave, Linear differential equation.
Mathematics Subject Classification: Primary: 76B15; Secondary: 76M45, 34E05, 46N2.
Citation: David Henry, Octavian G. Mustafa. Existence of solutions for a class of edge wave equations. Discrete & Continuous Dynamical Systems - B, 2006, 6 (5) : 1113-1119. doi: 10.3934/dcdsb.2006.6.1113
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