Author:
Daniel Cortés Z.,Alexander Gutierrez G.
Abstract
AbstractWe use perturbation methods to establish the existence of a second kind periodic solution (running solution) of a nonlinear Tricomi’s equation type under relativistic effects. First, we estimate conditions for the existence of either an equilibrium point or a second-kind periodic solution through the average method, where we assumed the nonlinear part as a positive perturbation. Then, we use the Melnikov function to estimate conditions for the existence of running solutions, considering the persistence of the homoclinic orbits associated with the conservative equation.
Funder
Technological University of Pereira
Publisher
Springer Science and Business Media LLC
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