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In this paper we present sufficient conditions for the existence of heteroclinic or homoclinic solutions for second order coupled systems of differential equations on the real line. We point out… Click to show full abstract
In this paper we present sufficient conditions for the existence of heteroclinic or homoclinic solutions for second order coupled systems of differential equations on the real line. We point out that it is required only conditions on the homeomorphisms and no growth or asymptotic conditions are assumed on the nonlinearities. The arguments make use of the fixed point theory, L^1-Caratheodory functions and Schauder's fixed point theorem. An application to a family of second order nonlinear coupled systems of two degrees of freedom, shows the applicability of the main theorem.
Journal Title: Computational and Applied Mathematics
Year Published: 2021
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