Pseudo almost automorphic solutions for some nonlinear differential equations: Liénard equations and Hamiltonian systems.
Résumé
We give sufficient conditions ensuring the existence and uniqueness of a pseudo almost automorphic solution of the following differential equation: $x′ = f(t,x)$ in a Hilbert space H , where $f : IR × H −→ H$ is pseudo almost automorphic with respect to the first argument. Then we apply our main result to a Liénard equation and to a Hamiltonian system.
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