Almost Periodic Solutions in Control Systems with Monotone Nonlinearities
نویسندگان
چکیده
We investigate control systems as variational equations in non-standard chains of rigged Hilbert spaces. Monotonicity properties of nonlinearities are introduced with respect to such riggings generated by Lyapunov operators and invariant cones. Sufficient frequency domain conditions for boundedness and the existence of Bohr and Stepanov almost periodic solutions are derived. As an example we consider equations with Duffing-type nonlinearities and almost periodic forcing terms.
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