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Projected dynamical systems on Hilbert spaces. (English) Zbl 1286.34089

Summary: We present some simple solvability results applicable to the study of the theory of projected dynamical systems. In particular, we study the existence of solutions to a variational inequality using the existence of critical points of a projected dynamical system on a Hilbert space, as well as some results about the existence of periodic orbits for the above projected dynamical systems are also presented.

MSC:

34G25 Evolution inclusions
34A60 Ordinary differential inclusions
34C25 Periodic solutions to ordinary differential equations
47H10 Fixed-point theorems
47J22 Variational and other types of inclusions
47J20 Variational and other types of inequalities involving nonlinear operators (general)
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