García-Falset, Jesús; Muñíz-Pérez, Omar Projected dynamical systems on Hilbert spaces. (English) Zbl 1286.34089 J. Nonlinear Convex Anal. 15, No. 2, 325-344 (2014). 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. Cited in 4 Documents 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) Keywords:variational inequalities; monotone operator; Cauchy problem; fixed point; strong solution; projected dynamical systems PDFBibTeX XMLCite \textit{J. García-Falset} and \textit{O. Muñíz-Pérez}, J. Nonlinear Convex Anal. 15, No. 2, 325--344 (2014; Zbl 1286.34089) Full Text: Link