Ibrahim, A. G.; Alkulaibi, K. S. On the existence of monotone solutions for second-order non-convex differential inclusions in infinite dimensional spaces. (English) Zbl 1062.34062 Port. Math. (N.S.) 61, No. 2, 231-248 (2004). The authors prove the existence of monotone solutions for a second-order nonconvex-valued differential inclusion \[ x''(t)\in F(x(t),x'(t)), \quad a.e \text{ on } [0,T],\quad (x(0),x'(0))=(x_0,y_0)\in K\times \Omega, \] where \(F:K\times \Omega\to {\mathcal P}(H)\) is a set-valued function, and \(K\) and \(\Omega\) are nonempty subsets of an infinite-dimensional Hilbert space \(H.\) Reviewer: Sotiris K. Ntouyas (Ioannina) Cited in 2 Documents MSC: 34G25 Evolution inclusions 34A60 Ordinary differential inclusions Keywords:differential inclusions; monotone solutions PDFBibTeX XMLCite \textit{A. G. Ibrahim} and \textit{K. S. Alkulaibi}, Port. Math. (N.S.) 61, No. 2, 231--248 (2004; Zbl 1062.34062) Full Text: EuDML