Cernea, Aurelian On the solution set of a nonconvex nonclosed second order differential inclusion. (English) Zbl 1133.34009 Fixed Point Theory 8, No. 1, 29-37 (2007). The paper concerns the system which consists of the second order differential inclusion \[ x''(t)\in F(t,x(t),H(t,x(t)) \]and the boundary conditions \[ x(0)-k_1x'(0)=c_1,\quad x(1)+k_2x'(1)=c_2. \]Here, the scalar multifunctions \(F\) and \(H\) are at least closed valued. Although the multifunction \((t,u)\to F(t,u,H(t,u))\) is not necessarily closed valued [cf. A. Belarbi and M. Benchohra, Electron. J. Differ. Equ. 2005, Paper No. 06 (2005; Zbl 1075.34015)], the solution multifunction \((c_1,c_2)\to S(c_1,c_2)\) has some meaningful properties. Reviewer: Corneliu Ursescu (Iaşi) Cited in 1 ReviewCited in 1 Document MSC: 34A60 Ordinary differential inclusions 47H10 Fixed-point theorems Keywords:boundary value problem Citations:Zbl 1075.34015 PDFBibTeX XMLCite \textit{A. Cernea}, Fixed Point Theory 8, No. 1, 29--37 (2007; Zbl 1133.34009)