Aubin, Jean-Pierre; Da Prato, Giuseppe Solutions contingentes de l’équation de la variété centrale. (Contingent solutions to the center manifold equation). (French) Zbl 0714.34072 C. R. Acad. Sci., Paris, Sér. I 311, No. 6, 295-300 (1990). Summary: Given a system of ordinary differential equations with lipschitzian right-hand sides, we state an existence and uniqueness theorem for a “contingent solution” of the first-order system of partial differential equations characterizing center manifolds, as well as the convergence of the viscosity method. Cited in 3 Documents MSC: 34C30 Manifolds of solutions of ODE (MSC2000) Keywords:contingent solution; center manifolds; viscosity method PDF BibTeX XML Cite \textit{J.-P. Aubin} and \textit{G. Da Prato}, C. R. Acad. Sci., Paris, Sér. I 311, No. 6, 295--300 (1990; Zbl 0714.34072) OpenURL