Solutions contingentes de l’équation de la variété centrale. (Contingent solutions to the center manifold equation). (French) Zbl 0714.34072

Aubin, Jean-Pierre; Da Prato, Giuseppe

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.

MSC:

34C30

Manifolds of solutions of ODE (MSC2000)

Keywords:

contingent solution; center manifolds; viscosity method