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

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)
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