| A. Fruchard and R. Sch#fke, Exceptional complex solutions of the forced Van der Pol equation, Pr#publication IRMA, Strasbourg (1996). |
....g eom etriques sur le domaine et une hypoth ese de transversalit e sur le param etre de controle. L id ee principale la r esolution d un probl eme aux limites puis l application du th eor eme du point fixe est une g en eralisation d une technique etablie dans un pr ec edent article [13]. On g en eralise ces r esultats pour dans des secteurs recouvrant un voisinage de l origine. On en d eduit des estimations Gevrey sur la s erie formelle du param etre a des solutions formelles, puis on prolonge analytiquement la transform ee de Borel de cette s erie. On obtient alors des ....
....respect to the small perturbation parameter on some macroscopic domain, and which are exponentially close to each other. The approach based on the solution of a boundary value problem, and an application of the fix point theorem generalizes a technique elaborated in a previous article [13]. These results are generalized to the case where takes values in sectors covering a neighborhood of the origin. We derive Gevrey estimates of the formal solution concerning the parameter and show that the Borel transform of this series may be analytically continuated. Some results are obtained ....
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A. FRUCHARD, R. SCH AFKE, Exceptional complex solutions of the forced van der Pol equation, Pr'epublication IRMA, Strasbourg (1996).
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A. Fruchard and R. Sch#fke, Exceptional complex solutions of the forced Van der Pol equation, Pr#publication IRMA, Strasbourg (1996).
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