Geodesic
Existence of unstable manifolds for a certain class of delay differential equations
Electronic journal of differential equations, Tome 2002 (2002)
We prove a theorem for unstable manifolds in a differential equation with a state-dependent delay. Although the equation cannot be formally linearized, we find an associated linear delay equation whose dynamics are qualitatively similar near the unstable manifold. Our proof relies upon estimates of the derivative of a trajectory on the unstable manifold near equilibrium.
Classification : 34K40
Keywords: invariant manifolds, functional differential equations 
@article{EJDE_2002__2002__a95,
     author = {Krishnan,  Hari P.},
     title = {Existence of unstable manifolds for a certain class of delay differential equations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1010.34071},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a95/}
}
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%A Krishnan,  Hari P.
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%J Electronic journal of differential equations
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Krishnan,  Hari P. Existence of unstable manifolds for a certain class of delay differential equations. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a95/