Unstable periodic wave solutions of nerve axion diffusion equations.
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Ling, Rina (1987)
International Journal of Mathematics and Mathematical Sciences
Bainov, Drumi, Minchev, Emil (1997)
Georgian Mathematical Journal
Kruck, Amina, Reitmann, Volker (2017)
Proceedings of Equadiff 14
We prove a generalization of the Douady-Oesterlé theorem on the upper bound of the Hausdorff dimension of an invariant set of a smooth map on an infinite dimensional manifold. It is assumed that the linearization of this map is a noncompact linear operator. A similar estimate is given for the Hausdorff dimension of an invariant set of a dynamical system generated by a differential equation on a Hilbert manifold.
Cheban, David N. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Wang, Bixiang (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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