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Stability for some neutral partial functional differential equations
by
Rachid Benkhalti
Pacific Lutheran University, Mathematics Department, Tacoma, WA, USA.
The aim of this work is to investigate the asymptotic behavior of solutions near hyperbolic stationary solutions for partial neutral functional differential equations in spaces. We suppose that the linear part satisfies the Hille-Yosida condition on a Banach space, the delayed part is assumed to be smooth in certain sense. We show the existence of stable and unstable manifolds near hyperbolic equilibrium.
Date received: January 16, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavk-74.