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VOL. 33 | 1994 Hopf bifurcation of a class of PDEs
Xiangjian He, Zhuhan Jiang

Editor(s) Gaven Marten, Bevan Thompson

Abstract

The Hopf Bifurcation Theorem is the simplest result which guarantees the bifurcation of a family of time periodic solutions of an evolution equation from a family of equilibrium solutions. In this paper, we apply the theorem to a class of partial differential equations (PDEs). The usual assumption of differentiability of nonlinear terms is dropped by the employment of topological considerations. The method of parameter functionalization plays a very important role.

Information

Published: 1 January 1994
First available in Project Euclid: 18 November 2014

zbMATH: 0852.35018
MathSciNet: MR1332505

Rights: Copyright © 1994, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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