The Hopf Bifurcation for an Abstract Functional Differential Equation and Its Application

Authors

  • Lei Yansong

Keywords:

Hopf bifurcation; Functional differential equation

Abstract

ln this peper we obtained the Hopf bifurcation theorem for an abstract functional differential equation by the results of [1]. The asymptotic expression of bifurcation formulae and stability condition were given in detail. Applying the result, we considered the Hopf bifurcation problem for a reaction-diffusion equation with time delay.

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Published

1990-03-01

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Issue

Vol. 3 No. 3 (1990)

Section

Articles

How to Cite

The Hopf Bifurcation for an Abstract Functional Differential Equation and Its Application. (1990). Journal of Partial Differential Equations, 3(3), 24-38. https://www.global-sci.com/index.php/jpde/article/view/3640

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