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In this work we study the retarded reaction-diffusion equation dU, dU, x k r ~dt x ) = x ) + x ) + sJ 9 ^ + ) > U(t,0)=U(t,n) = 0, t> 0 U(t, x) = a;), (í, X ) G [—r, 0] x [0, t f] , We show the existence of a sequence of values {7*„}n=o,1,2,... of the parameter T such that a Hopf bifurcation occurs when the delay passes through each value {rk n}. The main techniques used here are some results on nonlinear eigenvalue problems, the analysis of the characteristic equation of the linearized problem, the Liapunov-Schmidt method and the Implicit Function Theorem.

Bifurcação de Hopf para uma classe de equações diferenciais parciais com retardamento