Hopf Bifurcation for a Class of Partial Differential Equation with Delay

Autor(es)

Azevedo, Katia A. G. ^[1] ; Ladeira, Luiz A. C. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, ICMC, Dep Matemat, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Funkcialaj Ekvacioj-Serio Internacia; v. 47, n. 3, p. 395-422, DEC 2004.
• Citações Web of Science: 4

Resumo

We study a kind of delayed reaction-diffusion equation with Dirichlet boundary condition. We show the existence of a sequence of values [tau(kn)](n=0,1,2,..) of the parameter tau such that a Hopf bifurcation occurs when the delay passes through each value [tau(kn)]. 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. (AU)

• Processo FAPESP: 97/14612-3 - Solucoes periodicas e solucoes oscilatorias para sistemas de equacoes diferenciais retardadas com impulsos.
• Beneficiário: Katia Andreia Gonçalves de Azevedo
• Modalidade de apoio: Bolsas no Brasil - Doutorado