Acta Mathematica Vietnamica
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BIFURCATION AND HOPF BIFURCATION AT MULTIPLE EIGENVALUES FOR EQUATIONS WITH LIPSCHITZ MAPPINGS
NGUYEN XUAN TANpp. 279-311
Abstract
Some results on the existence of bifurcation and Hopf bifurcation at multiple eigenvalues for abstract equations concerning Lipschitz continuous mappings in Banach spaces are proved. The obtained results improve some well-known bifurcation results by Crandall and Rabinowitz, McLeod and Sattinger Hopf etc. in the case involving Lipschitz continuous mappings. Some illustrative examples are given.