STABILITY OF BIFURCATING PERIODICAL SOLUTIONS AT POINCAR ′ E-ANDRONOV-HOPF BIFURCATION FOR SINGULAR DIFFERENTIAL EQUATIONS IN BANACH SPACES

摘要

The technique of branching equations in the root subspaces and linear resolving systems [3]-[5] is applied to the problem of periodical bifurcating solutions stability at nonsta- tionary bifurcation for singular differential equations in Banach spaces.