Bifurcation Theory and the Type Numbers of Marston Morse
Bifurcation Theory and the Type Numbers of Marston Morse
Let H be a real Hilbert space and f(x,lambda) be a C(2) operator mapping a small neighborhood U of (x(0),lambda(0)) epsilon (H x R(1)) into itself. We investigate the solutions of the equation f(x,lambda) = 0 near a solution (x(0),lambda(0)), assuming that f(x,lambda) is a gradient mapping and 0 < …