An implicit function theorem for small divisor problems
An implicit function theorem for small divisor problems
1. Introduction.Various nonlinear problems, not accessible to standard existence theorems, led to new techniques which allowed the solution of the isometric embedding problem (J.Nash [1]) and stability problems of Hamiltonian systems connected with small divisors (A.N. Kolmogorov, V. I. Arnold, J. Moser [2]-[6]).Subsequently, the underlying ideas were abstracted as implicit …