Holomorphic Regularization of Singular Perturbations in a Banach Space

Аннотация

The holomorphic regularization method, which is a natural extension of Lomov’s regularization method, is used to solve strongly nonlinear singularly perturbed equations in Banach spaces. The existence of pseudoholomorphic solutions of such equations is proved, and the analytic properties of their Galerkin approximations are studied.