The Cauchy problem for a class of nonlinear differential equations in a Banach space (Q1776244)

The author analyzes the solvability of a class of nonlinear differential equations in a Banach space by using the method of a change of variables. Moreover, the theoretical results are applied to the integro-differential equations with first partial derivatives, with a uniformly elliptic operator and with a degenerate elliptic operator and to the dynamic equation for a probability measure, and some results of existence of solutions are obtained.