Formulation of the theory of perturbations for complicated models. Part1: the estimation of the climate change

Abstract

The paper is devoted to construction of the theory of perturbations and formulation of inverse problems for the purpose of identification of its important parameters. The new aspect here is extension of a class of mathematical models to quasilinear and nonlinear problems. The basic equations in the models arc put to correspond with the conjugate equations which are used for constructing the theory of perturbations. Examples from the theory of general circulation of the atmosphere and climate arc presented.