CATERGORY OF EQUATIONS AND ITS SUBCATEGORIES

Abstract

A new general notion of equation was introduced by us with assistance of the notion “predicate” on the base of the principle of preservation of solution while transformations and elements of the category of equations were constructed on the base of well-known categories. Initial values and boundary values are also included in the notion of equations. Further, we introduced the notion of the category of correct equations including the known “correctness by Hadamard” and presented examples of transformations. The aim of this paper is to describe the category of functions which was used in literature implicitly, the category of equations and their distinguished subcategories.