Accession Number : AD0768044

Title :   Lectures on the Theory of Ordinary Differential Equations,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Petrovskii,I. G.

Report Date : 20 AUG 1973

Pagination or Media Count : 331

Abstract : The report is a textbook for a course on ordinary differential equations. The carefully prepared presentation makes it possible to present a great deal of material in a small volume. Equations of simple types are examined in great detail. The general theories on the solutions of equations and systems of equations with continuous right parts are presented in detail. The theory of linear equations is accompanied by an original presentation of the canonical form of the systems. The book includes a chapter on independent systems, and the appendix contains the theory of linear and nonlinear equations with partial derivatives of the first order. A large number of problems greatly expands the contents of the book. (Modified author abstract)

Descriptors :   (*DIFFERENTIAL EQUATIONS, TEXTBOOKS), NONLINEAR DIFFERENTIAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, CAUCHY PROBLEM, ANALYTIC FUNCTIONS, MAPPING(TRANSFORMATIONS), MATRICES(MATHEMATICS), NUMERICAL ANALYSIS, THEOREMS, INTEGRAL EQUATIONS, NUMERICAL INTEGRATION, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE