an:00050870
Zbl 0729.34001
Esipov, A. A.; Sazonov, L. I.; Yudovich, V. I.
A guidebook for solving problems on ordinary differential equations. Textbook. (Rukovodstvo k resheniyu zadach po obyknovennym differentsial'nym uravneniyam. Uchebnoe posobie). Ed. by M. Yu. Zhukov
RU
Rostov-na-Donu: Izdatel'stvo Rostovskogo Universiteta. 336 p. R. 1.60 (1989).
1989
b
34-01 34A05 34A25 00A07 34C05 34D20
textbook; linear differential equations; power series method; Fourier method; Lyapunov stability theory
The present book is an introduction to the ordinary differential equations with emphasis on applications. It contains many illustrations and examples. It consists of three chapters. Chapter I treats differential equations of the first order of the form \(y'=f(x,y)\) and of the form \(M(x,y)dx+N(x,y)dy=0.\) The second chapter deals with linear differential equations and systems of such equations. The power series method, Fourier method and operator method are illustrated on various examples. The last chapter is devoted to the qualitative theory of autonomous systems and especially to the Lyapunov stability theory.
L.Janos (Praha)