Global properties of linear ordinary differential equations

Autor: Neuman František
Rok: 1991
ISBN: 9788020004239
ISBN: 9780792312697
NKP-CNB: cnb000065164
OCLC Number: (OCoLC)23583276
OKCZID: 110701497
Vydání: 1. vyd.

Digitální objekty

Anotace

Kniha obsahuje původní řešení lineárních diferenciálních rovnic určitého speciálního typu. --- This volume presents an authoritative, unified overview of the methods and results concerning the global properties of linear differential equations of order n (n>=2). It does not, however, seek to be comprehensive. Rather, it contains a selection of results which richly illustrate the unified approach presented. By making use of recent methods and results from many different areas of mathematics and by introducing several original methods, global solutions of problems previously studied only locally are given. The structure of global transformations is described algebraically, and a new geometrical approach is introduced which leads to global canonical forms suitable for Cartan's moving frame-of-reference method. The theory discussed also provides effective tools for solving some open problems, especially relating to the distribution of zeros of solutions. In addition, the theory of functional equations plays an important role in studying the asymptotic behaviour of solutions. Applications to differential geometry and functional equations are also described. The volume is largely self-contained. This book is for mathematicians, computer scientists, physicists, chemists, engineers, and others whose work involves the use of linear differential equations.

Zdroj anotace: OKCZ - ANOTACE Z WEBU

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