Name: global properties of linear ordinary differential equations
SKU: 3407701
Price: 1783.00 ZAR
Availability: InStock
Author: neuman
ISBN: 9780792312697

portada global properties of linear ordinary differential equations

global properties of linear ordinary differential equations

Type

Physical Book

Publisher

Springer

Author

neuman

Language

English

Pages

340

ISBN

0792312694

ISBN13

9780792312697

Synopsis "global properties of linear ordinary differential equations"

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 cartans 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.