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Asymptotic methods for ordinary differential equations

Author: R P Kuzʹmina
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, 2000.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 512.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book considers the Cauchy problem for a system of ordinary differential equations with a small parameter, filling in areas that have not been extensively covered in the existing literature. The well-known types of equations such as the regularly perturbed Cauchy problem and the Tikhonov problem are dealt with, but also new ones such as the quasiregular Cauchy problem and the Cauchy problem with double
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: R P Kuzʹmina
ISBN: 0792364007 9780792364009
OCLC Number: 44045583
Description: x, 364 pages : illustrations ; 25 cm.
Contents: pt. 1. Quasiregular Cauchy Problem. Ch. 1. Solution Expansions of the Quasiregular Cauchy Problem. Ch. 2. Van Der Pol Problem --
pt. 2. Tikhonov Problem. Ch. 3. Boundary Functions Method. Ch. 4. Proof of Theorems 28.1-28.4. Ch. 5. Method of Two Parameters. Ch. 6. Motion of a Gyroscope Mounted in Gimbals. Ch. 7. Supplement --
pt. 3. Double-Singular Cauchy Problem. Ch. 8. Boundary Functions Method. Ch. 9. Method of Two Parameters.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 512.
Responsibility: by R.P. Kuzmina.
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In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. This problem is a generalization of the regu- larly perturbed Cauchy problem studied  Read more...

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From the reviews:"The book is devoted to the study of the Cauchy problem for the systems of ordinary differential equations ... . We emphasize, finally, that the book contains many explicitly or Read more...

 
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