Asymptotic Methods for Ordinary Differential Equations
Language: English
Published by Kluwer Academic Publishers, US, 2000
- Hardcover
- New
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In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at is, a problem with the singularity included in a bounded function j , which depends on time and a small parameter. This problem is a generalization of the regu larly perturbed Cauchy problem studied by Poincare [35]. Some differential equations which are solved by the averaging method can be reduced to a quasiregular Cauchy problem. As an example, in Chapter 2 we consider the van der Pol problem. In Part 2 we study the Tikhonov problem. This is, a Cauchy problem for a system of ordinary differential equations where the coefficients by the derivatives are integer degrees of a small parameter.
Seller Inventory # LU-9780792364009
- Title
- Asymptotic Methods for Ordinary Differential Equations
- Author
- R.P. Kuzmina
- Publisher
- Kluwer Academic Publishers, US
- Publication year
- 2000
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0792364007
- ISBN 13
- 9780792364009
- Edition
- 2000 ed.
"Synopsis" may belong to another edition of this title.
Review
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 analytically or numerically solved examples. Summarizing it is an interesting and well-written book that provides good estimates to the solution of the Cauchy problem posed for the systems of very general nonlinear ODE-s. It will be useful for anyone interested in analysis, especially to specialists in ODE-s, physicists, engineers and students ... .” (Jeno Hegedus, Acta Scientiarum Mathematicarum, Vol. 74, 2008)
"About the title" may belong to another edition of this title.
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