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Asymptotic Methods for Ordinary Differential Equations

by R. P. Kuzmina
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Current price ₹7,267.00
Original price ₹11,179.00
Original price ₹11,179.00
Original price ₹11,179.00
(-35%)
₹7,267.00
Current price ₹7,267.00

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Book cover type: Paperback
  • ISBN13: 9789048155002
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 364
  • Original Price: EUR 99.99
  • Language: English
  • Edition: N/A
  • Item Weight: 567 grams
  • BISAC Subject(s): Differential Equations / General

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.

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