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{ "item_title" : "Asymptotic Methods for Ordinary Differential Equations", "item_author" : [" R. P. Kuzmina "], "item_description" : "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 Poincare35]. 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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/9/04/815/500/9048155002_b.jpg", "price_data" : { "retail_price" : "109.99", "online_price" : "109.99", "our_price" : "109.99", "club_price" : "109.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Asymptotic Methods for Ordinary Differential Equations|R. P. Kuzmina

Asymptotic Methods for Ordinary Differential Equations

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Overview

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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Details

  • ISBN-13: 9789048155002
  • ISBN-10: 9048155002
  • Publisher: Springer
  • Publish Date: December 2010
  • Dimensions: 9.21 x 6.14 x 0.78 inches
  • Shipping Weight: 1.16 pounds
  • Page Count: 364

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