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Nonlinear Equations with Small Parameter (de Gruyter Series In Nonlinear Analysis And Applications)

Unknown Author
4.9/5 (15081 ratings)
Description:This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions.This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms.This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nonlinear Equations with Small Parameter (de Gruyter Series In Nonlinear Analysis And Applications). To get started finding Nonlinear Equations with Small Parameter (de Gruyter Series In Nonlinear Analysis And Applications), you are right to find our website which has a comprehensive collection of manuals listed.
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Pages
Format
PDF, EPUB & Kindle Edition
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ISBN
3110335689

Nonlinear Equations with Small Parameter (de Gruyter Series In Nonlinear Analysis And Applications)

Unknown Author
4.4/5 (1290744 ratings)
Description: This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions.This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms.This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Nonlinear Equations with Small Parameter (de Gruyter Series In Nonlinear Analysis And Applications). To get started finding Nonlinear Equations with Small Parameter (de Gruyter Series In Nonlinear Analysis And Applications), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
Format
PDF, EPUB & Kindle Edition
Publisher
Release
ISBN
3110335689
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