Method of averaging for differential equations on an infinite interval theory and applications 1st Edition by Vladimir Burd ISBN 158488875X 9781584888758

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Product details:

ISBN 10: 158488875X

ISBN 13: 9781584888758 

Author: Vladimir Burd 

In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, Method of Averaging of the Infinite Interval: Theory and Applications rigorously explains the modern theory of the me

Table of contents:

Part 1
Chapter 1: Periodic and Almost Periodic Functions. Brief Introduction
Chapter 2: Bounded Solutions
Chapter 3: Lemmas on Regularity and Stability
Chapter 4: Parametric Resonance in Linear Systems
Chapter 5: Higher Approximations. The Shtokalo Method
Chapter 6: Linear Differential Equations with Fast and Slow Time
Chapter 7: Asymptotic Integration
Chapter 8: Singularly Perturbed Equations
Part 2
Chapter 9: Systems in Standard Form. First Approximation
Chapter 10: Systems in the Standard Form. First Examples
Chapter 11: Pendulum Systems with an Oscillating Pivot
Chapter 12: Higher Approximations of the Method of Averaging
Chapter 13: Averaging and Stability
Chapter 14: Systems with a Rapidly Rotating Phase
Chapter 15: Systems with a Fast Phase. Resonant Periodic Oscillations
Chapter 16: Systems with Slowly Varying Parameters

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Tags: Vladimir Burd, Method, Averaging, Differential, Equations, Infinite, Interval, Theory, Applications