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Stability Analysis: Nonlinear Mechanical Equations (Stability and Control: Theory, Methods and Applications, Vol 2) [Hardcover]

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Item description for Stability Analysis: Nonlinear Mechanical Equations (Stability and Control: Theory, Methods and Applications, Vol 2) by Martynuk...

This monograph describes the results of stability investigations of solutions of five types on nonlinear ordinary differential equations containing a small parameter. The averaging technique, the comparison method and Lyapunov's direct method for scalar, vector or matrix functions are employed for the construction of various sufficient conditions for the stability of solutions. Proofs of various theorems are presented including the averaging theorems of finite and unbounded intervals of standard systems of differential equations using the comparison method. Inverse theorems are proved for the stability theorems, and thus the universality of the comparison method with a scalar Lyapunov function for the given class of systems is shown. Systems describing motion in the form of smooth drift and fast oscillations are investigated using the averaging principle, which permits evolution equations that contain only slow variables on finite and unbounded intervals. The investigation of the stability of singul



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Item Specifications...


Pages   245
Est. Packaging Dimensions:   Length: 10.04" Width: 7" Height: 0.91"
Weight:   1.65 lbs.
Binding  Hardcover
Release Date   Sep 15, 1995
Publisher   CRC
ISBN  288449023X  
ISBN13  9782884490238  


Availability  0 units.


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Product Categories

1Books > Subjects > Business & Investing
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
3Books > Subjects > Professional & Technical > Professional Science > Physics > Mechanics
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > Applied > Differential Equations
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Mathematical Analysis
8Books > Subjects > Science > Physics > Mechanics



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