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140122 ||| eng |
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|a 9781402020315
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| 100 |
1 |
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|a Samoilenko, Anatolii M.
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| 245 |
0 |
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|a Multifrequency Oscillations of Nonlinear Systems
|h Elektronische Ressource
|c by Anatolii M. Samoilenko, R. Petryshyn
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| 250 |
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|a 1st ed. 2004
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| 260 |
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|a Dordrecht
|b Springer Netherlands
|c 2004, 2004
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| 300 |
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|a VI, 317 p
|b online resource
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| 505 |
0 |
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|a Averaging Method in Oscillation Systems with Variable Frequencies -- Aceraging Method in Multipoint Problems -- Integral Manifolds -- Investigation of a Dynamical System in a Neighborhood of a Quasiperiodic Trajectory
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| 653 |
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|a Functional analysis
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Fourier Analysis
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| 653 |
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|a Applications of Mathematics
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| 653 |
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|a Mathematics
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| 653 |
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|a Differential Equations
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| 653 |
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|a Differential equations
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| 653 |
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|a Fourier analysis
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| 700 |
1 |
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|a Petryshyn, R.
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Mathematics and Its Applications
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| 028 |
5 |
0 |
|a 10.1007/1-4020-2031-7
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/1-4020-2031-7?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.35
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| 520 |
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|a In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations
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