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130125s2013 gw | s |||| 0|eng d |
| 020 |
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|a 9783642338175
|9 978-3-642-33817-5
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7 |
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|a 10.1007/978-3-642-33817-5
|2 doi
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|a QA372
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|a PBKJ
|2 bicssc
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|a MAT007000
|2 bisacsh
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|a 515.352
|2 23
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| 100 |
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|a Kozlov, Valery V.
|e author.
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|a Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations
|c by Valery V. Kozlov, Stanislav D. Furta.
|h [electronic resource] /
|
| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2013.
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| 300 |
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|a XIX, 262 p. 2 illus.
|b online resource.
|
| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
|
| 490 |
1 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
|
| 505 |
0 |
# |
|a Preface -- Semi-quasihomogeneous systems of ordinary differential equations -- 2. The critical case of purely imaginary kernels -- 3. Singular problems -- 4. The inverse problem for the Lagrange theorem on the stability of equilibrium and other related problems -- Appendix A. Nonexponential asymptotic solutions of systems of functional-differential equations -- Appendix B. Arithmetic properties of the eigenvalues of the Kovalevsky matrix and conditions for the nonintegrability of semi-quasihomogeneous systems of ordinary dierential equations -- Bibliography.
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| 520 |
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|a The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can t be inferred on the basis of the first approximation alone. The book is illustrated with a large number of concrete examples of systems in which the presence of a particular solution of a certain class is related to special properties of the system s dynamic behavior. It is a book for students and specialists who work with dynamical systems in the fields of mechanics, mathematics, and theoretical physics.
|
| 650 |
# |
0 |
|a Mathematics.
|
| 650 |
# |
0 |
|a Differentiable dynamical systems.
|
| 650 |
# |
0 |
|a Differential Equations.
|
| 650 |
# |
0 |
|a Mathematical physics.
|
| 650 |
1 |
4 |
|a Mathematics.
|
| 650 |
2 |
4 |
|a Ordinary Differential Equations.
|
| 650 |
2 |
4 |
|a Dynamical Systems and Ergodic Theory.
|
| 650 |
2 |
4 |
|a Mathematical Methods in Physics.
|
| 700 |
1 |
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|a Furta, Stanislav D.
|e author.
|
| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9783642338168
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| 830 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
|
| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-33817-5
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| 912 |
# |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|