Asymptotic solutions of strongly nonlinear systems of differential equations
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 th...
Zapisane w:
| Główni autorzy: | , |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Wydanie: | 1st ed. 2013. |
| Seria: | Springer Monographs in Mathematics
|
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Edition sous un autre format: | • Asymptotic solutions of strongly nonlinear systems of differential equations, Valery V. Kozlov, Stanislav D. Furta, Heidelberg, Springer, 2013, 1 vol. (XIX-262 p.), Springer monographs in mathematics, 978-3-642-33816-8 |
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| 100 | 1 | |a Kozlov, Valerij Viktorovič, |d 1950- | |
| 245 | 1 | 0 | |a Asymptotic solutions of strongly nonlinear systems of differential equations |c by Valery V. Kozlov, Stanislav D. Furta. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |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 di erential equations Bibliography | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |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 | ||
| 700 | 1 | |a Furta, Stanislav D., |d 19..- |4 aut | |
| 776 | 0 | |0 167261622 |t Asymptotic solutions of strongly nonlinear systems of differential equations |f Valery V. Kozlov, Stanislav D. Furta |c Heidelberg |n Springer |d 2013 |p 1 vol. (XIX-262 p.) |s Springer monographs in mathematics |z 978-3-642-33816-8 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-33817-5 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-QZPLPBRQ-W |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748047727 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-33817-5 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751498858 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-33817-5 |z Accès INSA CVL | |
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