Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

• Κύριοι συγγραφείς: Kozlov, Valery V. (Συγγραφέας), Furta, Stanislav D. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Physics.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.; Mathematical Methods in Physics.

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...

Πίνακας περιεχομένων:

• 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.