Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

• Main Authors: Kozlov, Valery V. (Author), Furta, Stanislav D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Springer Monographs in Mathematics,
• Subjects: 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...