Author: Robert Jerome RathPublisher:
ISBN:
Category :
Languages : en
Pages : 120
Book Description
Eventual Stability of Non-autonomous Systems of Differential Equations
Author: Robert Jerome RathStability and Bifurcation Theory for Non-Autonomous Differential Equations
Author: Anna CapiettoPublisher: Springer
ISBN: 3642329063
Category : Mathematics
Languages : en
Pages : 314
Book Description
This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.
The Stability of Nonautonomous Systems of Differential Equations
Author: James D. WhitePublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 138
Book Description
Stability of Motion of Nonautonomous Systems
Author: Junji KatoPublisher: CRC Press
ISBN: 9780367455965
Category :
Languages : en
Pages : 304
Book Description
Continuing the strong tradition of functional analysis and stability theory for differential and integral equations already established by the previous volumes in this series, this innovative monograph considers in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov's direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed. For the first time, the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems is applied to a new field: that of the stability problem of systems with small parameters. This important development should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids, and nuclear reactors.
The Stability of Dynamical Systems Appendix A, Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations, Z. Artstein
Author: Joseph P. LaSallePublisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 76
Book Description
The Stability of Dynamical Systems. Appendix A: Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations
Author: Joseph P. LaSallePublisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 76
Book Description
On the Stability of Non-Autonomous Differential Equations Dx/dt
Author: A. P. MorganStability of Motion of Nonautonomous Systems (Methods of Limiting Equations)
Author: Junji KatoPublisher: Routledge
ISBN: 1351414852
Category : Mathematics
Languages : en
Pages : 280
Book Description
Continuing the strong tradition of functional analysis and stability theory for differential and integral equations already established by the previous volumes in this series, this innovative monograph considers in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov's direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed. For the first time, the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems is applied to a new field: that of the stability problem of systems with small parameters. This important development should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids, and nuclear reactors.
Stability of Nonautonomous Differential Equations
Author: Luis BarreiraPublisher: Springer
ISBN: 3540747753
Category : Mathematics
Languages : en
Pages : 288
Book Description
This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Stability in Autonomous Systems of Differential Equations
Author: Lynn D. MaruskaPublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 46
Book Description