Eventual Stability of Non-autonomous Systems of Differential Equations
Author : Robert Jerome Rath
Publisher :
Page : 120 pages
File Size : 47,52 MB
Release : 1962
Category :
ISBN :
Author : Robert Jerome Rath
Publisher :
Page : 120 pages
File Size : 47,52 MB
Release : 1962
Category :
ISBN :
Author : Anna Capietto
Publisher : Springer
Page : 314 pages
File Size : 20,28 MB
Release : 2012-12-14
Category : Mathematics
ISBN : 3642329063
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.
Author : James D. White
Publisher :
Page : 138 pages
File Size : 47,93 MB
Release : 1969
Category : Differential equations
ISBN :
Author : Junji Kato
Publisher : CRC Press
Page : 304 pages
File Size : 28,25 MB
Release : 2019-11-25
Category :
ISBN : 9780367455965
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.
Author : Joseph P. LaSalle
Publisher :
Page : 76 pages
File Size : 43,1 MB
Release : 1976
Category : Difference equations
ISBN :
Author : Junji Kato
Publisher : Routledge
Page : 280 pages
File Size : 38,58 MB
Release : 2019-09-09
Category : Mathematics
ISBN : 1351414852
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.
Author : Joseph P. LaSalle
Publisher :
Page : 76 pages
File Size : 46,64 MB
Release : 1976
Category : Difference equations
ISBN :
Author : A. P. Morgan
Publisher :
Page : 23 pages
File Size : 50,17 MB
Release : 1975
Category :
ISBN :
Author : Luis Barreira
Publisher : Springer
Page : 288 pages
File Size : 21,83 MB
Release : 2007-09-26
Category : Mathematics
ISBN : 3540747753
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.
Author : Lynn D. Maruska
Publisher :
Page : 46 pages
File Size : 50,82 MB
Release : 1966
Category : Differential equations
ISBN :