Seminar on Differential Equations and Dynamical Systems, II [electronic resource] : Seminar lectures at the University of Maryland 1969 / edited by J. A. Yorke.

Contributor(s): Yorke, J. A [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 144Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1970Description: VIII, 272 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540363064Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access online
Contents:
On stability of closed sets in dynamical systems -- Optimal control and linear functional differential equations -- Perturbation of systems with global existence -- Asymptotic recurrence and dynamical flow near a compact minimal set -- Remarks on integral stability -- The variable gradiant as a tool in the study of stability -- On a representation of linear continuous operators defined on distributions -- Function differential equations: Examples and problems -- Maximum sustainable yields as a control problem in integral equations -- Domains of stability for integral manifolds -- Stability in n-dimensional differential-delay equations -- Prolongations in topological dynamics -- Hyperstability, oscillations and optimal stabilization -- Absolutely stable differential equations which are not integrally stable -- On linear functional differential equations -- Uniformly asymptotic stability and total stability -- Absolute stability of control systems with multiple feedback -- Global solutions of functional differential equations -- Boundary value problems for second order differential equations -- Non-trivial minimal sets — a survey -- Subharmonics in hamiltonian systems -- Some properties of the control systems with irreducible matrix — Transfer functions -- Controllability of linear oscillatory systems using positive controls -- Relative stability and stability of closed sets -- Mathematical problems of space rescue -- Periodic solutions of functional differential equations -- On the existence of periodic solutions of functional differential equations -- A discussion of the linearization of volterra integral equations -- A stability problem in linear differential games -- Stability criterion for periodic families -- Liapunov functions on the region of unstable weak attraction -- Controllability for various linear and nonlinear system models -- An existence theorem for a periodic solution of perturbed periodic systems -- The period of periodic solutions and charged particles in magnetic fields.
In: Springer eBooks
Item type: E-BOOKS
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On stability of closed sets in dynamical systems -- Optimal control and linear functional differential equations -- Perturbation of systems with global existence -- Asymptotic recurrence and dynamical flow near a compact minimal set -- Remarks on integral stability -- The variable gradiant as a tool in the study of stability -- On a representation of linear continuous operators defined on distributions -- Function differential equations: Examples and problems -- Maximum sustainable yields as a control problem in integral equations -- Domains of stability for integral manifolds -- Stability in n-dimensional differential-delay equations -- Prolongations in topological dynamics -- Hyperstability, oscillations and optimal stabilization -- Absolutely stable differential equations which are not integrally stable -- On linear functional differential equations -- Uniformly asymptotic stability and total stability -- Absolute stability of control systems with multiple feedback -- Global solutions of functional differential equations -- Boundary value problems for second order differential equations -- Non-trivial minimal sets — a survey -- Subharmonics in hamiltonian systems -- Some properties of the control systems with irreducible matrix — Transfer functions -- Controllability of linear oscillatory systems using positive controls -- Relative stability and stability of closed sets -- Mathematical problems of space rescue -- Periodic solutions of functional differential equations -- On the existence of periodic solutions of functional differential equations -- A discussion of the linearization of volterra integral equations -- A stability problem in linear differential games -- Stability criterion for periodic families -- Liapunov functions on the region of unstable weak attraction -- Controllability for various linear and nonlinear system models -- An existence theorem for a periodic solution of perturbed periodic systems -- The period of periodic solutions and charged particles in magnetic fields.

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