Dichotomies and Stability in Nonautonomous Linear Systems
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€303.80
A01=A.M. Samoilenko
A01=V.L. Kulik
A01=Yu. A. Mitropolsky
advanced mathematics research
Author_A.M. Samoilenko
Author_V.L. Kulik
Author_Yu. A. Mitropolsky
Block Diagonal Form
Block Triangular Form
Category=PBKJ
Category=PBW
Continuity Modulus
Continuously Differentiable
Damping Index
dynamical systems theory
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exponential Stability
Fundamental Matrix
Green Function
Heo Rem
Inhomogeneous System
Invariant Manifolds
invariant tori analysis
Invariant Torus
Linear System
Linearly Independent
Lyapunov function applications in dynamics
Lyapunov Transformation
Lyapunov Variables
mathematical modelling science
Matrix Function
Non-degenerate Quadratic Form
Non-trivial Solutions
Partial Derivatives
perturbation methods
Projection Matrix
Quadratic Form
stability of differential equations
Symmetric Matrix
Unperturbed System
Weakly Regular
Product details
- ISBN 9780415272216
- Weight: 852g
- Dimensions: 178 x 254mm
- Publication Date: 10 Oct 2002
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This monograph is a detailed study of the application of Lyapunov functions with variable sign, expressed in quadratic forms, to the solution of this problem. The authors explore the preservation of invariant tori of dynamic systems under perturbation. This volume is a classic contribution to the literature on stability theory and provides a useful source of reference for postgraduates and researchers.
Yu. A. Mitropolsky, A.M. Samoilenko, V.L. Kulik
