Advances in stability theory at the end of the 20th century /

Bibliographic Details
Corporate Author: Taylor & Francis
Other Authors: Martyn i Æ uk, A. A. (Anatolii Andreevich)
Format: eBook
Language:English
Published: New York : Taylor and Francis, 2002.
Series:Stability and control ; Volume 13.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • part Part 1 Progress in stability theory by the first approximation
  • chapter 1 1 Invariant foliations for caratheodory type differential equations in banch spaces
  • chapter 1 2 On exponential asymptotic stability for functional differential equations with causal operators
  • chapter 1 3 Lyapunov problems on stability by linear approximation
  • part Part 2 Contemporary Development of Lyapunov's Ideas of Direct Method
  • chapter 2 1 Vector lyapunov functions:nonlinear,time-varying,ordinary and functional differential equations
  • chapter 2 2 Some Results on total stability properties for singular systems
  • chapter 2 3 Stability theory of volterra difference equations
  • chapter 2 4 Consistent lyapunov methodology for exponential stability: pcup approach
  • chapter 2 5 Advances in stability theory of lyapunov:old and new
  • chapter 2 6 Matrix liapunov functions and stability analysis of dynamical systems
  • chapter 2 7 Stability theorems in impulsive functional differential equations with infinite delay
  • chapter 2 8 The asymptotic behaviour of solutions to stochastic functional differential equations with finite delays by the lyapunov-razumikhin method
  • chapter 2 9A non-standard approach to the study of the dynamic system stability
  • part Part 3 Stability of solutions to periodic differential systems
  • chapter 3 1A survey of starzhinskii's works on stability of periodic motions and nonlinear oscillations
  • chapter 3 2 Implications of the stability of an orbit for its omega limit set
  • chapter 3 3 Some concepts of periodic motions and stability originated by analysis of homogeneous systems
  • chapter 3 4 Stability criteria for periodic solutions of autonomous hamiltonian systems
  • part Part 4 Selected applications
  • chapter 4 1 Stability in models of agriculture-industry-environment interactions
  • chapter 4 2 Bifurcations of periodic solutions of the three body problem
  • chapter 4 3 Complex mechanical systems:steady-state motions,oscillations,stabilit
  • chapter 4 4 Progress in stability of impulsive systems with applications to population growth models.