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Book Categories |
| Introduction to the Series | ||
| Preface | ||
| An Overview | ||
| Pt. 1 | Progress in Stability Theory by the First Approximation | |
| 1.1 | Invariant Foliations for Caratheodory Type Differential Equations in Banach Spaces | 1 |
| 1.2 | On Exponential Asymptotic Stability for Functional Differential Equations with Causal Operators | 15 |
| 1.3 | Lyapunov Problems on Stability by Linear Approximation | 25 |
| Pt. 2 | Contemporary Development of Lyapunov's Ideas of Direct Method | |
| 2.1 | Vector Lyapunov Functions Nonlinear, Time-Varying, Ordinary and Functional Differential Equations | 49 |
| 2.2 | Some Results on Total Stability Properties for Singular Systems | 75 |
| 2.3 | Stability Theory of Volterra Difference Equations | 89 |
| 2.4 | Consistent Lyapunov Methodology for Exponential Stability: PCUP Approach | 107 |
| 2.5 | Advances in Stability Theory of Lyapunov: Old and New | 121 |
| 2.6 | Matrix Liapunov Functions and Stability Analysis of Dynamical Systems | 135 |
| 2.7 | Stability Theorems in Impulsive Functional Differential Equations with Infinite Delay | 153 |
| 2.8 | The Asymptotic Behaviour of Solutions of Stochastic Functional Differential Equations with Finite Delays by Liapunov-Razumikhin Method | 175 |
| 2.9 | A Non-Standard Approach to the Study of the Dynamic System Stability | 189 |
| Pt. 3 | Stability of Solutions to Periodic Differential Systems | |
| 3.1 | A Survey of Starzhinskii's Works on Stability of Periodic Motions and Nonlinear Oscillations | 201 |
| 3.2 | Implications of the Stability of an Orbit for Its Omega Limit Set | 217 |
| 3.3 | Some Concepts of Periodic Motions and Stability Originated by Analysis of Homogeneous Systems | 231 |
| 3.4 | Stability Criteria for Periodic Solutions of Autonomous Hamiltonian Systems | 243 |
| Pt. 4 | Selected Applications | |
| 4.1 | Stability in Models of Agriculture - Industry - Environment Interactions | 255 |
| 4.2 | Bifurcations of Periodic Solutions of the Three Body Problem | 267 |
| 4.3 | Complex Mechanical Systems: Steady-State Motions, Oscillations, Stability | 289 |
| 4.4 | Progress in Stability of Impulsive Systems with Applications to Population Growth Models | 321 |
| Index | 339 |
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Roland Helfer
reviewed Advances in Stability Theory at the End of the 20th Century on November 09, 2013
Advances in Stability Theory at the End of the 20th Century
Supermassive Black Holes in the Universe. Well done discussion about the most powerful and least understood objects in the universe. Learned that there is a possibility that the universe itself is a black hole and that the end of everything, and meaning everything, is 10^98 (thats a 1 with 98 0's following) years away.
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