Dynamical Systems and Evolution Equations: Theory and Applications - Tapa blanda

Sinopsis

I. Evolution Equations on ?n.- 1. The Space ?n.- 2. Evolution Equations on ?n.- 3. Finite Escape Times.- 4. Processes on ?sun X ?.- 5. Linear Dynamical Systems.- 6. The Simplest Class of Processes.- 7. Stability of a Particular Motion: Processes.- 8. Stability of Equilibrium: Dynamical Systems.- 9. Stability of Equilibrium: Linear Dynamical Systems.- 10. Quadratic Liapunov Functions and Linearization.- 11. The Invariance Principle and Asymptotic Behavior.- 12. Comments and Extensions.- References.- II. Preliminaries for Abstract Evolution Equations.- 1. Abstract Spaces.- 2. Functions.- 3. Linear Functions.- 4. Differentiation of Functions.- 5. Abstract Evolution Equations.- References.- III. Abstract Dynamical Systems and Evolution Equations.- 1. Dynamical Systems and C0-Semigroups.- 2. Linear Dynamical Systems.- 3. Generation of Linear Dynamical Systems.- 4. Choosing the State Space in Applications.- 5. Generation of Nonlinear Dynamical Systems.- 6. Comments and Extensions.- References.- IV. Some Topological Dynamics.- 1. Liapunov Functions and Positive Invariance.- 2. Computation of V.- 3. Stability and Liapunov's Direct Method.- 4. Positive Limit Sets and the Invariance Principle.- 5. Orbital Precompactness and Use of the Invariance Principle.- 6. Comments and Extensions.- References.- V. Applications and Special Topics.- 1. A Feedback Control Problem.- 2. The Thermoelastic Stability Problem.- 3. The Viscoelastic Stability Problem.- 4. A Fission Reactor Stability Problem.- 5. A Supersonic Panel-Flutter Problem.- 6. Discrete Dynamical Systems.- 7. Finite-Dimensional Approximation.- References.

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