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Research on evolution equations compendium /
Annotation
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hauppauge, N.Y. :
Nova Science Publishers,
©2009-
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- RESEARCH ON EVOLUTION EQUATION COMPENDIUM. VOLUME 1 ; RESEARCH ON EVOLUTION EQUATION COMPENDIUM. VOLUME 1 ; CONTENTS ; PREFACE ; DOUBLE SCALE CONVERGENCE AND HOMOGENIZATION OF QUASILINEAR PARABOLIC EQUATIONS; Abstract; 1 Introduction; 2 Formulation of the Problem; 3 Double Scale Convergence and the Main Theorem; References; SECOND GRADE FLUIDS WITH ENHANCED VISCOSITY AS DYNAMICAL SYSTEMS; Abstract; 1 Introduction; 2 Setting of the Problem; 3 Existence of the Global Attractor; 4 Existence of Exponential Attractors; Acknowledgments; References.
- PERIODIC SOLUTIONS OF SOME EVOLUTION EQUATIONS WITH INFINITE DELAYAbstract; 1 Introduction; 2 Solutions and Their Estimations; 3 Existence of Periodic Solutions; 4 A Massera Type Theorem; References; INTERNAL POLLUTION AND DISCRIMINATING SENTINEL IN POPULATION DYNAMICS PROBLEM; Abstract; 1 Introduction; 1.1 Population Dynamics Problem with Missing Data; 1.2 Equivalence to Null-Controllability with Constraints on the Control; 1.3 Controllability Problem; 2 Null-Controllability with Constraints on the Control; 2.1 Observability Inequality Adapted to Constraints.
- 2.2 Existence of Optimal Control Variable3 Optimality System for the Optimal Control Variable; 4 Discriminating Sentinels; 5 Conclusion; Acknowledgments; References; CENTER MANIFOLD AND STABILITY IN CRITICAL CASES FOR SOME PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS; Abstract; 1 Introduction; 2 Spectral Analysis and Variation of Constants Formula; 3 Global Existence of the Center Manifold; 4 Attractiveness of the Center Manifold; 5 Flow on the Center Manifold; 6 Stability in Critical Cases; 7 Local Existence of the Center Manifold; 8 Application; Acknowledgements; References.
- STABILITY RADII OF POSITIVE LINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS IN BANACH SPACESAbstract; 1 Introduction; 2 Preliminaries; 3 Stability Radii of Linear Abstract Functional Differential Equations under Multi-perturbations; 3.1 Abstract Functional Differential Equations; 3.2 Stability Radii; 4 Stability Radii of Positive Linear Functional Differential Equations under Multi-affine Perturbations; References; EFFECTS OF NONLOCALITY AND PHASE SHIFT DEFINITIONS IN GENERALIZING LEVINSON'S THEOREM; Abstract; 1 Introduction; 2 Method of Approach; 3 Extension to Nonlocal Potentials.
- 4 Properties of D+(k), D(k), and L+(k) for a Nonlocal Potential5 Solutions at k=0; 6 Derivation of the Generalized Levinson's Theorem for the Phase Shift; 6.1 Case of n Bound States and One Half-Bound State; 6.2 Case of n Bound States and m Continuum Bound States; 6.3 Case of n Bound States and p Spurious States; 6.4 Summary; 7 Derivation of the Generalized Levinson's Theorem for the Phase Shift; 7.1 Case of n Bound States and One Half-Bound State; 7.2 Case of n Bound States and m Continuum Bound States; 7.3 Case of n Bound States and p Spurious States; 7.4 Summary; 8 Examples.