Comparison and Oscillation Theory of Linear Differential Equations by C A Swanson
- 322 pages
- English
- PDF
- Available on iOS & Android
Comparison and Oscillation Theory of Linear Differential Equations by C A Swanson
About This Book
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
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Table of contents
- Front Cover
- Comparison and Oscillation Theory of Linear Differential Equations
- Copyright Page
- Contents
- Preface
- Chapter 1. Sturm-Type Theorems for Second Order Ordinary Equations
- Chapter 2. Oscillation and Nonoscillation Theorems for Second Order Ordinary Equations
- Chapter 3. Fourth Order Ordinary Equations
- Chapter 4. Third Order Ordinary Equations, nth Order Ordinary Equations and Systems
- Chapter 5. Partial Differential Equations
- Bibliography
- Author Index
- Subject Index
- Mathematics in Science and Engineering