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- 150 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Ill-Posed Boundary-Value Problems
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About This Book
This monograph extends well-known facts to new classes of problems and works out novel approaches to the solution of these problems. It is devoted to the questions of ill-posed boundary-value problems for systems of various types of the first-order differential equations with constant coefficients and the methods for their solution.
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Yes, you can access Ill-Posed Boundary-Value Problems by Serikkali E. Temirbolat in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Introduction
- 1. Conditionally well-posed problems and related questions
- 2. Problems and methods for their investigation
- 3. Denotation and terms
- 4. Some facts from the theory of matrices
- 5. Canonical (normal) forms of matrices
- 6. On solutions of system of algebraic equations
- 7. Relation between an arbitrary equation and a system of first-order ordinary differential equations. Greenâs matrix
- Chapter 1. Construction of ill-posed problems for a system of the first order ODE
- 1.1. Correct problem statement for an arbitrary system of ODE
- The first boundary-value problem
- 1.2. Problem on the ray t > 0
- 1.3. Problem on the interval
- General boundary value problem
- 1.4. Problem statement. Analysis of boundary conditions
- 1.5. Linearization algorithm
- Chapter 2. Parabolic problems
- 2.1. Parabolic systems
- 2.2. Boundary-value problems
- 2.3. The first boundary-value problem
- 2.4. Mixed problem of heat and mass exchange
- Chapter 3. Hyperbolic equations
- 3.1. Hyperbolicity and mixed problem
- 3.2. Two-dimensional acoustic problem
- 3.3. Linearized plane problem of gas dynamics
- Bibliography