Ill Posed Boundary Value Problems 1st Edition by Serikkali Temirbolat 9783110915518 3110915510

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Product details:

ISBN 10: 3110915510

ISBN 13: 9783110915518

Author: Serikkali E. Temirbolat

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.

Table of contents:

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

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Tags: Serikkali Temirbolat, Posed, Boundary, Problems