Ill-posed boundary-value problems /

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Temirbolat, S. E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Utrecht ; Boston : VSP, 2003.
Colección:Inverse and ill-posed problems series.
Temas:
Boundary value problems.
Problèmes aux limites.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Boundary value problems
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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. Greenâ€?s 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 ODEThe 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 problem3.3. Linearized plane problem of gas dynamics
  • Bibliography

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