Viability, invariance and applications /

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The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cârjă, Ovidiu
Otros Autores: Necula, Mihai, Vrabie, I. I. (Ioan I.), 1951-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier, 2007.
Edición:1st ed.
Colección:North-Holland mathematics studies ; 207.
Temas:
Differential equations.
Set theory.
Symmetry (Mathematics)
Équations différentielles.
Théorie des ensembles.
Symétrie (Mathématiques)
MATHEMATICS > Differential Equations > General.
Differential equations
Set theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Chapter 1. Generalities
  • Chapter 2. Specific preliminary results
  • Ordinary differential equations and inclusions
  • Chapter 3. Nagumo type viability theorems
  • Chapter 4. Problems of invariance
  • Chapter 5. Viability under Caratȟodory conditions
  • Chapter 6. Viability for differential inclusions
  • Chapter 7. Applications
  • Part 2 Evolution equations and inclusions
  • Chapter 8. Viability for single-valued semilinear evolutions
  • Chapter 9. Viability for multi-valued semilinear evolutions
  • Chapter 10. Viability for single-valued fully nonlinear evolutions
  • Chapter 11. Viability for multi-valued fully nonlinear evolutions
  • Chapter 12. Caratȟodory perturbations of m-dissipative operators
  • Chapter 13. Applications
  • Solutions to the proposed problems
  • Bibliographical notes and comments
  • Bibliography
  • Name Index
  • Subject Index
  • Notation.

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