A Textbook on Ordinary Differential Equations

The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pen...

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Detalles Bibliográficos
Autor principal: Ahmad, Shair (-)
Autor Corporativo: SpringerLink (-)
Otros Autores: Ambrosetti, Antonio
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cham : Springer International Publishing 2014.
Colección:UNITEXT ; 73.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b32917272*spi
Tabla de Contenidos:
  • 1 First order linear differential equations
  • 2 Theory of first order differential equations
  • 3 First order nonlinear differential equations
  • 4 Existence and uniqueness for systems and higher order equations
  • 5 Second Order Equations
  • 6 Higher Order Linear Equations
  • 7 Systems of First Order Equations
  • 8 Qualitative analysis of 2×2 systems and nonlinear second order equations
  • 9 Sturm Liouville eigenvalue theory
  • 10 Solutions by infinite series and Bessel functions
  • 11 Laplace transform
  • 12 Stability Theory
  • 13 Boundary Value problems
  • Appendix A. Numerical methods
  • Answers to Selected Exercises.