Basic Theory of Ordinary Differential Equations (Relié)

Yasutaka Sibuya, Po-Fang Hsieh

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  • Springer

  • Paru le : 12/10/1999
  • 1 million de livres à découvrir
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The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fundamental existence, uniqueness, and smoothness with respect to data, as well as nonuniqueness. The second part describes the basic results concerning linear differential equations, and the third deals with nonlinear equations. In the last part, the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history. The book has 114 illustrations and 206 exercises. Hints and comments for many problems are given.
    • Fundamental Theorems of Ordinary Differential Equations
    • Dependence on Data
    • Nonuniqueness
    • General Theory of Linear Systems
    • Singularities of the First Kind
    • Boundary-Value Problems of Linear Differential Equations of the Second-Order
    • Asymptotic Behavior of Solutions of Linear Systems
    • Stability
    • Autonomous Systems
    • The Second-Order Differential Equation
    • Asymptotic Expansions
    • Asymptotic Expansions in a Parameter
    • Singularities of the Second Kind.
  • Date de parution : 12/10/1999
  • Editeur : Springer
  • Collection : universitext
  • ISBN : 0-387-98699-5
  • EAN : 9780387986999
  • Présentation : Relié
  • Nb. de pages : 468 pages
  • Poids : 0.835 Kg
  • Dimensions : 16,2 cm × 24,3 cm × 2,8 cm

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Yasutaka Sibuya et Po-Fang Hsieh - Basic Theory of Ordinary Differential Equations.
Basic Theory of Ordinary Differential Equations
70,40 €
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