Divergent Series, Summability and Resurgence III Resurgent Methods and the First Painlevé Equation /

The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equatio...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Delabaere, Eric (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Lecture Notes in Mathematics, 2155
Temas:
Sequences (Mathematics).
Differential equations.
Functions of complex variables.
Special functions.
Sequences, Series, Summability.
Differential Equations.
Functions of a Complex Variable.
Special Functions.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Avant-Propos
  • Preface to the three volumes
  • Preface to this volume
  • Some elements about ordinary differential equations
  • The first Painlevé equation
  • Tritruncated solutions for the first Painlevé equation
  • A step beyond Borel-Laplace summability
  • Transseries and formal integral for the first Painlevé equation
  • Truncated solutions for the first Painlevé equation
  • Supplements to resurgence theory
  • Resurgent structure for the first Painlevé equation
  • Index.

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