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

• Κύριος συγγραφέας: Delabaere, Eric (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Lecture Notes in Mathematics, 2155
• Θέματα: Mathematics.; Functions of complex variables.; Differential equations.; Sequences (Mathematics).; Special functions.; Sequences, Series, Summability.; Ordinary Differential Equations.; Functions of a Complex Variable.; Special Functions.

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 equation...

Πίνακας περιεχομένων:

• 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.