Nonlinear differential equations of second Painleve type with the quasi-Painleve property along a rectifiable curve

スポンサーリンク

概要

• 論文の詳細を見る

• We present a class of nonlinear differential equations of second Painlevé type. These equations, with a single exception, admit the quasi-Painlevé property along a rectifiable curve, that is, for general solutions, every movable singularity defined by a rectifiable curve is at most an algebraic branch point. Moreover we discuss the global many-valuedness of their solutions. For the exceptional equation, by the method of successive approximation, we construct a general solution having a movable logarithmic branch point.

• 東北大学の論文
• 2008-12-00

著者

• Shimomura Shun

  Department Of Mathematics Faculty Of Science And Technology Keio University

関連論文

• Riccati differential equations with elliptic coefficients II
• Proofs of the Painleve property for all Painleve equations
• Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function Ф_2 II. Behaviour near (∞, ∞) in P^1(C)×P^1(C)
• On a generalized Bessel function of two variables II. Case of coalescing saddle points
• Poles and $\alpha$-points of Meromorphic Solutions of the First Painleve Hierarchy
• ASYMPTOTIC SOLUTIONS OF A DEGENERATE GARNIER SYSTEM OF THE FIRST PAINLEVE TYPE(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)
• Continuous limit of the difference second Painlevé equation and its asymptotic solutions
• Nonlinear differential equations of second Painleve type with the quasi-Painleve property along a rectifiable curve

スポンサーリンク