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

Shun Shimomura

研究成果: Article

3 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)581-595
ページ数15
ジャーナルTohoku Mathematical Journal
60
発行部数4
DOI
出版物ステータスPublished - 2008 12 1

ASJC Scopus subject areas

  • Mathematics(all)

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