Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

See all formats and pricing
More options …
Volume 2005, Issue 583


The Dirichlet boundary value problem for real solutions of the first Painlevé equation on segments in non-positive semi-axis

N. Joshi / A. V. Kitaev
Published Online: 2005-11-07 | DOI: https://doi.org/10.1515/crll.2005.2005.583.29


We develop a qualitative theory for real solutions of the equation y” = 6y 2 − x. In this work a restriction x ≦ 0 is assumed. An important ingredient of our theory is the introduction of several new transcendental functions of one, two, and three variables that describe different properties of the solutions. In particular, the results obtained allow us to completely analyse the Dirichlet boundary value problem y(a) = y 0, y(b) = y 0 for a < b ≦ 0.

About the article

Received: 13. März 2003

Published Online: 2005-11-07

Published in Print: 2005-06-27

Citation Information: Journal für die reine und angewandte Mathematik, Volume 2005, Issue 583, Pages 29–86, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crll.2005.2005.583.29.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

A.A. Abramov and L.F. Yukhno
Applied Numerical Mathematics, 2015, Volume 93, Page 262
Tom Claeys, Igor Krasovsky, and Alexander Its
Communications on Pure and Applied Mathematics, 2009, Page NA

Comments (0)

Please log in or register to comment.
Log in