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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

Online
ISSN
1435-5345
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Volume 2005, Issue 583

Issues

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

Abstract

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.

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[2]
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