The Dirichlet Boundary Value Problem for Real Solutions of the first Painlevé Equation on Segments on Non-Positive Semi-Axis

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dc.creatorJoshi, N.
dc.creatorKitaev, A. V.
dc.date2004-07-26
dc.date.accessioned2026-07-07T05:10:41Z
dc.date.available2026-07-07T05:10:41Z
dc.descriptionWe develop a qualitative theory for real solutions of the equation $y''=6y^2 -x$. In this work a restriction $x\leq0$ 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 $a<b\leq0$.
dc.descriptionTo appear in Journal fur die reine und angewandte Mathematik (Crelle's Journal)
dc.identifierhttps://arxiv.org/abs/math/0407432
dc.identifierhttp://arxiv.org/abs/math/0407432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72001
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject33E17;34M55;34B15
dc.titleThe Dirichlet Boundary Value Problem for Real Solutions of the first Painlevé Equation on Segments on Non-Positive Semi-Axis
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