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

N. Joshi, A. V. Kitaev

We develop a qualitative theory for real solutions of the equation $y^{\prime \prime }=6y^2-x$. In this work a restriction $x\le 0$ is assumed. An important ingredient of our theory is the intro…