Abstract
To study the solutions of the equation (τuτ)τ=eu−eu which is a version of the “degenerate” third Painlevé equation we consider a linear ordinary differential equation in 3×3 matrices. By means of the monodromy data of this linear equation we parametrize the asymptotics of all solutions as τ→0, as well as the asymptotics of regular solutions of the nonlinear equation studied as τ→±∞.
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