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nlin.SI2021
Integral formulas for Painlevé-2 transcendent
O. M. Kiselev
In the work we use integral formulas for calculating the monodromy data for the Painlevé-2 equation. The perturbation theory for the auxiliary linear system is constructed and form…
math.CA2021★ 1 cited
Subresonant solutions of the linear oscillator equation
P. Y. Astafyeva, O. M. Kiselev
The behavior of a linear oscillator under the action of an external almost periodic force is investigated. The constructed solutions grow more slowly than the resonant ones. The de…