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20112025
most citedNon-integrability of the second Painleve equation as a Hamiltonian system

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math.CA2016

Zero level perturbation of a certain third-order linear solvable ODE with an irregular singularity at the origin of Poincaré rank 1

Tsvetana Stoyanova

We study an irregular singularity of Poincaré rank 1 at the origin of a certain third-order linear solvable homogeneous ODE. We perturb the equation by introducing a small paramete…