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math.CA2014
Existence of Nontrivial Negative Resonances for Polynomial Ordinary Differential Equations With Painlevé Property
Stanislav Sobolevsky
The Painlevé classification is one of the central problems in analytics theory of differential equations rooted in the XIX century. Although it saw many significant advances in ana…
math.CA2014
Painleve Classification of Polynomial Ordinary Differential Equations of Arbitrary Order and Second Degree
Stanislav Sobolevsky
The problem of Painleve classification of ordinary differential equations lasting since the end of XIX century saw significant advances for the limited equation order, however not…