The paper gives necessary conditions for algebraic ODEs to have complex Pfaffian solutions, examples without real Pfaffian solutions, a sufficient condition for d-irreducibility, and answers to open questions in the area.
A class of systems of transcendental equations.Doklady Akademii Nauk, 255(4):804–807
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Special classes of functions
The paper gives necessary conditions for algebraic ODEs to have complex Pfaffian solutions, examples without real Pfaffian solutions, a sufficient condition for d-irreducibility, and answers to open questions in the area.