Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 893–901
Differentical equations, dynamical systems and optimal control
On some properties of first order algebraic differential equations
A. Y. Yanchenko, V. A. Podkopaeva
National Research University «MPEI», 14, Krasnokazarmennaya str.,
Moskow, 111250, Russia
The paper deals with first-order algebraic differential equations. Installed effective necessary conditions under which such equations have one of the solutions of an entire function finite order. It is also proved that in this case every solution of such an equation is a solution of some linear homogeneous differential equation of a special type.
algebraic differential equation, entire function, linear homogeneous differential equation.
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Received February 15, 2019, published June 25, 2019
A. Y. Yanchenko, V. A. Podkopaeva, “On some properties of first order algebraic differential equations”, Sib. Èlektron. Mat. Izv., 16 (2019), 893–901
Citation in format AMSBIB
\by A.~Y.~Yanchenko, V.~A.~Podkopaeva
\paper On some properties of first order algebraic differential equations
\jour Sib. \`Elektron. Mat. Izv.
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