Meromorphic solutions of some second order differential equations (Q1318948)

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scientific article; zbMATH DE number 549044
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Meromorphic solutions of some second order differential equations
scientific article; zbMATH DE number 549044

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    Meromorphic solutions of some second order differential equations (English)
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    1 November 1994
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    The relation between meromorphic solutions of a Riccati equation \(u' + u^ 2 + A(z) = 0\) \((A(z)\) is a meromorphic function) and meromorphic solutions of some second order nonlinear differential equation, by the properties of solutions of some linear self-adjoint third order differential equation is investigated.
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    meromorphic solutions
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    Riccati equation
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    second order nonlinear differential equation
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    linear self-adjoint third order differential equation
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