Analytic solutions of nonlinear neutral and advanced differential equations (Q1077601)

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scientific article; zbMATH DE number 3957648
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Analytic solutions of nonlinear neutral and advanced differential equations
scientific article; zbMATH DE number 3957648

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    Analytic solutions of nonlinear neutral and advanced differential equations (English)
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    1986
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    Summary: A study is made of local existence and uniqueness theorems for analytic solutions of nonlinear differential equations of neutral and advanced types. These results are of special interest for advanced equations whose solutions, in general, lose their margin of smoothness. Furthermore, existence of entire solutions is established for linear advanced differential systems with polynomial coefficients.
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    first order differential equation
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    neutral differential equation
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    advanced differential equation
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    local existence
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    uniqueness theorems
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    analytic solutions
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