Qualitative analysis of the Cauchy problem \(F(t,x,x')=0, x(0)=0\) (Q941999)

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scientific article; zbMATH DE number 5319795
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Qualitative analysis of the Cauchy problem \(F(t,x,x')=0, x(0)=0\)
scientific article; zbMATH DE number 5319795

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    Qualitative analysis of the Cauchy problem \(F(t,x,x')=0, x(0)=0\) (English)
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    3 September 2008
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    The authors undertake an attempt to find continuously differentiable solutions to the considered Cauchy problem under some assumptions on \(F\). The methods of the qualitative theory of differential equations are used. They also study the problem of the number of solutions of a given form.
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    implicit equations
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    initial value problems
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    asymptotic
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