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Weakly nonlinear boundary value problems for impulsive systems with small concentrated delays of the argument - MaRDI portal

Weakly nonlinear boundary value problems for impulsive systems with small concentrated delays of the argument (Q2782061)

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scientific article; zbMATH DE number 1727537
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Weakly nonlinear boundary value problems for impulsive systems with small concentrated delays of the argument
scientific article; zbMATH DE number 1727537

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    14 April 2002
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    impulsive system
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    small delay of the argument
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    weakly nonlinear boundary value problem
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    Weakly nonlinear boundary value problems for impulsive systems with small concentrated delays of the argument (English)
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    The authors consider a nonlinear boundary value problem for impulsive systems of ordinary differential equations with concentrated delays of general form. It is assumed that the number of boundary conditions does not coincide with the order of the system. Under some assumptions, an equation for the generating amplitudes is obtained. Moreover, sufficient conditions for the existence of a solution are established.
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