Neutral integral equations of retarded type (Q1582087)

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scientific article; zbMATH DE number 1512495
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Neutral integral equations of retarded type
scientific article; zbMATH DE number 1512495

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    Neutral integral equations of retarded type (English)
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    11 May 2001
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    The authors study the solvability problem for the system \[ x^\prime=\alpha x^\prime (t-h)+ax-q(t,x,y,x(t-h),y(t-h)), \] \[ y^\prime=\beta y^\prime (t-h)-ky -r(t,x,y,x(t-h),y(t-h)), \] by reducing this system to an integral equation of retarded type.
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    contraction mapping theorems
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    Lyapunov functions
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    fixed point
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    neutral integral equations of retarded type
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