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Uniform boundedness and uniform ultimate boundedness of functional differential equations with unbounded delay - MaRDI portal

Uniform boundedness and uniform ultimate boundedness of functional differential equations with unbounded delay (Q1093072)

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scientific article; zbMATH DE number 4021653
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Uniform boundedness and uniform ultimate boundedness of functional differential equations with unbounded delay
scientific article; zbMATH DE number 4021653

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    Uniform boundedness and uniform ultimate boundedness of functional differential equations with unbounded delay (English)
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    1987
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    The author uses the Lyapunov direct method, comparison method and ``forgetful'' functional to prove four general theorems about the uniform boundedness of the solutions of functional differential equations with infinite delay. Also, these results are effectively applied to Volterra integral-differential equations.
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    Lyapunov direct method
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    comparison method
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    uniform boundedness
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    functional differential equations with infinite delay
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    Volterra integral- differential equations
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