Oscillatory behavior in linear retarded functional differential equations (Q1107705)

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scientific article; zbMATH DE number 4065478
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Oscillatory behavior in linear retarded functional differential equations
scientific article; zbMATH DE number 4065478

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    Oscillatory behavior in linear retarded functional differential equations (English)
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    1987
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    The purpose of this paper is to investigate oscillatory properties for linear retarded functional differential systems \(\dot x(t)=\int^{0}_{-r}[d\eta (\theta)]x(t+\theta)\) and linear differential-difference system \(\dot x(t)=A_ 0x(t)+\sum^{p}_{j=1}A_ jx(t-r_ j).\) Conditions are obtained when all solutions of autonomous and nonautonomous functional differential equations are oscillatory.
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    oscillatory properties
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    linear retarded functional differential systems
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    linear differential-difference system
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    nonautonomous functional differential equations
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