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On the existence of positive solutions to systems of neutral functional-differential equations - MaRDI portal

On the existence of positive solutions to systems of neutral functional-differential equations (Q2744529)

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scientific article; zbMATH DE number 1649097
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On the existence of positive solutions to systems of neutral functional-differential equations
scientific article; zbMATH DE number 1649097

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    18 August 2002
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    system of neutral differential equations
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    existence of positive solutions
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    fixed-point theorem
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    On the existence of positive solutions to systems of neutral functional-differential equations (English)
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    Sufficient conditions for the existence of positive solutions to the \(n\)th-order neutral differential system of the form NEWLINE\[NEWLINE(X(t)-pX(t-\tau))^{(m)}+Q(t)X(t-\sigma)=0NEWLINE\]NEWLINE with \(X(t)=(x_{1}(t),x_{2}(t),\dots ,x_{n}(t))^{T}\), \(Q(t)=(q_{ij}(t))_{nn}\) are established.
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