The stability of solutions of nonlinear almost periodic systems of delay functional-differential equations (Q1589175)

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scientific article; zbMATH DE number 1541585
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The stability of solutions of nonlinear almost periodic systems of delay functional-differential equations
scientific article; zbMATH DE number 1541585

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    The stability of solutions of nonlinear almost periodic systems of delay functional-differential equations (English)
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    7 December 2000
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    A result concerning the stability of the trivial solution to the delayed functional-differential system \[ \dot x(t)=f(t,x_t) \] is proved. The method used is a modification of the method developed by \textit{S. M. Dobrovol'skii} and \textit{R. K. Romanovskii} [Math. Notes 62, No. 1, 126--128 (1997); translation from Mat. Zametki 62, No. 1, 151--153 (1997; Zbl 0919.93069)].
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    functional-differential equations
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    stability
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    almost-periodic system
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