On the limiting periodicity of solutions of some Volterra systems

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作者
Kolmanovskij, V.B. [1 ]
机构
[1] MIEM, Moscow, Russia
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Control - Difference equations - Lyapunov methods - Theorem proving;
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摘要
The conditions of periodicity of solutions of the Volterra systems are found that are formulated directly in the terms of the coefficients of considered equations and their resolvents. The limiting periodicity conditions are obtained with the help of the compressed mappings principle and the Lyapunov second method. Earlier these conditions were obtained only for scalar equations of the convolution type.
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页码:36 / 43
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