Periodic solutions of a system with impulsive action at nonfixed times (Q2440059)

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Periodic solutions of a system with impulsive action at nonfixed times
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    Periodic solutions of a system with impulsive action at nonfixed times (English)
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    27 March 2014
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    An impulsive system with two points of discontinuity at nonfixed times is studied. Some conditions for the existence of \(2\pi\)-periodic solutions are obtained. The conditions are related to the coefficients and the functions of the given system. The proofs are based on the Krylov-Bogolyubov method of averaging and some results of numerical analytic methods.
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    impulsive systems
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    \(2\pi\)-periodic solutions
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    averaging method
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