Lyapunov's functions and existence of integral manifolds for impulsive differental systems with time-varying delay (Q982733)

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scientific article; zbMATH DE number 5761637
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Lyapunov's functions and existence of integral manifolds for impulsive differental systems with time-varying delay
scientific article; zbMATH DE number 5761637

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    Lyapunov's functions and existence of integral manifolds for impulsive differental systems with time-varying delay (English)
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    27 July 2010
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    The existence of integral manifolds is proved for the equation \[ x'(t)=f(t,x(t),x(t-h(t)), \quad t \geq t_0, \] with \(x(t)\) known for \(t\leq t_0\) and with impulses at fixed moments given.
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    integral manifold
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    impulsive differential systems
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    time-varying delay
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