ʗm-smoothness of invariant fiber bundles for dynamic equations on measure chains
نویسندگان
چکیده
منابع مشابه
m-SMOOTHNESS OF INVARIANT FIBER BUNDLES FOR DYNAMIC EQUATIONS ON MEASURE CHAINS
We present a new self-contained and rigorous proof of the smoothness of invariant fiber bundles for dynamic equations on measure chains or time scales. Here, an invariant fiber bundle is the generalization of an invariant manifold to the nonautonomous case. Our main result generalizes the “Hadamard-Perron theorem” to the time-dependent, infinitedimensional, noninvertible, and parameter-dependen...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2004
ISSN: 1687-1847
DOI: 10.1155/s1687183904308010