In this paper we investigate the singular limiting behavior of slow invariant manifolds for a system of singularly perturbed evolution equations in Banach spaces. The aim is to prove the C$^{1}$ stability of invariant manifolds with respect to small values of the singular parameter.
@article{118735, author = {Daniel \v Sev\v covi\v c}, title = {The C$^1$ stability of slow manifolds for a system of singularly perturbed evolution equations}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {89-107}, zbl = {0821.35011}, mrnumber = {1334417}, language = {en}, url = {http://dml.mathdoc.fr/item/118735} }
Ševčovič, Daniel. The C$^1$ stability of slow manifolds for a system of singularly perturbed evolution equations. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 89-107. http://gdmltest.u-ga.fr/item/118735/
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