PERRON CONDITIONS AND UNIFORM EXPONENTIAL STABILITY OF LINEAR SKEW-PRODUCT SEMIFLOWS ON LOCALLY COMPACT SPACES
Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2
M. Megan; A. L. Sasu; B. Sasu. PERRON CONDITIONS AND UNIFORM EXPONENTIAL
STABILITY OF LINEAR SKEW-PRODUCT SEMIFLOWS
ON LOCALLY COMPACT SPACES. Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a7/
@article{AMUC_2001_70_2_a7,
     author = {M. Megan and A. L. Sasu and B. Sasu},
     title = {PERRON {CONDITIONS} {AND} {UNIFORM} {EXPONENTIAL
STABILITY} {OF} {LINEAR} {SKEW-PRODUCT} {SEMIFLOWS
ON} {LOCALLY} {COMPACT} {SPACES}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2001},
     volume = {70},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a7/}
}
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STABILITY OF LINEAR SKEW-PRODUCT SEMIFLOWS
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STABILITY OF LINEAR SKEW-PRODUCT SEMIFLOWS
ON LOCALLY COMPACT SPACES
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The aim of this paper is to give necessary and sufficient conditions for uniform exponential stability of linear skew-product semiflows on locally compact metric spaces with Banach fibers. Thus, there are obtained generalizations of some theorems due to Datko, Neerven, Clark, Latushkin, Montgomery-Smith, Randolph, van Minh, Rabiger and Schnaubelt.