Original scientific paper

https://doi.org/10.3336/gm.51.2.07

Perron type theorems for skew-evolution semiflows

Ciprian Preda ; Department of Economics and Business Modeling, Faculty of Economics and Business Administration, West University of Timişoara, 300115 Timişoara, Romania
Sebastian Rămneanţu ; Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, 300115 Timişoara, Romania
Raluca Mureşan ; Department of Computer Science, Faculty of Mathematics and Computer Science, West University of Timişoara, 300115 Timişoara, Romania

Abstract

In the present paper we obtain some results for the asymptotic behavior of a large class of evolution families. Our approach uses the admissibility method initiated by O. Perron in the 1930's but the test functions that we choose are different from those employed in the case of differential systems.

Keywords

Linear skew-evolution semiflow; evolution cocycle; uniform exponential stability; nonuniform exponential stability; Perron method

Hrčak ID:

170043

URI

https://hrcak.srce.hr/170043

Publication date:

3.12.2016.

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