An inequality concerning the growth bound of an evolution family and the norm of a convolution operator

Author:

Buşe Constantin,O’Regan Donal,Saierli Olivia

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference26 articles.

1. Arendt, W., Batty, Ch J.K., Hieber si, M., Neubrabder, F.: Vector-valved Laplace transforms and cauchy problems, 2nd edn. Birkhuser, Basel (2011)

2. Buşe, C.: On the Perron-Bellman theorem for evolutionary processes with exponential growth in Banach spaces. NZ J Math Auckland 27, 183–190 (1998)

3. Buşe, C.: The spectral mapping theorem for evolution semigroups on the space of asymptotically almost periodic functions defined on the half line. Elect J Diff Eq 2002(70), 1–11 (2002)

4. Buşe, C., Khan, A., Rahmat, G., Tabassum, A.: A new estimation of the growth bound of a periodic evolution family on Banach spaces, J Funct Spaces Appl. 2013(260290), 6 doi: 10.1155/2013/260920

5. Buşe, C., Khan, A., Rahmat, G.: Uniform exponential stability for discrete non-autonomous systems via discrete evolution semigroups. Bull. Math. Soc. Sci. Math. Roumanie, Tome 57(105)(2), 193–205 (2014)

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