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Title: A note on stability properties of integrated semigroups (English)
Author: Rastović, Danilo
Language: English
Journal: Acta Mathematica et Informatica Universitatis Ostraviensis
ISSN: 1211-4774
Volume: 3
Issue: 1
Year: 1995
Pages: 61-(65)
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Category: math
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MSC: 34D20
MSC: 34G10
MSC: 47D06
idZBL: Zbl 0863.47025
idMR: MR1474067
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Date available: 2009-01-30T09:02:20Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120495
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Reference: [2] Oharu S.: Semigroups of Linear Operators in a Banach Space.Publ. RIMS Kyoto Univ. 7 (1971/72), 205-260. Zbl 0234.47042, MR 0312323, 10.2977/prims/1195193542
Reference: [3] Walker J. A.: On the Application of Lyapunov Direct Method to Linear Dynamical Systems.Journal of Math. Anal. Appl. 53 (1976), 187-220. MR 0410023, 10.1016/0022-247X(76)90104-9
Reference: [4] Neubrandeг F.: Integrated Semigroups and their Applications to the Abstract Cauchy Problem.Pac. J. Math. 1, 135 (1986), 111-155. MR 0965688
Reference: [5] Tanaka N.: On the exponentially Bounded C-semigroups.Tokyo J. Math. 1, 10 (1987), 107-117. Zbl 0631.47029, MR 0899475, 10.3836/tjm/1270141795
Reference: [6] Nicaise S.: The Hille-Yosida and Trotter-Kato theorems for Integrated Semigroups.Journal of Math. Anal. Appl. 180 (1993), 303-316. Zbl 0791.47035, MR 1251861, 10.1006/jmaa.1993.1402
Reference: [7] Miyadera I.: On the Generators of Exponentially Bounded C-semigroups.Proc. Japan Acad. 62A (1986), 239-242. Zbl 0617.47032, MR 0868808
Reference: [8] Okazawa N.: A Generation Theorem for Semigroups of Growth Order $\alpha$.Tohoku Math. J. 26 (1974), 39-51. Zbl 0282.47011, MR 0336445, 10.2748/tmj/1178241232
Reference: [9] Thieme H. R.: Integrated Semigroups and Integrated Solution to Abstract Cauchy Problems.Journal of Math. Anal. Appl. 152, 2 (1990), 416-447. MR 1077937, 10.1016/0022-247X(90)90074-P
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