Spectral inclusions and stability results for strongly continuous semigroups.
Elkoutri, Abdelkader, Taoudi, Mohamed Aziz (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Elkoutri, Abdelkader, Taoudi, Mohamed Aziz (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Jaromír J. Koliha, Trung Dinh Tran (2003)
Czechoslovak Mathematical Journal
Similarity:
We study a class of closed linear operators on a Banach space whose nonzero spectrum lies in the open left half plane, and for which is at most a simple pole of the operator resolvent. Our spectral theory based methods enable us to give a simple proof of the characterization of -semigroups of bounded linear operators with asynchronous exponential growth, and recover results of Thieme, Webb and van Neerven. The results are applied to the study of the asymptotic behavior of the solutions...
Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
Similarity:
Janfada, Mohammad (2009)
Abstract and Applied Analysis
Similarity:
Mastinšek, M. (1994)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Chung-Cheng Kuo, Sen-Yen Shaw (2000)
Studia Mathematica
Similarity:
This paper is concerned with α-times integrated C-semigroups for α > 0 and the associated abstract Cauchy problem: , t >0; u(0) = 0. We first investigate basic properties of an α-times integrated C-semigroup which may not be exponentially bounded. We then characterize the generator A of an exponentially bounded α-times integrated C-semigroup, either in terms of its Laplace transforms or in terms of existence of a unique solution of the above abstract Cauchy problem for every x...
D. Monk, F. Sioson (1966)
Fundamenta Mathematicae
Similarity:
Yuri Tomilov (1999)
Studia Mathematica
Similarity:
Some statements of the paper [4] are corrected.