A spectral mapping theorem for semigroups solving PDEs with nonautonomous past.
Fragnelli, Genni (2003)
Abstract and Applied Analysis
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Fragnelli, Genni (2003)
Abstract and Applied Analysis
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Markin, Marat V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Elkoutri, Abdelkader, Taoudi, Mohamed Aziz (2003)
International Journal of Mathematics and Mathematical Sciences
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Markin, Marat V. (2002)
International Journal of Mathematics and Mathematical Sciences
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Yuri Tomilov (1999)
Studia Mathematica
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Some statements of the paper [4] are corrected.
Timothy Randolph, Paul Patterson (1994)
Studia Mathematica
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Ki Sik Ha (1989)
Semigroup forum
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Heydar Radjavi (1997)
Banach Center Publications
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Phóng Vũ (1999)
Studia Mathematica
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A characterization of exponentially dichotomic and exponentially stable -semigroups in terms of solutions of an operator equation of Lyapunov type is presented. As a corollary a new and shorter proof of van Neerven’s recent characterization of exponential stability in terms of boundedness of convolutions of a semigroup with almost periodic functions is given.