Generalizon of a theorem of Datko and Pazy for Co-quasisemigroups

• Autorzy: Cuc V.
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider dichotomic behaviors of Co-quasisemigroups in Banach spaces. The obtained results generalize the similar theorems obtained by Datko and Pazy for exponential stability and Preda and Megan for the exponential dichotomy of Co-semigroups, respectively.

Słowa kluczowe

EN

Co-quasisemigroup; exponential dichotomy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 3
• Strony: 577--586
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Cuc V.

• Dipartment of Mathematics Seminar of Mathematical Analysis University of The West Bul. V.Parvan nr 4 1900 Timisoara, Romania

Bibliografia

• [1] V. Cue: On the exponentially bounded C0-quasisemigroups, An. Univ. Timişoara, Ser. Mat. - Inform. 35 fasc. 2 (1997), 193-199.
• [2] R. Datko: Extending a theorem of A. M. Lyapunov to Hilbert space, J. Math. Anal. Appi. 32 (1970), 610-616.
• [3] H. Leiva, D. Barcenas: C0-quasisemigroups, evolution Equations and Controllability, Notas de Matematica, Universidad de Los Andes 109 (1991).
• [4] M. Megan, V. Cue: On exponential stability of C0-quasisemigroups in Banach space, Matematiche (Catania) vol 55, fasc.1 (2000).
• [5] M. Megan, V. Cue: On stability of C0-quasisemigroups in Banach spaces, An. Univ. Timişoara, 37 fasc. 2 (1998), 255-262.
• [6] A. Pazy: On the applicability of Lyapunov's theorem in Hilbert spaces, SIAM. J. Math. Anal. 3 (1972), 291-294.
• [7] P. Preda, M. Megan: Exponential dichotomy of strongly continuous semigroups, Bull. Austral. Math. Soc. vol. 30 (1984), 435-448.