A characterization of uniform continuity for volterra equations in hilbert spaces

Proceedings of the American Mathematical Society

Volumn 126, Issue 12, 1998, Pages 3581-3587

  Lizama, Carlos ^a  

^a UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

Laplace transform; Resolvent equation; Uniform continuity; Volterra equations

Indexed keywords

EID: 22444454861     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04594-8     Document Type: Article

References (5)

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3. J. Liang and T. Xiao, Norm continuity (for t 0 ) of propagators of arbitrary order abstract differential equations in Hilbert spaces, J. Math. Anal. Appl. 204 (1996), 124-137. MR 97h:34077
4. J. Priiss, Evolutionary Integral Equations and Applications, Birkhauser-Verlag, Basel, Boston, Berlin, 1993. MR 94h:45010
5. P. You, Characteristic conditions for a Co-semigroup with continuity in the uniform operator topology for t > 0 in Hilbert space, Proc. Amer. Math. Soc. 116 (1992), 991-997. MR 93b:47083