Time dependent Desch-Schappacher type perturbations of Volterra integral equations

Integral Equations and Operator Theory

Volumn 44, Issue 4, 2002, Pages 494-506

  Xiao, Ti Jun ^a,b   Liang, Jin ^a,b   Van Casteren, J ^c  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF ANTWERP   (Belgium)

^c UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036453929     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01193674     Document Type: Article

References (9)

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2. Jung-Chan Chang and Sen-Yen Shaw, Perturbation theory of abstract Cauchy problems and Volterra equations, Nonlinear Analysis, TMA 30 (1997), 3521-3528.
3. G. Da Prato and M. Iannelli, Linear integro-differential equation in Banach space, Rend. Sem. Math. Padova 62 (1980), 207-219.
4. W. Desch and W. Schappacher, Some generation results for perturbed semigroups, in "Trends in Semigroup Theory and Application" (Ph. Clément et al, Eds.), pp. 125-152, Marcel Dekker, New York, 1989.
5. K.-J. Engel and R. Nagel, One-parameter Semigroups and Linear Evolution Equations, GTM, Vol. 194, Springer, Berlin, New York, 2000.
6. L. Maniar and A. Rhandi, Non-Autonomous retarded wave eqations, Tübinger Berichte zur Funktionalanalysis 8 (1998/99), 156-169.
7. 0-semigroups and some applications to step responses and cumulative outputs, J. Funct. Anal. 128 (1995), 315-340.
8. J. Prüss, Evolutionary Integral Equations and Applications, Monographs in Math. Vol 87, Birkhaüser Verlag, New York, 1993.
9. A. Rhandi, Extrapolation methods to solve non-autonomous retarded differential equations, Studia Math. 126 (1997), 219-233.