On perturbation of k-regularized resolvent families

Taiwanese Journal of Mathematics

Volumn 7, Issue 2, 2003, Pages 217-227

  Lizama, Carlos ^a   Sánchez, Justine ^a  

^a UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

Additive perturbation; Generator; K regularized resolvent families

Indexed keywords

EID: 19044391698     PISSN: 10275487     EISSN: None     Source Type: Journal    
DOI: 10.11650/twjm/1500575059     Document Type: Article

References (11)

1. J.-C.Chang and S.-Y. Shaw, Rates of approximation and ergodic limits of resolvent families, Arch. Math. 66 (1996), 320-330.
2. J.-C.Chang and S.-Y. Shaw, Optimal and non-optimal rates of approximation for integrated semigroups and cosine functions, J. Approximation Theory 90 (1997), 200-223.
3. p spaces. Math. Ann. 291 (1991), 1-16.
4. M. Jung, Duality theory for solutions to Volterra integral equations J. Math. Anal. and Appl. 230 (1999), 112-134.
5. M. Kim, Remarks on Volterra equations in Danach spaces, Comm. Korean Math. Soc. 12(4) (1997), 1039-1064.
6. H. Liu and S.-Y. Shaw, Rates of local ergodic limits of n-times integrated solution families, Progress in Nonlinear Differential Equations and Their Applications, Vol. 42, Birkhäuser Verlag, 2000, pp. 192-202.
7. C. Lizama, Regularized solutions for abstract Volterra equations, J. Math. Anal. and Appl. 243 (2000), 278-292.
8. C. Lizama, On approximation and representation of k-regularized resolvent families, Int. Eq. Operator Theory 41(2) (2001), 223-229.
9. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences, vol. 44, Springer, 1983.
10. J. Prüss, Evolutionary Integral Equations and Applications. Monographs in Mathematics, vol. 87, Birkäuser, Basel/Boston/Berlin, 1993.
11. A. Rhandi, Positive perturbations of linear Volterra equations and sine functions of operators, J. Integral Equations and Appl., vol. 4(3), (1992), 409-420.