Browse Journals

[1] W. Arendt, C. J. K. Batty, M. Hieber and F. Neubrander, Vector-Valued Laplace Transforms and Cauchy Problems, Birkhauser Ulm and Oxford and Darmstadt and Batton Rouge, 2010.

DOI: https://doi.org/10.1007/978-3-0348-0087-7

[2] W. Arendt and H. Kellermann, Integrated Solutions of Volterra Integrodifferential Equations and Applications, in Pitman Research Notes in Mathematics, Logman, Harlow/New York 190 (1987), 21-51.

[3] H. Bounit and A. Fadili, Favard spaces and admissibility for Volterra systems with scalar kernel, Electronic Journal of Differential Equations (2015); Article 42, pp. 1-21.

[4] H. Bounit, F. Maragh and H. Hammouri, A class of weakly regular  linear systems, European Journal of Control 23 (2015), 8-16.

DOI:https://doi.org/10.1016/j.ejcon.2015.02.001

[5] P. L. Butzer and H. Berens, Semi-Groups of Operators and Approximation, Springer-Verlag, New York, 1967.

DOI: https://doi.org/10.1007/978-3-642-46066-1

[6] I. Cioranescu, Local Convoluted Semigroups, Lecture Notes on Pure and Applied Mathematics, Marcel Dekker, New York 168 (1995), 107-122.

[7] I. Cioranescu and V. Keyantuo, On operator cosine functions in UMD spaces, Semigroup Forum 63(3) (2001), 429-440.

DOI: https://doi.org/10.1007/s002330010086

[8] W. Desch and J. Pruss, Counterexamples for abstract linear Volterra equations, Journal of Integral Equations and Applications (5)1 (1993), 29-45.

[9] W. Desch and W. Schappacher, Some Generation Results for Perturbed Semigroups, in Semigroups Theory and Applications, (Proceedings Trieste 1987); (P. Clément, S. Invernizzi, E. Mitidieri and I. I. Vrabie, Editors), Marcel Dekker, Lecture Notes on Pure and Applied Mathematics 116 (1989), 125-152.

[10] K. J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, New York, Berlin, Heidelberg, 2000.

[11]    R. Grimmer and J. Prüss, On linear Volterra equations in Banach spaces, Computers & Mathematics with Applications 11(1-3) (1985), 189-205.

DOI: https://doi.org/10.1016/0898-1221(85)90146-4  

[12] Matthias Hieber, Integrated semigroups and differential operators on  spaces, Mathematische Annalen 291(1) (1991), 1-16.

DOI: https://doi.org/10.1007/BF01445187

[13] G. Lumer and I. Cioranescu, On K(t)-convoluted semigroups, Pitman Research Notes in Mathematics 324 (1995), 86-93.

[14] M. Jung, Duality theory for solutions to Volterra integral equations, Journal of Mathematical Analysis and Applications 230(1) (1999), 112-134.

DOI: https://doi.org/10.1006/jmaa.1998.6174

[15] H. Kellerman and M. Hieber, Integrated semigroups, Journal of Functional Analysis 84(1) (1989), 160-180.

DOI: https://doi.org/10.1016/0022-1236(89)90116-X

[16] C. Lizama, Regularized solutions for abstract Volterra equations, Journal of Mathematical Analysis and Applications 243(2) (2000), 278-292.

DOI: https://doi.org/10.1006/jmaa.1999.6668

[17] C. Lizama and V. Poblete, On multiplicative perturbation of integral resolvent families, Journal of Mathematical Analysis and Applications 327(2) (2007), 1335-1359.

DOI: https://doi.org/10.1016/j.jmaa.2006.04.087

[18] C. Lizama and H. Prado, On duality and spectral properties of (a, k)-regularized resolvents, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 139(3) (2009), 505-517.

DOI: https://doi.org/10.1017/S0308210507000364

[19] C. Lizama and J. Sanchez, On perturbation of k-regularized resolvent families, Taiwanese Journal of Mathematics 7(2) (2003), 217-227.

DOI: https://doi.org/10.11650/twjm/1500575059

[20] F. Maragh, H. Bounit, A. Fadili and H. Hammouri, On the admissible control operators for linear and bilinear systems and the Favard spaces, Bulletin of the Belgian Mathematical Society 21(4) (2014), 711-732.

DOI: https://doi.org/10.36045/bbms/1414091010

[21] J. M. A. M. Van Neerven, The Adjoint of a Semigroup of Linear Operators, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1992.

DOI: https://doi.org/10.1007/BFb0085008

[22] J. Prüss, On linear Volterra equations of parabolic type in Banach spaces, Transactions of the American Mathematical Society 301(2) (1987), 691-721.

DOI: https://doi.org/10.2307/2000666

[23] J. Prüss, Evolutionary Integral Equations and Applications, Birkhäuser-Verlag, Basel, 1993.

DOI: https://doi.org/10.1007/978-3-0348-8570-6

[24] E. Sinestrari, Favard classes and hyperbolic equations, Rendiconti dell’Istituto di Matematica dell’Università di Trieste 28 (1997), 323-336.

[25] Michiaki Watanabe, A new proof of the generation theorem of cosine families in Banach spaces, Houston Journal of Mathematics 10(2) (1984), 285-290.