Composition of pseudo almost periodic functions and Cauchy problems with operator of non dense domain
Amir, B. ; Maniar, L.
Annales mathématiques Blaise Pascal, Tome 6 (1999), p. 1-11 / Harvested from Numdam
Publié le : 1999-01-01
@article{AMBP_1999__6_1_1_0,
     author = {Amir, B. and Maniar, L.},
     title = {Composition of pseudo almost periodic functions and Cauchy problems with operator of non dense domain},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {6},
     year = {1999},
     pages = {1-11},
     mrnumber = {1693142},
     zbl = {0941.34059},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_1999__6_1_1_0}
}
Amir, B.; Maniar, L. Composition of pseudo almost periodic functions and Cauchy problems with operator of non dense domain. Annales mathématiques Blaise Pascal, Tome 6 (1999) pp. 1-11. http://gdmltest.u-ga.fr/item/AMBP_1999__6_1_1_0/

[1] Ait Dads, E. ; Ezzinbi, K. ; Arino, O. : Pseudo almost periodic solutions for some differential equations in a Banach space, Nonlinear Analysis, Theory, Methods & Applications, Vol. 28, No 7, (1997), pp. 1141-1155. | MR 1422806 | Zbl 0874.34041

[2] Amann, H. : Linear and Quasilinear Parabolic Problems. Birkhäuser, Berlin 1995. | MR 1345385 | Zbl 0819.35001

[3] Amir, B. ; Maniar, L.: Application de la théorie d'extrapolation pour la résolution des équations différentielles à retard homogènes. Extracta Mathematicae Vol13, Núm.1, 95-105 (1998). | MR 1652521 | Zbl 1004.47025

[4] Da Prato, G. ; Grisvard, E.: On extrapolation spaces. Rend. Accad. Naz. Lincei. 72 (1982), pp. 330-332. | MR 726298 | Zbl 0527.46055

[5] Da Prato, G. ; Sinestrari, E.: Differential operators with non dense domain, Annali Scuola Normale Superiore Pisa 14 (1989), pp. 285-344. | Numdam | MR 939631 | Zbl 0652.34069

[6] Fink, A.M.: Almost Periodic Differential Equations, Lectures Notes in Mathematics 377, Springer-Verlag, 1974. | MR 460799 | Zbl 0325.34039

[7] Hille, E. ; Phillips, R.S.: Functional Analysis and Semigroups. Amer. Math. Soc. Providence 1975. | Zbl 0392.46001

[8] Maniar, L. ; Rhandi, A.: Inhomogeneous retarded differential equation in infinite dimensional space via extrapolation spaces. To appear in Rendiconti Del Circolo Mathematico Di Palerm, Vol.17 (1998). | MR 1633503 | Zbl 0916.34065

[9] Nagel, R.: One Parameter Semigroups of Positive Operators. Lecture Notes in Mathematics 1184, Springer-Verlag 1986. | MR 839450 | Zbl 0585.47030

[10] Nagel, R.: Sobolev spaces and semigroups,Semesterberichte Funktionalanalysis, Band 4 (1983), pp. 1-20.

[11] Nagel, R. ; Sinestrari, E.: Inhomogeneous Volterra integrodifferential equations for Hille-Yosida operators. Marcel Dekker, Lecture Notes Pure Appl. Math. 150 (1994). | MR 1241671 | Zbl 0790.45011

[12] Van Neerven, J.:The Adjoint of a Semigroup of Linear Operators. Lecture Notes Math. 1529, Springer-Verlag 1992. | MR 1222650 | Zbl 0780.47026

[13] Nickel, G. ; Rhandi, A.: On the essential spectral radius of semigroups generated by perturbations of Hille-Yosida operators. To appear in Diff. Integ. Equat.

[14] Zhang, C.: Pseudo Almost Periodic Functions and Their Applications. Thesis, the university of Ontario, 1992.

[15] Zhang, C.: Pseudo almost periodic solutions of some differential equations. J.M.A.A.181, (1994), pp. 62-76. | MR 1257954 | Zbl 0796.34029