M. Adimy, H. Bouzahir, and K. Ezzinbi, Existence and stability for some partial neutral functional differential equations with infinite delay, Journal of Mathematical Analysis and Applications, vol.294, issue.2, pp.438-461, 2004.
DOI : 10.1016/j.jmaa.2004.02.033

M. Adimy and K. Ezzinbi, A Class of Linear Partial Neutral Functional Differential Equations with Nondense Domain, Journal of Differential Equations, vol.147, issue.2, pp.285-332, 1998.
DOI : 10.1006/jdeq.1998.3446

M. Adimy and K. Ezzinbi, Strict solutions of nonlinear hyperbolic neutral differential equations, Applied Mathematics Letters, vol.12, issue.1, pp.107-112, 1999.
DOI : 10.1016/S0893-9659(98)00134-7

M. Adimy and K. Ezzinbi, Existence and linearized stability for partial neutral functional differential equations with nondense domains, Differential Equations and Dynamical Systems, pp.371-417, 1999.

M. Adimy, K. Ezzinbi, and M. Laklach, Spectral decomposition for partial neutral functional differential equation, Canadian Applied Mathematics Quarterly, vol.9, pp.1-34, 2001.

R. Benkhalti and K. Ezzinbi, Existence and stability for some partial neutral functional differential equations, Differential and Integral Equations, pp.1423-1436, 2004.

J. C. Chang, Existence of some neutral partial differential equations with infinite delay, Nonlinear Analysis: Theory, Methods & Applications, pp.3204-3217, 2011.

G. Da-prato and P. Grisvard, On extrapolation spaces, Rend. Accad. Naz. Lincei, Mat. Nat, vol.72, pp.330-332, 1982.

W. Desch and W. Schappacher, Linearized stability for nonlinear semigroups, Lecture Notes in Mathematics, vol.1223, pp.61-73, 1986.
DOI : 10.1007/BFb0099183

K. J. Engel and R. Nagel, One-parameter semigroups for linear evolution equations, Semigroup Forum, vol.63, issue.2, p.194, 2001.
DOI : 10.1007/s002330010042

K. Ezzinbi, Existence and stability for some partial functional differential equations with infinite delay, Electronic Journal of Differential Equations, vol.116, pp.1-13, 2003.

K. Ezzinbi, S. Ghnimi, and M. Taoudi, Existence and regularity of solutions for neutral partial functional integrodifferential equations with infinite delay, Nonlinear Analysis: Hybrid Systems, pp.54-64, 2010.

J. K. Hale, Partial Neutral Functional Differential Equations, Rev Romania Math Pure Appl, vol.39, pp.339-344, 1994.

J. K. Hale and T. Kato, Phase space for retarded equations with infinite delay, Funkcial Ekvac, pp.11-41, 1978.

H. R. Henriquez, Periodic solutions of quasi-linear partial functional differential equations with unbounded delay, Funkcial. Ekvac, vol.37, pp.329-343, 1994.

H. Hernandez and H. R. Henriquez, Existence Results for Partial Neutral Functional Differential Equations with Unbounded Delay, Journal of Mathematical Analysis and Applications, vol.221, issue.2, pp.452-475, 1998.
DOI : 10.1006/jmaa.1997.5875

Y. Hino, S. Murakami, and T. Naito, Functional Differential Equations with Infinite Delay, Lecture Notes in Math, vol.1473, 1991.
DOI : 10.1007/BFb0084432

L. Maniar and A. Rhandi, Extrapolation and inhornogeneous retarded differential equations on infinite dimensional spaces, Rendiconti del Circolo Matematico di Palermo, vol.126, issue.3, pp.331-346, 1998.
DOI : 10.1007/BF02844372

R. Nagel and E. Sinestrari, Inhomogeneous Volterra integrodifferential equations for Hille-Yosida operators, Functional Analysis, pp.51-70, 1989.

T. Naito, J. S. Shin, and S. Murakami, On solution semigroups of general functional differential equations, Nonlinear Analysis, Theory, Methods and Applications, pp.4565-4576, 1997.

M. E. Parrot, Positivity and a principle of linearized stability for delay differential equations, Differential and Integral Equations, pp.170-182, 1989.

W. M. Ruess and R. H. Summers, Linearized Stability for Abstract Differential Equations with Delay, Journal of Mathematical Analysis and Applications, vol.198, issue.2, pp.310-336, 1996.
DOI : 10.1006/jmaa.1996.0085

C. Travis and G. F. Webb, Existence and stability for partial functional differential equations, Transactions of the, pp.395-418, 1974.

J. Wu, Theory and Applications of Partial Functional Differential Equations, 1996.
DOI : 10.1007/978-1-4612-4050-1

J. Wu and H. Xia, Self-Sustained Oscillations in a Ring Array of Coupled Lossless Transmission Lines, Journal of Differential Equations, vol.124, issue.1, pp.247-278, 1996.
DOI : 10.1006/jdeq.1996.0009

J. Wu and H. Xia, Rotating waves in partial neutral functional differental equations, Journal of Dynam. Differential Equations, vol.1, pp.209-238, 1999.

M. Adimy and I. Rhône-alpes, F-69200 Villeurbanne Cedex, France E-mail address: mostafa.adimy@inria.fr Mohamed Alia Université Cadi Ayyad, Faculté des Sciences Semlalia E-mail address: monsieuralia@yahoo, 1918.