Electron. J. Diff. Eqns.,
Vol. 2006(2006), No. 88, pp. 1-16.
Existence and regularity of local solutions
to partial neutral functional differential equations
with infinite delay
Hassane Bouzahir
Abstract:
In this paper, we establish results concerning, existence,
uniqueness, global continuation, and regularity of integral
solutions to some partial neutral functional differential
equations with infinite delay. These equations find their origin
in the description of heat flow models, viscoelastic and
thermoviscoelastic materials, and lossless transmission lines
models; see for example [15] and [38].
Submitted Janaury 6, 2005. Published August 9, 2006.
Math Subject Classifications: 34K30, 34K40, 35R10, 45K05
Key Words: Infinite delay; integrated semigroup; neutral type;
phase space; regularity.
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Hassane Bouzahir
LAMA, Université Ibn Zohr
Ecole Nationale des Sciences Appliquées
P. O. Box 1136 Agadir, 80 000 Morocco
email: hbouzahir@yahoo.fr
http://www.geocities.com/hbouzahir |
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