Existence and stability in the α-norm for nonlinear neutral partial differential equations with finite delay
-
Taoufik Chitioui
chtioui.taoufik@yahoo.fr
-
Khalil Ezzinbi
ezzinbi@gmail.com
-
Amor Rebey
ezzinbi@gmail.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462013000100004Abstract
In this work, we study the existence, regularity and stability of solutions for some nonlinear class of partial neutral functional differential equations. We assume that the linear part generates a compact analytic semigroup on a Banach space X, the delayed part is assumed to be continuous with respect to the fractional power of the generator. For illustration, some application is provided for some model with diffusion and nonlinearity in the gradient.
Keywords
Most read articles by the same author(s)
- Mouffak Benchohra, Omar Bennihi, Khalil Ezzinbi, Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Toka Diagana, Khalil Ezzinbi, Mohsen Miraoui, Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- Abdelhai Elazzouzi, Khalil Ezzinbi, Mohammed Kriche, On the periodic solutions for some retarded partial differential equations by the use of semi-Fredholm operators , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Khalil Ezzinbi, Valerie Nelson, Gaston N‘Gu´er´ekata, ð¶â½â¿â¾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Abdoul Aziz Kalifa Dianda, Khalil Ezzinbi, Almost automorphic solutions for some nonautonomous evolution equations under the light of integrable dichotomy , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
Similar Articles
- Kaïs Ammari, Georgi Vodev, Boundary Stabilization of the Transmission Problem for the Bernoulli-Euler Plate Equation , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Fujisaki Masatoshi, Nonlinear semigroup associated with maximizing operator and large deviation , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Fatima Si bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, Gaston M. N‘Guérékata, Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Andrzej Bi´s, Mariusz Urba´nski, Some remarks on topological entropy of a semigroup of continuous maps , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- Gen-Qiang Wang, Sui Sun Cheng, Oscillation of second order differential equation with piecewise constant argument , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- George A. Anastassiou, Converse Fractional Opial Inequalities for Several Functions , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- René Erlín Castillo, Babar Sultan, A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Masaya Kawamura, On an \(a\) \(priori\) \(L^\infty\) estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Masaru Ikehata, A Remark on the Enclosure Method for a Body with an Unknown Homogeneous Background Conductivity , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Said Ait Temghart, Chakir Allalou, Adil Abbassi, Existence results for a class of local and nonlocal nonlinear elliptic problems , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
<< < 6 7 8 9 10 11 12 13 14 15 16 17 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2013-03-01
How to Cite
[1]
T. Chitioui, K. Ezzinbi, and A. Rebey, “Existence and stability in the α-norm for nonlinear neutral partial differential equations with finite delay”, CUBO, vol. 15, no. 1, pp. 49–75, Mar. 2013.
Issue
Section
Articles
