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
- Man Chun Leung, Concentration of solutions of non-linear elliptic equations involving critical Sobolev exponent , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi, Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Pietro i Poggi-Corradini, Iteration of analytic self-maps of the disk: an overview , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Slawomir Kolodziej, The complex Monge-Ampére equation and methods of pluripotential theory , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- W. Tutschke, Interactions between partial differential equations and generalized analytic functions , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Michael J. Mezzino, Numerical Solutions of Ordinary Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Chao-Ping Chen, Ai-Qi Liu, Feng Qi, Proofs for the Limit of Ratios of Consecutive Terms in Fibonacci Sequence , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Meriem Djibaoui, Toufik Moussaoui, Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Mohsen Razzaghi, Hamid-Reza Marzban, Hybrid Functions in the Calculus of Variations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
<< < 11 12 13 14 15 16 17 18 19 20 21 22 > >>
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
