Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
-
Nadjet Abada
n65abada@yahoo.fr
-
Mouffak Benchohra
benchohra@univ-sba.dz
-
Hadda Hammouche
h.hammouche@yahoo.fr
Downloads
DOI:
https://doi.org/10.4067/S0719-06462010000200001Abstract
In this paper, we establish sufficient conditions for the existence of mild and extremal solutions for some densely defined impulsive functional differential equations in separable Banach spaces with local and nonlocal conditions. We shall rely for the existence of mild solutions on a fixed point theorem due to Burton and Kirk for the sum of completely continuous and contraction operators, and for the existence of extremal solutions on Dhage‘s fixed point theorem.
Keywords
Most read articles by the same author(s)
- Khalida Aissani, Mouffak Benchohra, Nadia Benkhettou, On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- 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)
- 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
- Mouffak Benchohra, Gaston M. N‘Guérékata, Djamila Seba, Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Fouad Fredj, Hadda Hammouche, On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Saïd Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg, Gaston M. N‘Guérékata, Hilfer and Hadamard functional random fractional differential inclusions , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Mouffak Benchohra, Fatima-Zohra Mostefai, Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Mouffak Benchohra, Naima Hamidi, Fractional Order Differential Inclusions via the Topological Transversality Method , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
Similar Articles
- Hendrik Van Maldeghem, Magali Victoor, On Severi varieties as intersections of a minimum number of quadrics , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Edoardo Ballico, Osculating varieties and their joins: \(\mathbb{P}^1\times \mathbb{P}^1\) , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Mohd Danish Siddiqi, Aliya Naaz Siddiqui, Ali H. Hakami, M. Hasan, Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Abhijit Banerjee, Arpita Kundu, On uniqueness of \(L\)-functions in terms of zeros of strong uniqueness polynomial , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Aisha Jabeen, Bruno L. M. Ferreira, Multiplicative maps on generalized \(n\)-matrix rings , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi, On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Rupali Shinde, Christophe Chesneau, Nitin Darkunde, Solutions of two open problems on inequalities involving trigonometric and hyperbolic functions , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Sever Silvestru Dragomir, Eder Kikianty, Perturbed weighted trapezoid inequalities for convex functions with applications , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- Wael Abdelhedi, Minkowski type inequalities for a generalized fractional integral , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Adrián Esparza-Amador, Parámetros especiales y deformaciones lineales de la familia \( (\wp(z))^2 + c \) , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2010-06-01
How to Cite
[1]
N. Abada, M. Benchohra, and H. Hammouche, “Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay”, CUBO, vol. 12, no. 2, pp. 1–17, Jun. 2010.
Issue
Section
Articles
