Global existence and controllability to a stochastic integro-differential equation.
Chang, Yong-Kui, Zhao, Zhi-Han, Nieto, J.J. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Abdessalam Baliki, Mouffak Benchohra (2014)
Nonautonomous Dynamical Systems
In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Mokhtar Kirane, Nasser-eddine Tatar (2000)
Archivum Mathematicum
We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.
G. G. Hamedani (1981)
Časopis pro pěstování matematiky
Mouffak Benchohra, Imene Medjadj (2016)
Commentationes Mathematicae Universitatis Carolinae
Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.
Hetzer, Georg (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Qiyuan Zhou, Jianying Shao (2015)
Annales Polonici Mathematici
This paper is concerned with a delayed single population model with hereditary effect. Under appropriate conditions, we employ a novel argument to establish a criterion of the global exponential stability of positive almost periodic solutions of the model. Moreover, an example and its numerical simulation are given to illustrate the main result.
Li, Yongkun, Hua, Yuchun, Fei, Yu (2009)
Journal of Inequalities and Applications [electronic only]
Long, Shujun, Xu, Daoyi, Zhu, Wei (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Peng, Shiguo, Yang, Liping (2010)
Abstract and Applied Analysis
Wang, Yi, Ma, Zhongjun, Liu, Hongli (2009)
Journal of Inequalities and Applications [electronic only]
Chaouki Aouiti, Hediene Jallouli, Mohsen Miraoui (2022)
Applications of Mathematics
We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a -pseudo almost automorphic solution. The...
Eduardo Hernández M., Hernán R. Henríquez (2004)
Annales Polonici Mathematici
By using the theory of strongly continuous cosine families and the properties of completely continuous maps, we study the existence of mild, strong, classical and asymptotically almost periodic solutions for a functional second order abstract Cauchy problem with nonlocal conditions.
Hernandez, E., Aki, Sueli M.Tanaka (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Klaus Deimling (1973)
Mathematische Zeitschrift
Zhang, Xiao, Xu, Rui, Gan, Qintao (2009)
Discrete Dynamics in Nature and Society
Zhang, Fei-Yu, Li, Wan-Tong (2005)
Discrete Dynamics in Nature and Society
De La Sen, M. (2010)
Mathematical Problems in Engineering
Drumi Dimitrov Bajnov, Ivanka M. Stamova (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
Ivanov, Anatoli F., Mammadov, Musa A. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]