Results 21 to 30 of about 164,877 (270)

Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

Mathematics, 2023
In this manuscript, we investigate the issue of approximate controllability for a certain class of abstract neutral integro-differential equations having non-instantaneous impulsions and being subject to state-dependent delay.
A. Bensalem, A. Salim, M. Benchohra, Michal Feckan   +3 more
semanticscholar   +1 more source

Complete controllability of nonlinear fractional neutral functional differential equations

Advances in Continuous and Discrete Models, 2022
This paper is concerned with the complete controllability of a nonlinear fractional neutral functional differential equation. Some sufficient conditions are established for the complete controllability of the nonlinear fractional system.
Yanhua Wen, Xuan-Xuan Xi
semanticscholar   +1 more source

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
In this paper, by using the Gronwall inequality, we show two new results on the Ulam–Hyers and the Ulam–Hyers–Rassias stabilities of neutral stochastic functional differential equations. Two examples illustrating our results are exhibited.
T. Caraballo, Lassaad Mchiri, Mohamed Rhaima   +2 more
semanticscholar   +1 more source

Sequential fractional order Neutral functional Integro differential equations on time scales with Caputo fractional operator over Banach spaces

AIMS Mathematics, 2022
In this work, we scrutinize the existence and uniqueness of the solution to the Integro differential equations for the Caputo fractional derivative on the time scale.
A. Morsy, K. Nisar, C. Ravichandran, C. Anusha   +3 more
semanticscholar   +1 more source

Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations

Mathematics, 2022
This paper focuses on the problem of the pth moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations (INSFDEs).
Yunfeng Li, Pei Cheng, Zheng Wu
doaj   +1 more source

Delay‐dependent stability of highly nonlinear neutral stochastic functional differential equations

International Journal of Robust and Nonlinear Control, 2022
This article focuses on the delay‐dependent stability of highly nonlinear hybrid neutral stochastic functional differential equations (NSFDEs). The delay dependent stability criteria for a class of highly nonlinear hybrid NSFDEs are derived via the ...
Mingxuan Shen, Chen Fei, W. Fei, X. Mao, Chunhui Mei   +4 more
semanticscholar   +1 more source

Invariant measure for neutral stochastic functional differential equations with non-Lipschitz coefficients [PDF]

Evolution Equations and Control Theory, 2021
In this work we study the long time behavior of nonlinear stochastic functional-differential equations of neutral type in Hilbert spaces with non-Lipschitz nonlinearities.
A. Stanzhytskyi, Oleksandr Stanzhytskyi, Oleksandr Misiats   +2 more
semanticscholar   +1 more source

A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations

Journal of Inequalities and Applications, 2010
This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential
Wansheng Wang
doaj   +2 more sources

Controllability results of neutral Caputo fractional functional differential equations

AIMS Mathematics, 2023
In this paper, using the properties of the phase space on infinite delay, generalized Gronwall inequality and fixed point theorems, the existence and controllability results of neutral fractional functional differential equations with multi-term Caputo ...
Qi Wang, Chenxi Xie, Qianqian Deng, Yuting Hu   +3 more
doaj   +1 more source

Comparison theorems on the oscillation of third-order functional differential equations with mixed deviating arguments in neutral term

Differential Equations & Applications, 2022
. This study purposes to present some new comparison theorems that guarantee the oscillation of all solutions of third-order functional differential equations with mixed neutral term i.e., the neutral term contains both retarded and advanced arguments ...
O. Özdemir, Şehri Kaya
semanticscholar   +1 more source