Results 21 to 30 of about 919 (260)

Stability of functional differential equations with impulses

Journal of Mathematical Analysis and Applications, 2007
The authors establish some comparison theorems for functional differential equations (FDE) with impulses using several Lyapunov-Razumikhin. The comparison theorems are employed to develop sufficient conditions for stability theorems for FDE. An example is given to illustrate the usefulness and advantages of the results.
Liu, Kaien, Fu, Xilin
openaire   +1 more source

Schauder’s fixed-point theorem in approximate controllability problems

International Journal of Applied Mathematics and Computer Science, 2016
The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces.
Babiarz Artur, Klamka Jerzy, Niezabitowski Michał   +2 more
doaj   +1 more source

Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays

Journal of Control Science and Engineering, 2016
A nonautonomous food-chain system with Holling II functional response is studied, in which multiple delays of digestion are also considered. By applying techniques in differential inequalities, comparison theorem in ordinary differential equations ...
Baodan Tian, Yanhong Qiu, Yucai Ding
doaj   +1 more source

Controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with delay and Poisson jumps

Cogent Engineering, 2015
The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
doaj   +1 more source

MultiPoint BVPs for Second‐Order Functional Differential Equations with Impulses [PDF]

Mathematical Problems in Engineering, 2009
This paper is concerned about the existence of extreme solutions of multipoint boundary value problem for a class of second‐order impulsive functional differential equations. We introduce a new concept of lower and upper solutions. Then, by using the method of upper and lower solutions introduced and monotone iterative technique, we obtain the ...
Yang, Xuxin, He, Zhimin, Shen, Jianhua
openaire   +2 more sources

Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses

Journal of Applied Mathematics, 2013
We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
doaj   +1 more source

Functional Impulsive Fractional Differential Equations Involving the Caputo-Hadamard Derivative and Integral Boundary Conditions

International Journal of Analysis and Applications, 2023
In this paper, we investigate the existence and uniqueness of solutions for functional impulsive fractional differential equations and integral boundary conditions. Our results are based on some fixed point theorems.
Aida Irguedi, Khadidja Nisse, Samira Hamani   +2 more
doaj   +1 more source

On the conditional stability of impulsive functional differential equations [PDF]

Applied Mathematics Research eXpress, 2006
We obtain sufficient conditions for conditional stability of the zero solution of impulsive functional differential equations with impulse perturbations at fixed moments of time. The main results are found by means of piecewise continuous functions, which are analogues of the classical Lyapunov functions and via the comparison method.
I. M. Stamova, G. T. Stamov
openaire   +1 more source

Biomimetic Microfractals Based Flexible Triboelectric Nanogenerators

Advanced Functional Materials, EarlyView.
A leaf‐skeleton‐based microfractal architecture is integrated with guided CuNW networks and biomimetic triboelectric polymer layers, enabling breathable, flexible, and material‐efficient triboelectric nanogenerators. The resulting system combines enhanced charge generation and charge transport, offering potential for next‐generation self‐powered ...
Amit Barua, Mislav Matić, Ana‐Marija Pitner, Rituporn Gogoi, Aman Kumar, Mirko Poljak, Anastasia Koivikko, Vipul Sharma   +7 more
wiley   +1 more source

Necessary and sufficient conditions for nonoscillatory solutions of impulsive delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2013
Monotonicity of solutions is an important property in the investigation of oscillatory behaviors of differential equations. A number of papers provide some existence criteria for eventually positive increasing solutions.
Shao-Yuan Huang, Sui Sun Cheng
doaj   +1 more source