Results 11 to 20 of about 8,375 (165)

FINITE-TIME STABILITY OF NON-INSTANTANEOUS IMPULSIVE SET DIFFERENTIAL EQUATIONS

Journal of Applied Analysis & Computation, 2023
Summary: In this paper, we investigate the finite-time stability of non-instant-aneous impulsive set differential equations. By using the generalized Gronwall inequality and a revised Lyapunov method, the finite-time stability criteria for such equations are obtained. Finally, an example is given to illustrate the validity of the results.
Wang, Peiguang, Guo, Mengyu, Bao, Junyan
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Existence of mild solutions for fractional non-instantaneous impulsive integro-differential equations with nonlocal conditions [PDF]

Arab Journal of Mathematical Sciences, 2020
This paper is concerned with the existence of mild solutions for a class of fractional semilinear integro-differential equations having non-instantaneous impulses. The result is obtained by using noncompact semigroup theory and fixed point theorem.
Arshi Meraj, Dwijendra N. Pandey
doaj   +1 more source

New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses

Mathematics, 2023
This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib, Abdelkrim Salim, Saïd Abbas, Mouffak Benchohra   +3 more
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Controllability results to non-instantaneous impulsive with infinite delay for generalized fractional differential equations

Alexandria Engineering Journal, 2023
This paper discusses controllability results for active types with infinite-time delay of non-instantaneous impulsive fractional differential equations.
Ahmed Salem, Sanaa Abdullah
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Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses [PDF]

Mediterranean Journal of Mathematics, 2015
The paper deals with the following problem involving a semilinear differential equation subject to the action of non-istantaneous impulses: \[ \begin{aligned} & u'(t)=Au(t)+f(t,u(t))\;,\;t\in [s_i,t_{i+1}],\, i\in \mathbb{N},\\ & u(t)=g_i(t,N_i(t)(u))\;,\;t\in (t_i,s_i],\, i\in \mathbb{N},\\ & u(0)=x_0, \end{aligned} \] where: \(A:D(A)\subseteq X\to X\)
Pierri, Michelle, Henriquez, Hernan R., Prokopczyk, Andrea   +2 more
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Periodic problem for non-instantaneous impulsive partial differential equations

AIMS Mathematics, 2022
<abstract><p>We obtain a new maximum principle of the periodic solutions when the corresponding impulsive equation is linear. If the nonlinear is quasi-monotonicity, we study the existence of the minimal and maximal periodic mild solutions for impulsive partial differential equations by using the perturbation method, the monotone iterative ...
Huanhuan Zhang, Jia Mu
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Practical stability of differential equations with non-instantaneous impulses [PDF]

Differential Equations & Applications, 2017
The concept of practical stability is generalized to nonlinear differential equations with non-instantaneous impulses. These type of impulses start their action abruptly at some points and then continue on given finite intervals. The practical stability and strict practical stability is studied using Lyapunov like functions and comparison results for ...
Agarwal, Ravi P., Hristova, Snezhana G., O'Regan, Donal   +2 more
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Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]

, 2016
State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
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Mixed-order impulsive ordinary and fractional differential equations with initial conditions

Advances in Difference Equations, 2019
In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects.
Suphawat Asawasamrit, Yasintorn Thadang, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
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Existence and Stability Results of Stochastic Differential Equations with Non-instantaneous Impulse and Poisson jumps

Nonautonomous Dynamical Systems, 2022
This paper focuses on a new class of non-instantaneous impulsive stochastic differential equations generated by mixed fractional Brownian motion with poisson jump in real separable Hilbert space.
Varshini S., Banupriya K., Ramkumar K., Ravikumar K.   +3 more
doaj   +1 more source