Robustness for Non-instantaneous Impulsive Equations via Quadratic Lyapunov Functions
Bulletin of the Malaysian Mathematical Sciences Society, 2022The authors of this interesting paper first characterize the existence of nonuniform exponential contractions for certain non-instantaneous linear impulsive differential systems and then use their characterization to establish a robustness property for sufficiently small linear perturbations of such systems.
Li, Mengmeng +2 more
openaire +1 more source
Almost Periodic Solutions for Two Non-instantaneous Impulsive Biological Models
Qualitative Theory of Dynamical Systems, 2022The authors investigate two biological models with non-instantaneous impulses. Criteria for the existence and uniqueness of almost periodic solutions are established. The exponential stability of positive almost periodic solutions is also considered. The proofs are based on the Lyapunov method and the fixed point theorem.
Ma, Rui, Wang, JinRong, Li, Mengmeng
openaire +2 more sources
Stability of non-instantaneous impulsive systems in Hilbert spaces
Communications in Nonlinear Science and Numerical Simulation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Mengmeng +2 more
openaire +1 more source
Optimality of Non-instantaneous Impulsive Fractional Stochastic Differential Inclusion with fBm
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balasubramaniam, Pagavathigounder +2 more
openaire +2 more sources
Non‐instantaneous impulsive stochastic FitzHugh–Nagumo equation with fractional Brownian motion
Mathematical Methods in the Applied Sciences, 2023This article is devoted to examine the exponential behavior of stochastic FitzHugh–Nagumo equation in Hilbert space. Initially, the proposed model is reformulated into an abstract space, and the existence of mild solution is constructed by employing Mönch fixed‐point theorem and Hausdorff measure of non‐compactness. Furthermore, suitable conditions are
N. Durga, Muslim Malik
openaire +2 more sources
On Stability for Non-Instantaneous Impulsive Delay Differential Equations
Qualitative Theory of Dynamical SystemsIn this paper, a class of scalar differential equations with delays and non-instantaneous impulses is studied.
Ma, Rui, Li, Mengmeng
openaire +1 more source
Non-autonomous Evolution Equations of Parabolic Type with Non-instantaneous Impulses
Mediterranean Journal of Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Pengyu +2 more
openaire +2 more sources
Stability criteria of random nonlinear systems with non‐instantaneous multiple impulse
Asian Journal of ControlAbstractThis paper comprehensively explores the stability analysis of random nonlinear systems subjected to random non‐instantaneous multiple impulses. The random non‐instantaneous multiple impulses refer to various impulsive intensities, with the type of impulse at each moment determined by a Markov chain.
Likang Feng, Baoan Liu, Zhaojing Wu
openaire +2 more sources
On variational methods to non-instantaneous impulsive fractional differential equation
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaliq, Adnan, ur Rehman, Mujeeb
openaire +2 more sources
Periodic Solutions for Conformable Non-autonomous Non-instantaneous Impulsive Differential Equations
Mathematica SlovacaAbstract This paper studies a new type of conformable non-autonomous non-instantaneous impulsive differential equations. We present the solution by a new kinds of conformable Cauchy matrix. Also, we present its some properties. Next, we respectively discuss about the existence and uniqueness of 𝓒-periodic solutions of linear homogeneous ...
Ding, Yuanlin, Liu, Kui
openaire +2 more sources