Exponential stability of random impulsive pantograph equations
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DOI: 10.1002/mma.7218
Abstract: In this paper, we study the pth moment exponential stable and pth moment weakly exponential stable results for the random impulsive pantograph delay differential equations (RIPDDEs). Further, we obtained some sufficient conditions by using the… read more here.
Keywords: exponential stability; stability random; pantograph equations; impulsive pantograph ... See more keywords
Almost Sure Stability of Nonlinear Systems Under Random and Impulsive Sequential Attacks
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DOI: 10.1109/tac.2020.2972220
Abstract: This article is concerned with the stability problem for a class of Lipschitz-type nonlinear systems in networked environments, which are suffered from random and impulsive deception attacks. The attack is modeled as a randomly destabilizing… read more here.
Keywords: random impulsive; sure stability; stability; almost sure ... See more keywords
Randomized Sharkovsky-type theorems and their application to random impulsive differential equations and inclusions on tori
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DOI: 10.1142/s0219493719500369
Abstract: Our randomized versions of the Sharkovsky-type cycle coexistence theorems on tori and, in particular, on the circle are applied to random impulsive differential equations and inclusions. The obtained effective coexistence criteria for random subharmonics with… read more here.
Keywords: random impulsive; sharkovsky type; impulsive differential; equations inclusions ... See more keywords
Existence of solutions for first-order Hamiltonian random impulsive differential equations with Dirichlet boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "Discrete and Continuous Dynamical Systems - Series B"
DOI: 10.3934/dcdsb.2021236
Abstract: In this paper, we study the sufficient conditions for the existence of solutions of first-order Hamiltonian random impulsive differential equations under Dirichlet boundary value conditions. By using the variational method, we first obtain the corresponding… read more here.
Keywords: impulsive differential; first order; order hamiltonian; random impulsive ... See more keywords