Results 31 to 40 of about 302,370 (330)

Almost Periodic Solutions of Nonlinear Volterra Difference Equations with Unbounded Delay

Axioms, 2015
In order to obtain the conditions for the existence of periodic and almost periodic solutions of Volterra difference equations, \( x(n+1)=f(n,x(n))+\sum_{s=-\infty}^{n}F(n,s, {x(n+s)},x(n)) \), we consider certain stability properties, which are referred
Yoshihiro Hamaya, Tomomi Itokazu, Kaori Saito   +2 more
doaj   +1 more source

Stability of multi-parameter solitons: Asymptotic approach [PDF]

, 1999
General asymptotic approach to the stability problem of multi-parameter solitons in Hamiltonian systems $i\partial E_n/\partial z=\delta H/\delta E_n^*$ has been developed.
Skryabin, Dmitry V.
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Nonlinear Stability of Asymptotic Suction [PDF]

Transactions of the American Mathematical Society, 1984
The semigroup approach to the Navier-Stokes equation in halfspace is used to prove that the stability of the asymptotic suction velocity profile is determined by the eigenvalues of the classical Orr-Sommerfeld equation. The usual obstacle, namely, that the corresponding linear operator contains 0 0 in the spectrum is removed with the ...
openaire   +2 more sources

A note on asymptotic stability [PDF]

Proceedings of the American Mathematical Society, 1968
where x is an m-vector, A and B(t) are complex m Xm matrices, A is constant and skew-Hermitian (A* = -A), B is continuous for all real t and of period w> 0, and e is a small positive number. The problem of deciding the asymptotic behavior of the solutions of such a system is a common one in perturbation theory.
openaire   +2 more sources

Stochastic stability of viscoelastic systems under Gaussian and Poisson white noise excitations [PDF]

, 2018
As the use of viscoelastic materials becomes increasingly popular, stability of viscoelastic structures under random loads becomes increasingly important.
Gu, J, Li, X, Ma, F, Xu, W
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Some results on cascade discrete-time systems

Discrete Dynamics in Nature and Society, 2006
We present sufficient conditions for global asymptotic stability of cascade discrete-time systems. Considering failure of the global asymptotic stability in some cascade systems, we give an estimate of the region of attraction of the systems.
Xiao-Ming Bai, Hui-Min Li, Xiao-Song Yang   +2 more
doaj   +2 more sources

Prolongation of solutions and Lyapunov stability for Stieltjes dynamical systems

Electronic Journal of Qualitative Theory of Differential Equations
In this article, we present Lyapunov-type results to study the stability of an equilibrium of a Stieltjes dynamical system. We utilize prolongation results to establish the global existence of the maximal solution.
Lamiae Maia, Noha El Khattabi, Marlene Frigon   +2 more
doaj   +1 more source

Stability and bifurcations of heteroclinic cycles of type Z

, 2012
Dynamical systems that are invariant under the action of a non-trivial symmetry group can possess structurally stable heteroclinic cycles. In this paper we study stability properties of a class of structurally stable heteroclinic cycles in R^n which we ...
Podvigina, Olga
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Stability of solution of the Ito-Skorokhod stochastic dynamic system of random structure with external random disturbances, Markov switching and all prehistory

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020
The Ito-Skorokhod stochastic dynamical system with external random disturbances, with Markov switching and all prehistory is considered in this paper.
В. К. Ясинський, С. В. Антонюк   +1 more
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Global asymptotic properties for a Leslie-Gower food chain model

, 2009
We study global asymptotic properties of a continuous time Leslie-Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.Comment: 5 Pages, 1 figure ...
Korobeinikov, Andrei, Lee, William T.
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