Results 31 to 40 of about 297,331 (191)

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

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
core   +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

Asymptotic behaviour of solutions to certain nonlinear third order neutral functional differential equation

Heliyon, 2021
This paper presents asymptotic behaviour of solution to certain nonlinear nonautonomous neutral functional differential equation of the third order. The third order functional differential equation is cut back to system of first order and used together ...
Adeleke Timothy Ademola
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
core   +1 more source

Linearized Asymptotic Stability for Fractional Differential Equations [PDF]

, 2016
We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differential equation is asymptotically stable if its linearization at the ...
Cong, N. D., Doan, T. S., Siegmund, S., Tuan, H. T.   +3 more
core   +3 more sources

Stabilization by Unbounded-Variation Noises

, 2015
In this paper, we claim the availability of deterministic noises for stabilization of the origins of dynamical systems, provided that the noises have unbounded variations. To achieve the result, we first consider the system representations based on rough
Nishimura, Yuki
core   +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.
core   +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

Asymptotics of polybalanced metrics under relative stability constraints [PDF]

, 2011
Under the assumption of asymptotic relative Chow-stability for polarized algebraic manifolds $(M, L)$, a series of weighted balanced metrics $\omega_m$, $m \gg 1$, called polybalanced metrics, are obtained from complete linear systems $|L^m|$ on $M ...
Mabuchi, Toshiki
core   +3 more sources