Results 21 to 30 of about 7,728,347 (284)
New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations [PDF]
, 2022 summary:This paper addresses the stability study for nonlinear neutral differential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymptotic stability of the solution.
Benhadri, Mimia, Caraballo, Tomás
core +1 more source
Oscillation and Global Asymptotic Stability
Journal of Mathematical Analysis and Applications, 2000 The authors establish oscillation results and global asymptotic stability for the difference equation \[ y_{n+1}= A+{y_ny_{n-2} \cdots y_{n-(2k-2)} \over y_{n-1}y_{n-3} \cdots y_{n-(2k-1)}},\;A>0,\;k\geq 2,\;n\geq 2k. \] For related results see the paper of \textit{R. De Vault}, \textit{G. Ladas} and \textit{S. W. Schultz} [Proc. Am. Math. Soc. 126, No.
Mishev, D.P, Patula, W.T
openaire +2 more sources
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem) [PDF]
, 1990 Global stability properties of a premixed, three-dimensional reaction zone are considered. In the nonadiabatic case (i.e., when there is a heat exchange between the reaction zone and the burned gases) there is a unique, spatially one-dimensional steady ...
Alvarez Pereira, Carlos +1 more
core +1 more source
Some Results About Global Asymptotic Stability [PDF]
Qualitative Theory of Dynamical Systems, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castañeda, Álvaro, Guíñez, Víctor
openaire +4 more sources
Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays [PDF]
, 2006 This is the post print version of the article. The official published version can be obtained from the link below - Copyright 2006 Elsevier Ltd.This Letter is concerned with the global asymptotic stability analysis problem for a class of uncertain ...
Liu, Y, Liu, X, Wang, Z, Fraser, K
core +1 more source
On the local dynamics of polynomial difference equations with fading stochastic perturbations [PDF]
, 2010 We examine the stability-instability behaviour of a polynomial difference equa- tion with state-independent, asymptotically fading stochastic perturbations. We find that the set of initial values can be partitioned into a stability region, an instability
Kelly, C. +3 more
core +3 more sources
Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation
Discrete Dynamics in Nature and Society, 2014 We investigate the local stability and the global asymptotic stability of the difference equation xn+1=αxn2+βxnxn-1+γxn-1/Axn2+Bxnxn-1+Cxn-1, n=0,1,… with nonnegative parameters and initial conditions such that Axn2+Bxnxn-1+Cxn-1>0, for all n≥0.
Senada Kalabušić +2 more
doaj +1 more source
Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]
, 2011 Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Luo, Qi, Shen, Yi, Mao, Xuerong
core +3 more sources
Journal of Applied Mathematics, 2013 This paper discusses the existence and global uniform asymptotic stability of almost periodic solutions for cellular neural networks (CNNS). By utilizing the theory of the almost periodic differential equation and the Lyapunov functionals method, some ...
Zongyi Hou, Hongying Zhu, Chunhua Feng
doaj +1 more source
A Note on the Global Asymptotic Stability
, 2023 Abstract This paper addresses the classical problem of global asymptotic stability analysis of nonlinear systems. The note followed in this paper looks at the necessity of an additional condition on the derivative of the Lyapunov function to achieve the global asymptotic stability missed in the original statement.
openaire +1 more source