Results 41 to 50 of about 168,344 (183)
Prolongation of solutions and Lyapunov stability for Stieltjes dynamical systems
Electronic Journal of Qualitative Theory of Differential EquationsIn 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 +2 more
doaj +1 more source
Global Asymptotic Stability in a Class of Difference Equations
Advances in Difference Equations, 2008 We study the difference equation xn=[(f×g1+g2+h)/(g1+f×g2+h)](xn−1,…,xn−r), n=1,2,…, x1−r,…,x0>0, where f,g1,g2:(R+)r→R+ and h:(R+)r→[0,+∞) are all continuous functions, and min1≤i≤r{ui,1/ui ...
Jianqiu Cao +3 more
doaj +1 more source
Global Asymptotic Stability of Solutions to Nonlinear Marine Riser Equation
Journal of Inequalities and Applications, 2010 This paper studies initial boundary value problem of fourth-order nonlinear marine riser equation. By using multiplier method, it is proven that the zero solution of the problem is globally asymptotically stable.
Şevket Gür
doaj +2 more sources
Global Asymptotic Stability for Discrete Single Species Population Models
Discrete Dynamics in Nature and Society, 2017 We present some basic discrete models in populations dynamics of single species with several age classes. Starting with the basic Beverton-Holt model that describes the change of single species we discuss its basic properties such as a convergence of all
A. Bilgin, M. R. S. Kulenović
doaj +1 more source
Journal of Mathematical Sciences and Modelling, 2021 This paper evaluates the impact of an effective preventive vaccine on the control of some infectious diseases by using a new deterministic mathematical model.
Sümeyye Çakan
doaj +1 more source
Resonance bifurcations from robust homoclinic cycles
, 2009 We present two calculations for a class of robust homoclinic cycles with symmetry Z_n x Z_2^n, for which the sufficient conditions for asymptotic stability given by Krupa and Melbourne are not optimal.
Aguiar M Ashwin P Dias A Field M +10 more
core +2 more sources
Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
Advances in Difference Equations, 2017 We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov ...
Nattakan Supajaidee, Sompop Moonchai
doaj +1 more source
Global well-posedness for the Schroedinger equation coupled to a nonlinear oscillator
, 2007 The Schroedinger equation with the nonlinearity concentrated at a single point proves to be an interesting and important model for the analysis of long-time behavior of solutions, such as the asymptotic stability of solitary waves and properties of weak ...
A. A. Komech, A. I. Komech, Al. Komech
core +2 more sources
On Global Asymptotic Stability of Solutions of Differential Equations [PDF]
Transactions of the American Mathematical Society, 1962 and (1.3) H(x) is negative definite (for fixed x # 0), then x=0 is a globally asymptotically stable solution of (1.1); i.e., every solution x=x(t) or (1.1) exists for large t and x(t)->0 as too. Among the results of [4], which deals with the case n =2, is the following: if (1.4) x=0 is a locally asymptotically stable solution of (1.1) and (1.3) is ...
Hartman, P., Czeslaw, O.
openaire +2 more sources
Global asymptotic stability of solutions of cubic stochastic difference equations
Advances in Difference Equations, 2004 Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differences is proven under appropriate conditions ...
Henri Schurz, Alexandra Rodkina
doaj +2 more sources