Stability in discrete equations with variable delays.
Stability in generalized processes
Stability in nonlinear evolution problems by means of fixed point theorems
The stabilization of solutions to an abstract differential equation is investigated. The initial value problem is considered in the form of an integral equation. The equation is solved by means of the Banach contraction mapping theorem or the Schauder fixed point theorem in the space of functions decreasing to zero at an appropriate rate. Stable manifolds for singular perturbation problems are compared with each other. A possible application is illustrated on an initial-boundary-value problem for...
Stability in the large of certain non-linear systems of differential equations of order three
Stability, instability and complex behavior in macrodynamic models with policy lag.
Stability investigation of quadratic systems with delay.
Stability of a class of adaptive nonlinear systems
This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class of nonlinear...
Stability of a linear oscillator with variable parameters.
Stability of a model for the Belousov-Zhabotinskij reaction
The paper deals with the Field-Körös-Noyes' model of the Belousov-Yhabotinskij reaction. By means of the method of the Ljapunov function a sufficient condition is determined that the non-trivial critical point of this model be asymptotically stable with respect to a certain set.
Stability of a monotonic solution of a non-autonomous multidimensional delay differential equation of arbitrary (fractional) order.
Stability of a two-strain tuberculosis model with general contact rate.
Stability of abstract differential equations at constantly acting disturbances
Stability of abstract differential equations with the right-hand side smooth in the time variable
Stability of Attractivity Regions for Autonomous Functional Differential Equations.
Stability of Caputo fractional differential equations by Lyapunov functions
The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov-like function along the given fractional equation. Comparison results using this definition for scalar fractional differential equations are presented. Several sufficient conditions for stability, uniform stability and asymptotic uniform stability, based on the new...
Stability of cellular neural networks with unbounded time-varying delays.
Stability of delay differential equations with oscillating coefficients.
Stability of higher order singular points of Poisson manifolds and Lie algebroids
We study the stability of singular points for smooth Poisson structures as well as general Lie algebroids. We give sufficient conditions for stability lying on the first-order approximation (not necessarily linear) of a given Poisson structure or Lie algebroid at a singular point. The main tools used here are the classical Lichnerowicz-Poisson cohomology and the deformation cohomology for Lie algebroids recently introduced by Crainic and Moerdijk. We also provide several examples of stable singular...
Stability of linear dynamic systems on time scales.
Stability of linear functional differential systems with multivalued delay feedback.