Results 71 to 80 of about 856 (156)
Lyapunov stability theory for dynamic systems on time scales
International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 275-281, 1992., 1992 By use of the necessary calculus and the fundamental existence theory for dynamic systems on time scales, in this paper, we develop Lyapunov′s second method in the framework of general comparison principle so that one can cover and include several stability results for both types of equations at the same time.
Billur Kaymakçalan
wiley +1 more source
Computational and Mathematical Biophysics, 2023 The four-dimensional food-web system consisting of two prey species for a generalist middle predator and a top predator is proposed and investigated. The middle predator is predating over both the prey species with a modified Holling type-II functional ...
Rani Surbhi +2 more
doaj +1 more source
Effect of saturated treatment on malaria spread with optimal intervention
Alexandria Engineering Journal, 2023 This work presents a new deterministic model which considers transmission mode through blood transfusion and saturated treatment function with a view to gaining more insights into the dynamical spread of malaria.
S. Olaniyi +5 more
doaj +1 more source
On the minimum exit rate for a diffusion process pertaining to a chain of distributed control systems with random perturbations [PDF]
, 2014 In this paper, we consider the problem of minimizing the exit rate with which a diffusion process pertaining to a chain of distributed control systems, with random perturbations, exits from a given bounded open domain.
Getachew K. Befekadu +2 more
core
A note on stability of the vertical uniform rotations of the heavy top
, 2012 We prove that the stability problem of a vertical uniform rotation of a heavy top is completely solved by using the linearization method and the conserved quantities of the differential system which describe the rotation of the heavy ...
Comanescu, Dan
core +1 more source
Halanay type inequalities on time scales with applications
, 2011 This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
core +1 more source
, 2016 The main purpose of this work is to investigate the qualitative behavior of an HIV dynamics model with two types of cocirculating target cells. The model takes into account both short-lived and long lived chronically infected cells.
A. Elaiw, N. Almuallem
semanticscholar +1 more source
Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods
, 2011 We study the stability of the equilibrium points of a skew product system. We analyze the possibility to construct a Lyapunov function using a set of conserved quantities and solving an algebraic system.
Aeyels +11 more
core +1 more source
On Lr-norm-based derivatives and fuzzy Henstock-Kurzweil integrals with an application
Alexandria Engineering Journal, 2023 The fundamental theorem of calculus not only plays an important role in the study of differential equation theory, but also in many practical problems solving.
Yabin Shao, Yubing Li, Zengtai Gong
doaj +1 more source
Some nonlinear inequalities and applications [PDF]
, 2010 Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ to hold, where $y(t)$ is a continuous nonnegative function on $[0,1)$ satisfying some nonlinear inequalities.
Hoang, N. S., Ramm, A. G.
core +4 more sources