Results 71 to 80 of about 706 (132)

Levinson Theorem for Differential Equations with Piecewise Constant Argument Generalized [PDF]

open access: yes, 2015
In this work, it is presented an adaptation of an asymptotic theorem of N. Levinson of 1948, to differential equation with piecewise constant argument generalized, which were introduced by M. Akhmet in 2007.
Castillo, Samuel, Flores, Wilfred
core  

Weak instability of Hamiltonian equilibria

open access: yes, 2012
This is an expository paper on Lyapunov stability of equilibria of autonomous Hamiltonian systems. Our aim is to clarify the concept of weak instability, namely instability without non-constant motions which have the equilibrium as limit point as time ...
Zampieri, Gaetano
core  

Lyapunov theorems for Banach spaces [PDF]

open access: yes, 2011
The final version of this paper appears in: "Bulletin of the American Mathematical Society" 31 (1994): 44-49. Print.We present a spectral mapping theorem for semigroups on any Banach space E.
Latushkin, Yuri, 1956-   +1 more
core  

Time-delayed modelling of the COVID-19 dynamics with a convex incidence rate. [PDF]

open access: yesInform Med Unlocked, 2022
Babasola O   +4 more
europepmc   +2 more sources

On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method

open access: yesAlexandria Engineering Journal, 2020
We present a fractional-order epidemic model for childhood diseases with the new fractional derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian decomposition method (LADM), we solve the problem and the solutions are ...
Dumitru Baleanu   +3 more
doaj   +1 more source

On nonuniform exponential stability for skew-evolution semiflows on Banach spaces

open access: yes, 2010
The paper considers some concepts of nonuniform asymptotic stability for skew-evolution semiflows on Banach spaces. The obtained results clarify differences between the uniform and nonuniform cases.
Megan, Mihail, Stoica, Codruta
core   +1 more source

Assessing the impact of information-induced self-protection on Zika transmission: A mathematical modeling approach

open access: yesComputational and Mathematical Biophysics
As per the World Health Organization’s (WHO’s) suggestions, personal protection via adopting precautionary measures is one of the most effective control aspects to avoid Zika infection in the absence of suitable medical treatment.
Manisha, Nidhi, Kumar Anuj
doaj   +1 more source

Almost periodic solutions of a commensalism system with Michaelis-Menten type harvesting on time scales

open access: yesOpen Mathematics, 2019
In this paper, we consider an almost periodic commensal symbiosis model with nonlinear harvesting on time scales. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. Our
Xue Yalong, Xie Xiangdong, Lin Qifa
doaj   +1 more source

On the Ψ − Conditional Asymptotic Stability of a Nonlinear Lyapunov Matrix Differential Equation with Integral Term as Right Side

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
The aim of this paper is to give sufficient conditions for Ψ − conditional asymptotic stability of the Ψ − bounded solutions of a nonlinear Lyapunov matrix differential equation with integral term as right side.
Diamandescu Aurel
doaj   +1 more source

© Hindawi Publishing Corp. LYAPUNOV STABILITY SOLUTIONS OF FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS [PDF]

open access: yes
Lyapunov stability and asymptotic stability conditions for the solutions of the fractional integrodiffrential equations x (α)(t) = f(t,x(t)) + ∫ t t0 K(t,s,x(s))ds, 0<α ≤ 1, with the initial condition x (α−1)(t0) = x0, have been investigated.
Samir Hadid, Shaher Momani
core  

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