Levinson Theorem for Differential Equations with Piecewise Constant Argument Generalized [PDF]
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
Semi-periodic solutions of difference and differential equations
International audienceThe spaces of semi-periodic sequences and functions are examined in the relationship to the closely related notions of almost-periodicity, quasi-periodicity and periodicity.
Andres, Jan, Pennequin, Denis
core +2 more sources
Pseudo compact almost automorphic solutions to a family of delay differential equations
In this article, a family of delay differential equations with pseudo compact almost automorphic coefficients is considered. By introducing a concept of Bi-pseudo compact almost automorphic functions and establishing the properties of these functions ...
Zheng Feng-Xia, Li Hong-Xu
doaj +1 more source
Recurrent equation with sign and Fredholm alternative [PDF]
Producción CientíficaWe prove that a Fredholm--type Alternative holds for recurrent equations with sign, extending a previous result by Cieutat and Haraux in [3].
Campos, Juan +2 more
core +3 more sources
Polynomial and linearized normal forms for almost periodic differential systems [PDF]
"Vegeu el resum a l'inici del document del fitxer adjunt"
Llibre, Jaume +3 more
core
On the existence of almost periodic solutions for a class of neutral delay differential equations
International audienceWe study the existence of a Besicovitch almost periodic solution for a class of second order neutral delay differential equations u''(t−r)+D_1F(u(t−r),u(t−2r),t−r)+D_2F(u(t),u(t−r),t) = 0, in a Hilbert space, under some hyptoheses on
Ayachi, Moez, Lassoued, Dhaou
core +1 more source
Unified approach to bounded, periodic and almost periodic solutions of differential systems [PDF]
The criteria for an entirely bounded solution of a quasi-linear differential system are developed via asymptotic boundary value problems. The same principle allows us to deduce at the same time the existence of periodic orbits, when assuming additionally
Andres, Jan, Krajc, Bohumil
core +1 more source
Existence of almost periodic solutions of stochastic differential equations with periodic coefficients [PDF]
In this work, under some conditions, we will prove that a scalar stochastic differential equation with periodic coefficients admits almost periodic ...
Berboucha, Ahmed, Boudref, Mohamed Ahmed
core
Almost-periodic solutions in various metrics of higher-order differential equations with a nonlinear restoring term [PDF]
summary:Almost-periodic solutions in various metrics (Stepanov, Weyl, Besicovitch) of higher-order differential equations with a nonlinear Lipschitz-continuous restoring term are investigated. The main emphasis is focused on a Lipschitz constant which is
Andres, Jan +2 more
core
Intraspecific and monotone enzyme catalysis with oscillatory substrate and inhibitor supplies
Enzyme catalysis in reactors for industrial applications usually require an external intervention of the species involved in the chemical reactions. We analyze the most elementary open enzyme catalysis with competitive inhibition where a time-dependent ...
Díaz-Marín, Homero G. +1 more
core +1 more source

