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Bounded and periodic solutions of nonlinear integro-differential equations with infinite delay
(2009)
By using the concept of integrable dichotomy, the fixed point theory, functional analysis methods and some new technique of analysis, we obtain new criteria for the existence and uniqueness of bounded and periodic solutions ...
A delay differential equations model for disease transmission dynamics
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2020)
On a new class of abstract integral equations and applications
(ELSEVIER SCIENCE INCNEW YORK, 2012)
In this paper we introduce a new class of abstract integral equations which enables us to study in a unified manner several different types of differential equations. (C) 2012 Elsevier Inc. All rights reserved.
Periodic Orbits and Chaos in Nonsmooth Delay Differential Equations
(World Scientific, 2019-09)
In this paper, we present a method to find periodic solutions for certain types of nonsmooth differential equations or nonsmooth delay differential equations. We apply the method to three examples, the first is a second-order ...
Asymptotic behaviour of solutions to linear neutral delay differential equations with periodic coefficients
(American Institute of Mathematical SciencesSpringfield, 2014-05)
We study the asymptotic behaviour of the solutions of a class of
linear neutral delay differential equations with discrete delay where the coeffi-
cients of the non neutral part are periodic functions which are rational ...
Permanence of stability for a class of system of differential equations with two delays
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
The paper studies a class of a system of linear retarded differential difference equations with several parameters. It presents some sufficient conditions under which no stability changes for an equilibrium point occurs. ...
EXISTENCE OF SOLUTIONS FOR A FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH UNBOUNDED DELAY
(TEXAS STATE UNIVSAN MARCOS, 2012)
In this article, we study the existence of mild solutions for fractional neutral integro-differential equations with infinite delay.
Antiperiodic solutions for nth-order functional differential equations with infinite delay
(2016-02-02)
In this work, we establish the existence and uniqueness of antiperiodic solution for a class of nth-order functional differential equations with infinite delay. The main tool in our study is the coincidence degree theory. ...