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Measure functional differential equations and functional dynamic equations on time scales
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2012)
We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure ...
On the dominance of roots of characteristic equations for neutral functional differential equations
(ELSEVIER SCIENCE INC, 2009)
We present a sufficient condition for a zero of a function that arises typically as the characteristic equation of a linear functional differential equations of neutral type, to be simple and dominant. This knowledge is ...
Pseudo-almost periodic solutions for abstract partial functional differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this work we study the existence and uniqueness of pseudo-almost periodic solutions for a first-order abstract functional differential equation with a linear part dominated by a Hille-Yosida type operator with a non-dense ...
On the stability of radical septic functional equations
(2020-12-01)
This paper deals with the approximate solution of the following functional equation [formula presented] where f is a mapping from R into a normed vector space. We show stability results of this equation in quasi-β-Banach ...
A Growth Functional Equation.
(2013-08-12)
We state a growth functional equation related with the Von Bertalanffy physiological differential equation.
Existence results for abstract impulsive second-order neutral functional differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
We establish the existence of mild solutions for a class of impulsive second-order partial neutral functional differential equations with infinite delay in a Banach space. (C) 2009 Published by Elsevier Ltd
Periodic averaging theorems for various types of equations
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2013-08-02)
We prove a periodic averaging theorem for generalized ordinary differential equations and show that averaging theorems for ordinary differential equations with impulses and for dynamic equations on time scales follow easily ...
Lyapunov theorems for measure functional differential equations via Kurzweil-equations
(Wiley-VCH Verlag GmbHWeinheim, 2015)
We consider measure functional differential equations (we write measure FDEs) of the form Dx = f ('X IND. T', t)Dg, where f is Perron–Stieltjes integrable, 'X IND. T' is given by 'X IND. T'(θ) = x(t + θ), θ ∈ [−r, 0], with ...
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 ...
On the Norm with Respect to Vector Measures of the Solution of an Infinite System of Ordinary Differential Equations
In the present paper we give some necessary conditions that satisfy the solutions of an infinite system of ordinary differential equations. We investigate the behavior of the solutions of a general system of equations, ...