Results 61 to 70 of about 516,723 (184)

Periodic Motions in Banach Space and Applications to Functional-Differential Equations [PDF]

open access: yes, 1962
In establishing the existence of periodic solutions for nonautonomous differential equations of the form x = g(x, t), where g is periodic in t of period for fixed x, it is often convenient to consider the translation operator T(x(t)) = x(t + ).
Jones, G. Stephen
core   +1 more source

Dichotomy results for delay differential equations with negative Schwarzian

open access: yes, 2008
We gain further insight into the use of the Schwarzian derivative to obtain new results for a family of functional differential equations including the famous Wright's equation and the Mackey-Glass type delay differential equations.
an der Heiden   +34 more
core   +1 more source

Asymptotic behavior of solutions of a partial functional differential equation

open access: yesElectronic Journal of Differential Equations, 2000
The asymptotic behavior of solutions of an asymptotically autonomous partial functional differential equation is investigated. The aim of the present paper is to extend our earlier result for ordinary functional differential equations and difference ...
Gyula Farkas
doaj  

Impulsive functional-differential equations with nonlocal conditions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied.
Haydar Akça   +2 more
doaj   +1 more source

Symmetric nonlinear functional differential equations at resonance

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
It is shown that a class of symmetric solutions of the scalar nonlinear functional differential equations at resonance with deviations from $\mathbb{R}\to\mathbb{R}$ can be investigated by using the theory of boundary-value problems.
Natalia Dilna   +3 more
doaj   +1 more source

Solutions for Functional Fully Coupled Forward-Backward Stochastic Differential Equations [PDF]

open access: yes, 2013
In this paper, we study a functional fully coupled forward-backward stochastic differential equations (FBSDEs). Under a new type of integral Lipschitz and monotonicity conditions, the existence and uniqueness of solutions for functional fully coupled ...
Ji, Shaolin, Yang, Shuzhen
core  

Razumikhin-type theorem on time-changed stochastic functional differential equations with Markovian switching

open access: yesOpen Mathematics, 2019
This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By expanding the time-changed Itô formula and the Razumikhin theorem, we obtain the exponential stability ...
Zhang Xiaozhi, Yuan Chenggui
doaj   +1 more source

On variational formulations for functional differential equations

open access: yesJournal of Function Spaces and Applications, 2007
Necessary and sufficient conditions for the existence of integral variational principles for boundary value problems for given ordinary and partial functional differential equations are obtained. Examples are given illustrating the results.
I. A. Kolesnikova   +2 more
doaj   +1 more source

Functional differential equations of third order

open access: yesElectronic Journal of Differential Equations, 2005
In this paper, we consider the third-order neutral functional differential equation with distributed deviating arguments. We give sufficient conditions for the oscillatory behavior of this functional differential equation.
Tuncay Candan, Rajbir S. Dahiya
doaj  

Oscillation criteria for functional differential equations

open access: yesElectronic Journal of Differential Equations, 2005
Consider the first-order linear delay differential equation $$ x'(t)+p(t)x(au (t))=0,quad tgeq t_{0}, $$ and the second-order linear delay equation $$ x''(t)+p(t)x(au (t))=0,quad tgeq t_{0}, $$ where $p$ and $au $ are continuous functions on $[t_{0 ...
Ioannis P. Stavroulakis
doaj  

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