Results 41 to 50 of about 691 (253)

Existence of positive solutions for a class of higher order neutral functional differential equations [PDF]

open access: yes, 2001
summary:The higher order neutral functional differential equation \[ \frac{\mathrm{d}^n}{\mathrm{d}t^n} \bigl [x(t) + h(t) x(\tau (t))\bigr ] + \sigma f\bigl (t,x(g(t))\bigr ) = 0 \qquad \mathrm{(1)}\] is considered under the following conditions: $n\ge ...
Tanaka, Satoshi
core   +1 more source

On the oscillation of third-order quasi-linear neutral functional differential equations [PDF]

open access: yes, 2011
summary:The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation \begin{equation*} \big [a(t)\big ([x(t)+p(t)x(\delta (t))]^{\prime \prime }\big )^\alpha \big ]^{\prime }+q(t)x ...
Thandapani, E., Li, Tongxing
core   +1 more source

A class of Neutral Functional Differential Equations

open access: yesJournal of Differential Equations, 1972
Formulation and study of the initial value problem for neutral functional differential equations. The existence, uniqueness, and continuation of solutions to this problem are investigated, and an analysis is made of the dependence of the solutions on the initial conditions and parameters, resulting in the derivation of a continuous dependence theorem ...
openaire   +2 more sources

Existence of solutions for abstract neutral integro-differential equations with unbounded delay [PDF]

open access: yes, 1998
summary:In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay.
Hernández, Eduardo M.   +6 more
core   +1 more source

Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays

open access: yesComplexity, 2020
An algorithm using the differential transformation which is convenient for finding numerical solutions to initial value problems for functional differential equations is proposed in this paper.
Josef Rebenda, Zuzana Pátíková
doaj   +1 more source

A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay

open access: yesFractal and Fractional, 2021
This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour   +4 more
doaj   +1 more source

A Neutral Functional Differential Equation with an Unbounded Kernel

open access: yesJournal of Integral Equations and Applications, 1993
The authors consider the scalar neutral functional differential equation (1) \((d/dt) \int^ 0_{-\infty} g(s)u(t + s)ds = 0\) for \(t \in [0,\infty)\), \(u(t) =\varphi (t)\) for \(t0\), with norm \(\| f \|^ 2 = \int^ 0_{-\infty} e^{-\omega s} h(s)f^ 2(s)ds\).
Turi, Janos, Desch, Wolfgang
openaire   +3 more sources

Forward and backward continuation for neutral functional differential equations [PDF]

open access: yes, 1969
Basic theory of existence, uniqueness, and continuation for neutral functional differential ...
Hale, Jack K, Hale, J. K.
core   +2 more sources

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

open access: yesFEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes   +4 more
wiley   +1 more source

Controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with delay and Poisson jumps

open access: yesCogent Engineering, 2015
The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
doaj   +1 more source

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