Results 41 to 50 of about 691 (253)
Existence of positive solutions for a class of higher order neutral functional differential equations [PDF]
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]
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
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A class of Neutral Functional Differential Equations
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]
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
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Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays
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
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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
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
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Forward and backward continuation for neutral functional differential equations [PDF]
Basic theory of existence, uniqueness, and continuation for neutral functional differential ...
Hale, Jack K, Hale, J. K.
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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
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
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