Journal ArticleDOI
On a Functional Differential Equation
Reads0
Chats0
About:
This article is published in Ima Journal of Applied Mathematics.The article was published on 1971-12-01. It has received 271 citations till now. The article focuses on the topics: First-order partial differential equation & Differential equation.read more
Citations
More filters
Journal ArticleDOI
On the generalized pantograph functional-differential equation
TL;DR: In this article, the generalized pantograph equation y′(t) = Ay(t + By(qt) + Cy′(qt), y(0) = y0, where q ∈ (0, 1), has been investigated extensively, and a general theory for this equation is lacking.
Journal ArticleDOI
A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
TL;DR: In this article, a direct solution technique for solving the generalized pantograph equation with variable coefficients subject to initial conditions, using a collocation method based on Bernoulli operational matrix of derivatives, is presented.
Journal ArticleDOI
13.—The Functional Differential Equation y′(x) = ay(λx) + by(x)
Jack Carr,Janet Dyson +1 more
TL;DR: In this paper, the asymptotic behavior of solutions of the functional differential equation where a is a complex constant, and 0 b is a constant such that Re b = 0, but b ≠ 0.
Journal ArticleDOI
Properties of analytic solution and numerical solution of multi-pantograph equation
Mingzhu Liu,Dongsong Li +1 more
TL;DR: This paper deals with the properties of the analytic solution and the numerical solution of the multi-pantograph equation.
Journal ArticleDOI
Stability of the discretized pantograph differential equation
Martin D. Buhmann,Arieh Iserles +1 more
TL;DR: In this article, the authors studied discretizations of the general pantograph equation with trapezoidal rule discretization and identified conditions on a, b, c and the stepsize which imply that the solution sequence is bounded or tends to zero algebraically, as a negative power of n.
Related Papers (5)
The Dynamics of a Current Collection System for an Electric Locomotive
John Ockendon,A. B. Tayler +1 more
The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
Tosio Kate,J. B. McLeod +1 more