13.—The Functional Differential Equation y′(x) = ay(λx) + by(x)
- 1 January 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 74, 165-174
- https://doi.org/10.1017/s0308210500016632
Abstract
The paper discusses the asymptotic behaviour of solutions of the functional differential equationwhere a is a complex constant, 0<λ<1, and b is a constant such that Re b = 0, but b ≠ 0.Keywords
This publication has 3 references indexed in Scilit:
- On a Functional Differential EquationIMA Journal of Applied Mathematics, 1971
- The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$Bulletin of the American Mathematical Society, 1971
- The Asymptotically Periodic Behavior of the Solutions of Some Linear Functional EquationsAmerican Journal of Mathematics, 1949