Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-98-17

October 1998

On a Difference-Delay Equation

Roy O. Davies and A.J. Ostaszewski


We investigate how the behaviour, especially at  ±infty,  of continuous real solutions  f(t)  to the equation  f(t) = a1 f(t+h1) + a2 f(t-h2),  where  a1, a2, h1, h2  are positive real constants, depends on the values of these parameters. Definitive answers are given, except in certain cases when  h1/h2  is rational.

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