This paper is concerned with the approximate solution of a linear non-autonomous functional differential equation, with both advanced and delayed arguments. We search for a solution x(t), defined for… (More)

This paper focuses on the decomposition, by numerical methods, of solutions to mixed-type functional differential equations (MFDEs) into sums of “forward” solutions and “backward” solutions. We… (More)

This paper presents an algorithm that provides a simple reliable mechanism for the detection of small solutions in linear delay differential equations. We provide background that emphasises the… (More)

We consider the detection of small (super-exponentially decaying) solutions to scalar linear delay differential equations of the form x′(t) = b(t)x(t − d) with b(t + p) = b(t), (1) where p and d are… (More)

This paper is devoted to the approximate solution of a linear first-order functional differential equation which involves delayed and advanced arguments. We seek a solution x, defined for t ∈ (0, k −… (More)

This paper is concerned with the approximate solution of a nonlinear mixed type functional differential equation (MTFDE) arising from nerve conduction theory. The equation considered describes… (More)

6+ are continuous periodic functions with period . We summarise a theoretical treatment that analyses whether the equation has small solutions. We consider discrete equations that arise when a… (More)