Search results for " retarded differential equation"

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On a step method and a propagation of discontinuity

2019

In this paper we analyze how to compute discontinuous solutions for functional differential equations, looking at an approach which allows to study simultaneously continuous and discontinuous solutions. We focus our attention on the integral representation of solutions and we justify the applicability of such an approach. In particular, we improve the step method in such a way to solve a problem of vanishing discontinuity points. Our solutions are considered as regulated functions.

Regulated functionIntegral representationregulated function discontinuous function retarded differential equation delay Kurzweil-Stieltjes integral breaking pointsDifferential equationComputer scienceApplied Mathematics010102 general mathematicsMathematicsofComputing_NUMERICALANALYSIS01 natural sciences010101 applied mathematicsComputational MathematicsDiscontinuity (linguistics)Settore MAT/05 - Analisi MatematicaApplied mathematics0101 mathematicsFocus (optics)Step methodComputational and Applied Mathematics
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