6533b872fe1ef96bd12d3943

RESEARCH PRODUCT

On a step method and a propagation of discontinuity

Valeria MarraffaDiana CaponettiMieczysław Cichoń

subject

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 method

description

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.

yearjournalcountryeditionlanguage
2019-10-05Computational and Applied Mathematics
https://doi.org/10.1007/s40314-019-0927-0