6533b86ffe1ef96bd12cd547
RESEARCH PRODUCT
On Regulated Solutions of Impulsive Differential Equations with Variable Times
Diana CaponettiValeria MarraffaMieczysław Cichońsubject
Regulated functionDifferential equationlcsh:MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisSolution set02 engineering and technologyimpulsive problem with variable timeslcsh:QA1-939Space (mathematics)01 natural sciencessolution setregulated functionregulated function solution set discontinuous function impulsive problem with variable timesSettore MAT/05 - Analisi Matematicadiscontinuous function0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)020201 artificial intelligence & image processing0101 mathematicsUnified field theoryEngineering (miscellaneous)MathematicsVariable (mathematics)description
In this paper we investigate the unified theory for solutions of differential equations without impulses and with impulses, even at variable times, allowing the presence of beating phenomena, in the space of regulated functions. One of the aims of the paper is to give sufficient conditions to ensure that a regulated solution of an impulsive problem is globally defined.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-12-04 | Mathematics |