Search results for " Stieltjes derivative"

showing 2 items of 2 documents

Stieltjes Differential Inclusions with Periodic Boundary Conditions without Upper Semicontinuity

2021

We are studying first order differential inclusions with periodic boundary conditions where the Stieltjes derivative with respect to a left-continuous non-decreasing function replaces the classical derivative. The involved set-valued mapping is not assumed to have compact and convex values, nor to be upper semicontinuous concerning the second argument everywhere, as in other related works. A condition involving the contingent derivative relative to the non-decreasing function (recently introduced and applied to initial value problems by R.L. Pouso, I.M. Marquez Albes, and J. Rodriguez-Lopez) is imposed on the set where the upper semicontinuity and the assumption to have compact convex value…

dynamic equation on time scalesSettore MAT/05 - Analisi MatematicaGeneral MathematicsComputer Science (miscellaneous)QA1-939differential inclusionEngineering (miscellaneous)Stieltjes derivativeimpulseMathematicsdifferential inclusion; periodic boundary value condition; Stieltjes derivative; impulse; dynamic equation on time scalesperiodic boundary value conditionMathematics
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Relaxation result for differential inclusions with Stieltjes derivative

2023

The aim of this paper is to provide a Filippov-Wa\.{z}ewski Relaxation Theorem for the very general setting of Stieltjes differential inclusions. New relaxation results can be deduced for generalized differential problems, for impulsive differential inclusions with multivalued impulsive maps and possibly countable impulsive moments and also for dynamic inclusions on time scales.

Settore MAT/05 - Analisi Matematicadifferential inclusions Filippov-Wa\.{z}ewski Relaxation Theorem Stieltjes derivative Stieltjes integral
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