Continuous dependence results for set-valued measure differential problems

DOI10.14232/ejqtde.2015.1.79zbMath1349.34051OpenAlexW2270847644MaRDI QIDQ2803210

Bianca-Renata Satco

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2015.1.79

zbMATH Keywords

selectionbounded variationStieltjes integralcontinuous dependencemeasure differential inclusionregulated function

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Ordinary differential inclusions (34A60) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Spaces of measures, convergence of measures (28A33)

Related Items (12)

Closure properties for integral problems driven by regulated functions via convergence results ⋮ On regulated functions ⋮ Viability and Filippov-type lemma for Stieltjes differential inclusions ⋮ Convergence theorems for varying measures under convexity conditions and applications ⋮ On periodic evolution equations governed by sweeping processes with multivalued perturbations ⋮ Approximating the solutions of differential inclusions driven by measures ⋮ Measure differential inclusions through selection principles in the space of regulated functions ⋮ Measure differential inclusions: existence results and minimum problems ⋮ Asymmetric variations of multifunctions with application to functional inclusions ⋮ Growth of solutions for measure differential equations and dynamic equations on time scales ⋮ Existence theory for semilinear evolution inclusions involving measures ⋮ Set-valued problems under bounded variation assumptions involving the Hausdorff excess

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