Extremal solutions for measure differential inclusions via Stieltjes derivatives

DOI10.1186/s13662-019-2172-7zbMath1442.34039OpenAlexW2952700408WikidataQ127652489 ScholiaQ127652489MaRDI QIDQ2424366

Bianca-Renata Satco, Giselle Antunes Monteiro

Publication date: 24 June 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2172-7

zbMATH Keywords

extremal solutionmeasure differential inclusionStieltjes derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (7)

On first and second order linear Stieltjes differential equations ⋮ Viability and Filippov-type lemma for Stieltjes differential inclusions ⋮ Relaxation result for differential inclusions with Stieltjes derivative ⋮ Relaxation theorem for Stieltjes differential inclusions on infinite intervals ⋮ Existence and uniqueness of solution for Stieltjes differential equations with several derivators ⋮ Solvability of non-semicontinuous systems of Stieltjes differential inclusions and equations ⋮ Set-valued problems under bounded variation assumptions involving the Hausdorff excess

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