Notes on the linear equation with Stieltjes derivatives

DOI10.14232/ejqtde.2021.1.42zbMath1499.34099OpenAlexW3181780680WikidataQ115238139 ScholiaQ115238139MaRDI QIDQ5016543

Ignacio Márquez Albés

Publication date: 13 December 2021

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.2021.1.42

zbMATH Keywords

uniquenesslinear equationGronwall inequalityStieltjes integrationStieltjes differentiation

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) Linear ordinary differential equations and systems (34A30) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

On first and second order linear Stieltjes differential equations ⋮ Viability and Filippov-type lemma for Stieltjes differential inclusions ⋮ Stieltjes analytic functions and higher order linear differential equations ⋮ Convergence theorems for varying measures under convexity conditions and applications ⋮ Existence and multiplicity of solutions of Stieltjes differential equations via topological methods ⋮ Relaxation result for differential inclusions with Stieltjes derivative ⋮ Relaxation theorem for Stieltjes differential inclusions on infinite intervals ⋮ Generalized chain rules and applications to Stieltjes differential and integral equations ⋮ Duality for Stieltjes differential and integral equations ⋮ Explicit solutions of linear Stieltjes integral equations

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