On first and second order linear Stieltjes differential equations

DOI10.1016/j.jmaa.2022.126010zbMath1491.34003arXiv2106.09332OpenAlexW3167507317WikidataQ115345844 ScholiaQ115345844MaRDI QIDQ2669349

Ignacio Márquez Albés, F. Adrián F. Tojo, Francisco J. Fernández

Publication date: 9 March 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09332

zbMATH Keywords

existenceuniquenessGreen's functionsecond orderStieltjes derivative

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Linear ordinary differential equations and systems (34A30) Green's functions for ordinary differential equations (34B27) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (7)

Stieltjes analytic functions and higher order linear differential equations ⋮ Compactness criteria for Stieltjes function spaces and applications ⋮ Existence and multiplicity of solutions of Stieltjes differential equations via topological methods ⋮ 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

Cites Work

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