Generalized elementary functions

DOI10.1016/J.JMAA.2013.10.010zbMath1332.34024OpenAlexW1995533625MaRDI QIDQ902140

Giselle Antunes Monteiro, Antonín Slavík

Publication date: 7 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.010

zbMATH Keywords

elementary functionsKurzweil-Stieltjes integraltime scale calculusgeneralized linear ordinary differential equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Denjoy and Perron integrals, other special integrals (26A39) Elementary functions (26A09) Dynamic equations on time scales or measure chains (34N05)

Related Items (8)

Discrete complementary exponential and sine integral functions ⋮ Generalized chain rules and applications to Stieltjes differential and integral equations ⋮ On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales ⋮ A dynamic matrix exponential via a matrix cylinder transformation ⋮ Growth of solutions for measure differential equations and dynamic equations on time scales ⋮ Non-convex sweeping processes in the space of regulated functions ⋮ Duality for Stieltjes differential and integral equations ⋮ Explicit solutions of linear Stieltjes integral equations

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