Distributional, differential and integral problems: equivalence and existence results

DOI10.14232/ejqtde.2017.1.7zbMath1413.34062OpenAlexW2584292272MaRDI QIDQ4584475

Giselle Antunes Monteiro, Bianca-Renata Satco

Publication date: 3 September 2018

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.2017.1.7

zbMATH Keywords

distributionsolutionvariational measureKurzweil-Stieltjes integralregulated functionregulated primitive integralderivative with respect to functions

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) Distributions, generalized functions, distribution spaces (46F99) Denjoy and Perron integrals, other special integrals (26A39) Functions of bounded variation, generalizations (26A45)

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