×

zbMATH — the first resource for mathematics

An upper bound on Picard iterates. (English) Zbl 1411.34032
Summary: Existence and uniqueness of solutions of \(m\)th-order ordinary differential equations is a fundamental theorem of differential equations. In this note we offer a proof of a key result of this theory that is more accessible for beginning undergraduate students.
MSC:
34A45 Theoretical approximation of solutions to ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems, general
PDF BibTeX XML Cite