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math.CA2012★ 1 cited
A simple proof of the Fundamental Theorem of Calculus for the Lebesgue integral
Rodrigo López Pouso
This paper contains a new elementary proof of the Fundamental Theorem of Calculus for the Lebesgue integral. The hardest part of our proof simply concerns the convergence in ${\rm…
math.CA2012★ 3 cited
Peano's Existence Theorem revisited
Rodrigo López Pouso
We present new proofs to four versions of Peano's Existence Theorem for ordinary differential equations and systems. We hope to have gained readability with respect to other usual…