ultradifferential en · ADJ
Etymology
Etymology tree Proto-Indo-European *h₂el- Latin ūls Proto-Indo-European *-teros? Latin -ter Old Latin -ād Latin -ā Latin ultrābor. English ultra- Proto-Indo-European *dwóh₁ ▲ Proto-Indo-European *trísinflu. Proto-Indo-European *d(w)is- Proto-Italic *dis- Latin dis- Proto-Indo-European *bʰer- Proto-Indo-European *-eti Proto-Indo-European *bʰéreti Proto-Italic *ferō Latin ferō Latin differō Latin differēns Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Latin -ia Latin differentia Proto-Indo-European *h₂el- Proto-Indo-European *-is Proto-Indo-European *h₂élisder.? Proto-Italic *-ālis Latin -ālis Latin differentiālislbor. English differential English ultradifferential From ultra- + differential.
Meanings
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(not-comparable) A generalization of a differential that is calculated over an ultradistribution.
We give new and simpler proofs of more general results for the inverse and implicit function theorem as well as the existence theorem for ode's in classes of ultradifferential functions.
2016, Jürgen Pöschel, “A new approach to ultradifferentiable functions”, in arXiv: