Equivalence of stability properties for ultradifferentiable function classes

We characterize stability under composition, inversion, and solution of ordinary differential equations for ultradifferentiable classes, and prove that all these stability properties are equivalent.

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Bibliographic Details
Published inRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 110; no. 1; pp. 17 - 32
Main Authors Rainer, Armin, Schindl, Gerhard
Format Journal Article
LanguageEnglish
Published Milan Springer Milan 01.03.2016
Springer Nature B.V
Subjects
Applications of Mathematics
Differential equations
Equivalence
Inversions
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Stability
Theoretical
Composition
30D60
46E10
ODEs
Inversion
Ultradifferentibale functions
Stability properties
26E10
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Summary:We characterize stability under composition, inversion, and solution of ordinary differential equations for ultradifferentiable classes, and prove that all these stability properties are equivalent.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-014-0216-0