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Row-summable matrices with application to generalization of Schröder's and Abel's functional equations.
- Source :
-
Aequationes Mathematicae . Jun2022, Vol. 96 Issue 3, p525-533. 9p. - Publication Year :
- 2022
-
Abstract
- In this paper, the author discusses a generalization of Schröder's and Abel's functional equation of the form ∑ n α n (x) f (u n (x)) = g (x). In fact, using the theory of operators and infinite matrices, we show under certain conditions this equation has only a unique bounded solution f : X → R. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GENERALIZATION
*MATRICES (Mathematics)
*OPERATOR theory
Subjects
Details
- Language :
- English
- ISSN :
- 00019054
- Volume :
- 96
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Aequationes Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 157056145
- Full Text :
- https://doi.org/10.1007/s00010-021-00843-5