Decomposition of functional equations with applications

In this paper the Decomposition Theorem for functional equations is shown. As an application of this Theorem the two times continuously differentiable solution of the functional equation ... can be given with unknown functions ... where the Equation is fulfilled for all ... (where ...).

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2022, Vol.23 (2), p.691-701
Hauptverfasser: Glavosits, Tamás, Házy, Attila, Túri, József
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper the Decomposition Theorem for functional equations is shown. As an application of this Theorem the two times continuously differentiable solution of the functional equation ... can be given with unknown functions ... where the Equation is fulfilled for all ... (where ...).
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2022.4320