Existence of continuous solutions for an iterative functional series equation with variable coefficients

Existence of continuous solutions for an iterative functional series equation with variable coefficients

We obtain theorems on the existence and uniqueness of the solution for iterative functional equations of the type where H i ’s and F are given functions and λ i ’s are nonnegative functions such that on [ a , b ]. Stability of the solution is also discussed.

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Veröffentlicht in:Aequationes mathematicae 2009-10, Vol.78 (1-2), p.167-176
Hauptverfasser: Murugan, Veerapazham, Subrahmanyam, Papagudi Venkatachalam
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Combinatorics
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We obtain theorems on the existence and uniqueness of the solution for iterative functional equations of the type where H i ’s and F are given functions and λ i ’s are nonnegative functions such that on [ a , b ]. Stability of the solution is also discussed.
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-009-2960-3