Existence of continuous solutions and stability for a general iterative functional equation

• Autores: Jingmin Chen, Lin Li
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 260, Nº 1, 2014, págs. 509-518
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.10.029
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• Resumen

  • In this paper, C0 solutions for a general form of iterative functional equation are considered when the coefficient of the first order iterate can be zero, which is called the leading coefficient problem for polynomial-like iterative equations. Moreover, the stability of those C0 solutions is also discussed. Finally, as an application, we give an algorithm to compute the piecewise linear solutions of polynomial-like iterative equations.