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Stability of generalized Newton difference equations Cover

Abstract

In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam-Rassias stability. As corollaries, we obtain the generalized Hyers-Ulam-Rassias stability for generalized forms of square root spirals functional equations and general Newton functional equations for logarithmic spirals.

DOI: https://doi.org/10.2478/v10309-012-0031-6 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 459 - 466
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2013 Zhihua Wang, Yong-Guo Shi, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.