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Stability of generalized Newton difference equations

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 20 (2012): Issue 1 (May 2012)

By: Zhihua Wang and Yong-Guo Shi

Open Access

|May 2013

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.

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Articles in this issue

DOI: https://doi.org/10.2478/v10309-012-0031-6 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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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 issues per year

Keywords:

Functional equation,

Square root spiral,

Logarithmic spiral,

Hyers-Ulam- Rassias stability

Related subjects:

General mathematics

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

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