<abstract xmlns="http://www.w3.org/1999/xhtml">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. </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.

Stability of generalized Newton difference equations

School of Science, Hubei University of Technology, Wuhan, Hubei 430068, P.R. China

Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641112, P.R. China

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Stability of generalized Newton difference equations"}

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...

Stability of generalized Newton difference equations

Published Online: May 17, 2013

Page range: 459 - 466

DOI: https://doi.org/10.2478/v10309-012-0031-6

Keywords
Functional equation, Square root spiral, Logarithmic spiral, Hyers-Ulam- Rassias stability

This content is open access.

Stability of generalized Newton difference equations

Published Online: May 17, 2013

Page range: 459 - 466

DOI: https://doi.org/10.2478/v10309-012-0031-6

KeywordsFunctional equation, Square root spiral, Logarithmic spiral, Hyers-Ulam- Rassias stability

This content is open access.

Keywords
Functional equation, Square root spiral, Logarithmic spiral, Hyers-Ulam- Rassias stability