The Stability of Some Differential Equations-Reference-Cited by-同舟云学术

The Stability of Some Differential Equations

Published:2011 Issue: Volume:2011 Page:1-15
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Pourpasha M. M.¹,Rassias Th. M.²,Saadati R.³,Vaezpour S. M.⁴

Affiliation:

1. Department of Mathematics, Chalous Branch, Islamic Azad University (IAU), Chalous 46615, Iran

2. Department of Mathematics, National Technical University of Athens, Zografou Campus, 157 80 Athens, Greece

3. Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran 14778, Iran

4. Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Ave., Tehran, Iran

Abstract

We generalize the results obtained by Jun and Min (2009) and use fixed point method to obtain the stability of the functional equationf(x+σ(y))=F[f(x),f(y)], for a class of functions of a vector space into a Banach space whereσis an involution. Then we obtain the stability of the differential equations of the formy′=F[q(x),P(x)y(x)].

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2011/128479.pdf

Reference20 articles.

1. Interscience Tracts in Pure and Applied Mathematics, no. 8,1960

2. A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution

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