Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations
Joint Authors
Sorouri, E.
Gordji, Madjid Eshaghi
Kim, Gwang Hui
Javadian, A.
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-06
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We prove the generalized Hyers-Ulam stability of the 2nd-order linear differential equation of the form y′′+p(x)y′+q(x)y=f(x), with condition that there exists a nonzero y1:I→X in C2(I) such that y1′′+p(x)y1′+q(x)y1=0 and I is an open interval.
As a consequence of our main theorem, we prove the generalized Hyers-Ulam stability of several important well-known differential equations.
American Psychological Association (APA)
Javadian, A.& Sorouri, E.& Kim, Gwang Hui& Gordji, Madjid Eshaghi. 2011. Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-500083
Modern Language Association (MLA)
Javadian, A.…[et al.]. Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations. Journal of Applied Mathematics No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-500083
American Medical Association (AMA)
Javadian, A.& Sorouri, E.& Kim, Gwang Hui& Gordji, Madjid Eshaghi. Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-500083
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500083
