Generalized Hyers‐Ulam Stability of the Second‐Order Linear Differential Equations | Zendy

A. Javadian | Zendy; E. Sorouri | Zendy; Gwang Hui Kim | Zendy; M‎. ‎Eshaghi Gordji | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Generalized Hyers‐Ulam Stability of the Second‐Order Linear Differential Equations

Author(s) -

A. Javadian,

E. Sorouri,

Gwang Hui Kim,

M‎. ‎Eshaghi Gordji

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/813137

Subject(s) - mathematics , stability (learning theory) , order (exchange) , linear differential equation , differential (mechanical device) , differential equation , mathematical analysis , computer science , physics , economics , thermodynamics , finance , machine learning

We prove the generalized Hyers-Ulam stability of the 2nd-order linear differentialequation of the form +()+()=(), with condition that there exists a nonzero 1∶→ in 2() such that 1+()1+()1=0 and is an openinterval. As a consequence of our main theorem, we prove the generalized Hyers-Ulamstability of several important well-known differential equations

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research