On stability of a functional equation with variables
โ Scribed by Jae-Hyeong Bae; Won-Gil Park
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 141 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we will introduce a new multiplicative functional Eq. 1 and prove ลฝ . that the given equation is equivalent to the well known ''original'' one, f xy s ลฝ . ลฝ . ลฝ . f x f y . Moreover, we will investigate the stability problem of Eq. 1 in the sense of R. Ger.
The asymptotic stability and instability of the trivial solution of a functional-differential equation of delay type relative to part of the variables are investigated using limit equations and a Lyapunov function whose derivative is sign-definite. The theorems thus obtained are used to solve the pr
The stability of the functional equation F (x + y) -G(xy) = 2H (x)K(y) over the domain of an abelian group G and the range of the complex field is investigated. Several related results extending a number of previously known ones, such as the ones dealing with the sine functional equation, the d'Alem