✦ LIBER ✦

A distributional version of functional equations and their stabilities

✍ Scribed by Jaeyoung Chung

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 204 KB
Volume: 62
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.04.016

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Distributional and analytic solutions of

Distributional and analytic solutions of functional differential equations

✍ Kenneth L Cooke; Joseph Wiener 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 725 KB

Characterization of multivariate distrib

Characterization of multivariate distributions through a functional equation of their characteristic functions

✍ Arjun K. Gupta; Truc T. Nguyen; Wei-Bin Zeng 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 605 KB

The multivariate distributions whose characteristic functions satisfy a given integrated functional equation are proved to be essentially multivariate stable (semi-stable) distributions. This generalizes the characterization of univariate distributions in Ramachandran and Rao (1970), Shimizu (1968,

Stability of functional equations in the

Stability of functional equations in the spaces of distributions and hyperfunctions

✍ Jaeyoung Chung 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 187 KB

Making use of the fundamental solution of the heat equation we prove the stability theorems of quadratic functional equation and d'Alembert equation in the spaces of Schwartz distributions and Sato hyperfunctions.

Distributional analog of a functional eq

Distributional analog of a functional equation

✍ E Deeba; Shishen Xio 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 347 KB

m this paper, we shall apply an operator method for casting and solving the distributional analog of functional equations. In particular, the method will be employed to solve fi(z + y) + fz(z -y) + fs(2y) = 0.

Total Stability of Scalar Differential E

Total Stability of Scalar Differential Equations Determined from Their Limiting Functions

✍ Patricia Anderson; S.R. Bernfeld 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 131 KB

Stability of a generalized trigonometric

Stability of a generalized trigonometric functional equation

✍ Janyarak Tongsomporn; Vichian Laohakosol; Charinthip Hengkrawit; Patanee Udomkav 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 308 KB

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