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Stability in Generalized Functions
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-12
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider the following additive functional equation with n-independent variables: f(∑i=1nxi)=∑i=1nf(xi)+∑i=1nf(xi-xi-1) in the spaces of generalized functions.
Making use of the heat kernels, we solve the general solutions and the stability problems of the above equation in the spaces of tempered distributions and Fourier hyperfunctions.
Moreover, using the mollifiers, we extend these results to the space of distributions.
American Psychological Association (APA)
Lee, Young-Su. 2011. Stability in Generalized Functions. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-476739
Modern Language Association (MLA)
Lee, Young-Su. Stability in Generalized Functions. Abstract and Applied Analysis No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-476739
American Medical Association (AMA)
Lee, Young-Su. Stability in Generalized Functions. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-476739
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476739