number of downloads : ?
File
language
eng
Author
Anandam Victor
Abodayeh K.
Description
In the classification theory of Riemann surfaces the research for positive or bounded solutions of Δu = Pu, where P >__- 0 is a C^1-function, has played an important role in establishing the similarities between the solutions of this differential equation and the classical harmonic functions. In the discrete potential theory, the Schrödinger operators are to some extent like the equation Δu = Pu. In this note, we develop on an infinite graph, a theory of functions to reflect the properties of the above solutions, without the use of derivatives. This can be used to study discrete Schrödinger and Helmholtz equations in non-locally-finite networks.
Journal Title
島根大学総合理工学研究科紀要. シリーズB
Volume
47
Start Page
19
End Page
35
ISSN
13427121
Published Date
2014-03
NCID
AA12638295
Publisher
島根大学総合理工学研究科
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
他の一覧