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Positive Solutions of a General Discrete Dirichlet Boundary Value Problem
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A steady state equation of the discrete heat diffusion can be obtained by the heat diffusion of particles or the difference method of the elliptic equations.
In this paper, the nonexistence, existence, and uniqueness of positive solutions for a general discrete Dirichlet boundary value problem are considered by using the maximum principle, eigenvalue method, sub- and supersolution technique, and monotone method.
All obtained results are new and valid on any n -dimension finite lattice point domain.
To the best of our knowledge, they are better than the results of the corresponding partial differential equations.
In particular, the methods of proof are different.
American Psychological Association (APA)
Li, Xinfu& Zhang, Guang Y.. 2016. Positive Solutions of a General Discrete Dirichlet Boundary Value Problem. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1103551
Modern Language Association (MLA)
Li, Xinfu& Zhang, Guang Y.. Positive Solutions of a General Discrete Dirichlet Boundary Value Problem. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1103551
American Medical Association (AMA)
Li, Xinfu& Zhang, Guang Y.. Positive Solutions of a General Discrete Dirichlet Boundary Value Problem. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1103551
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103551