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Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-12-15
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
This paper makes a study on the existence of positive solution to p-Laplacian dynamic equations on time scales ?.
Some new sufficient conditions are obtained for the existence of at least single or twin positive solutions by using Krasnosel'skii's fixed point theorem and new sufficient conditions are also obtained for the existence of at least triple or arbitrary odd number positive solutions by using generalized Avery-Henderson fixed point theorem and Avery-Peterson fixed point theorem.
As applications, two examples are given to illustrate the main results and their differences.
These results are even new for the special cases of continuous and discrete equations, as well as in the general time-scale setting.
American Psychological Association (APA)
Su, You-Hui& Huang, Can-Yun. 2009. Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-27.
https://search.emarefa.net/detail/BIM-449062
Modern Language Association (MLA)
Su, You-Hui& Huang, Can-Yun. Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-27.
https://search.emarefa.net/detail/BIM-449062
American Medical Association (AMA)
Su, You-Hui& Huang, Can-Yun. Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-27.
https://search.emarefa.net/detail/BIM-449062
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449062