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Positive Solutions for Resonant and Nonresonant Nonlinear Third-Order Multipoint Boundary Value Problems
Joint Authors
Yang, Liu
Xie, Dapeng
Shen, Chunfang
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Positive solutions for a kind of third-order multipoint boundary value problem under the nonresonant conditions and the resonant conditions are considered.
In the nonresonant case, by using the Leggett-Williams fixed point theorem, the existence of at least three positive solutions is obtained.
In the resonant case, by using the Leggett-Williams norm-type theorem due to O’Regan and Zima, the existence result of at least one positive solution is established.
It is remarkable to point out that it is the first time that the positive solution is considered for the third-order boundary value problem at resonance.
Some examples are given to demonstrate the main results of the paper.
American Psychological Association (APA)
Yang, Liu& Shen, Chunfang& Xie, Dapeng. 2013. Positive Solutions for Resonant and Nonresonant Nonlinear Third-Order Multipoint Boundary Value Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-478157
Modern Language Association (MLA)
Yang, Liu…[et al.]. Positive Solutions for Resonant and Nonresonant Nonlinear Third-Order Multipoint Boundary Value Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-478157
American Medical Association (AMA)
Yang, Liu& Shen, Chunfang& Xie, Dapeng. Positive Solutions for Resonant and Nonresonant Nonlinear Third-Order Multipoint Boundary Value Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-478157
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478157