On the Existence of Positive Solutions of Resonant and Nonresonant Multipoint Boundary Value Problems for Third-Order Nonlinear Differential Equations
Joint Authors
Yang, Liu
Shen, Chunfang
Liu, Xiping
Xie, Dapeng
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Positive solutions for a kind of third-order multipoint boundary value problem under the non-resonant conditions and the resonant conditions are considered.
In the nonresonant case, by using Leggett-Williams fixed-point theorem, the existence of at least three positive solutions is obtained.
In the resonant case, by using Leggett-Williams norm-type theorem due to O’Regan and Zima, existence result of at least one positive solution is established.
The results obtained are valid and new for the problem discussed.
Two examples are given to illustrate the main results.
American Psychological Association (APA)
Yang, Liu& Shen, Chunfang& Xie, Dapeng& Liu, Xiping. 2013. On the Existence of Positive Solutions of Resonant and Nonresonant Multipoint Boundary Value Problems for Third-Order Nonlinear Differential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-490662
Modern Language Association (MLA)
Yang, Liu…[et al.]. On the Existence of Positive Solutions of Resonant and Nonresonant Multipoint Boundary Value Problems for Third-Order Nonlinear Differential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-490662
American Medical Association (AMA)
Yang, Liu& Shen, Chunfang& Xie, Dapeng& Liu, Xiping. On the Existence of Positive Solutions of Resonant and Nonresonant Multipoint Boundary Value Problems for Third-Order Nonlinear Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-490662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490662