Positive Solutions for a Class of Fourth-Order p -Laplacian Boundary Value Problem Involving Integral Conditions
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Under some conditions concerning the first eigenvalues corresponding to the relevant linear operator, we obtain sharp optimal criteria for the existence of positive solutions for p -Laplacian problems with integral boundary conditions.
The main methods in the paper are constructing an available integral operator and combining fixed point index theory.
The interesting point of the results is that the nonlinear term contains all lower-order derivatives explicitly.
Finally, we give some examples to demonstrate the main results.
American Psychological Association (APA)
Sun, Yan. 2015. Positive Solutions for a Class of Fourth-Order p -Laplacian Boundary Value Problem Involving Integral Conditions. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060500
Modern Language Association (MLA)
Sun, Yan. Positive Solutions for a Class of Fourth-Order p -Laplacian Boundary Value Problem Involving Integral Conditions. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060500
American Medical Association (AMA)
Sun, Yan. Positive Solutions for a Class of Fourth-Order p -Laplacian Boundary Value Problem Involving Integral Conditions. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060500
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060500