Positive Solutions of a Singular Positone and Semipositone Boundary Value Problems for Fourth-Order Difference Equations
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-11-02
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper studies the boundary value problems for the fourth-order nonlinear singular difference equations Δ4u(i−2)=λα(i)f(i,u(i)), i∈[2,T+2], u(0)=u(1)=0, u(T+3)=u(T+4)=0.
We show the existence of positive solutions for positone and semipositone type.
The nonlinear term may be singular.
Two examples are also given to illustrate the main results.
The arguments are based upon fixed point theorems in a cone.
American Psychological Association (APA)
Yuan, Chengjun. 2010. Positive Solutions of a Singular Positone and Semipositone Boundary Value Problems for Fourth-Order Difference Equations. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-462606
Modern Language Association (MLA)
Yuan, Chengjun. Positive Solutions of a Singular Positone and Semipositone Boundary Value Problems for Fourth-Order Difference Equations. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-16.
https://search.emarefa.net/detail/BIM-462606
American Medical Association (AMA)
Yuan, Chengjun. Positive Solutions of a Singular Positone and Semipositone Boundary Value Problems for Fourth-Order Difference Equations. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-462606
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462606
