Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem

Joint Authors

Ma, Ruyun
Lu, Yanqiong

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-03-12

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

we show the existence and multiplicity of positive solutions of the nonlinear discrete fourth-order boundary value problem Δ4ut-2=λhtfut, t∈T2, u1=uT+1=Δ2u0=Δ2uT=0, where λ>0, h:T2→(0,∞) is continuous, and f:R→[0,∞) is continuous, T>4, T2=2,3,…,T.

The main tool is the Dancer's global bifurcation theorem.

American Psychological Association (APA)

Ma, Ruyun& Lu, Yanqiong. 2012. Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-508030

Modern Language Association (MLA)

Ma, Ruyun& Lu, Yanqiong. Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-508030

American Medical Association (AMA)

Ma, Ruyun& Lu, Yanqiong. Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-508030

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-508030