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Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem
Joint Authors
Ma, Ruyun
Chang, Yong-Kui
Gao, Chenghua
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-03
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Let a,b be two integers with b-a≥5 and let ?2={a+2,a+3,…,b-2}.
We show the existence of solutions for nonlinear fourth-order discrete boundary value problem Δ4u(t-2)=f(t,u(t), Δ2u(t-1)), t∈?2, u(a+1)=u(b-1)=Δ2u(a)=Δ2u(b-2)=0 under a nonresonance condition involving two-parameter linear eigenvalue problem.
We also study the existence and multiplicity of solutions of nonlinear perturbation of a resonant linear problem.
American Psychological Association (APA)
Ma, Ruyun& Gao, Chenghua& Chang, Yong-Kui. 2010. Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-502301
Modern Language Association (MLA)
Ma, Ruyun…[et al.]. Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-502301
American Medical Association (AMA)
Ma, Ruyun& Gao, Chenghua& Chang, Yong-Kui. Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-502301
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502301