Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight

Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight

Let T>5 be an integer, T={1,2,…,T}. We are concerned with the global structure of positive solutions set of the discrete second-order boundary value problems Δ2u(t-1)+rm(t)f(u(t))=0,  t∈T,  u(0)=u(T+1)=0, where r∈ℝ is a parameter, m:T→ℝ changes its sign and m(t)≠0 for  t∈T....

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2011-01, Vol.2011 (2011), p.1117-1128
Hauptverfasser: Ma, Ruyun, Gao, Chenghua, Han, Xiaoling, Chen, Xiaoqiang
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Fuzzy sets
Set theory
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Zusammenfassung:Let T>5 be an integer, T={1,2,…,T}. We are concerned with the global structure of positive solutions set of the discrete second-order boundary value problems Δ2u(t-1)+rm(t)f(u(t))=0,  t∈T,  u(0)=u(T+1)=0, where r∈ℝ is a parameter, m:T→ℝ changes its sign and m(t)≠0 for  t∈T.
ISSN:1026-0226
1607-887X
DOI:10.1155/2011/624157