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

Ruyun Ma, Chenghua Gao, Xiaoling Han and Xiaoqiang Chen

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-12

Abstract:

Let 𠑇 > 5 be an integer, 𠕋 = { 1 , 2 , … , 𠑇 } . We are concerned with the global structure of positive solutions set of the discrete second-order boundary value problems Δ 2 𠑢 ( 𠑡 − 1 ) + 𠑟 𠑚 ( 𠑡 ) 𠑓 ( 𠑢 ( 𠑡 ) ) = 0 , 𠑡 ∈ 𠕋 , 𠑢 ( 0 ) = 𠑢 ( 𠑇 + 1 ) = 0 , where 𠑟 ∈ ℠is a parameter, 𠑚 ∶ 𠕋 → ℠changes its sign and 𠑚 ( 𠑡 ) ≠0 f o r 𠑡 ∈ 𠕋 .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:624157

DOI: 10.1155/2011/624157

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