Necessary and Sufficient Condition for the Existence of Solutions to a Discrete Second-Order Boundary Value Problem
This paper is concerned with the existence of solutions for the discrete second-order boundary value problem Δ2u(t-1)+λ1u(t)+g(Δu(t))=f(t), t∈{1,2,…,T}, u(0)=u(T+1)=0, where T>1 is an integer, f:{1,…,T}→R, g:R→R is bounded and continuous, and λ1 is the first eigenvalue of the eigenvalue problem Δ...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/951251 |