Multiple Symmetric Solutions for Discrete Lidstone Boundary Value Problems |
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| Authors: | Patricia JY Wong |
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| Institution: | School of Electrical and Electronic Engineering , Nanyang Technological University , 50 Nanyang Avenue, Singapore , 639798 , Singapore |
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| Abstract: | We offer criteria for the existence of single, double and multiple positive symmetric solutions for the boundary value problem ?2m y(k-m)= f(y(k), ?²y(k-1)….,?SUP>2i y(k-i),…,?2(m-1) y(k-(m-1))), k∈{a+1,…,b+1} ?2i y(a+1-m)=?2i y(b+1+m-2i)=0, 0≤i≤m-1 where m ≥ 1 and (-1)m f can either be positive or the condition can be relaxed. |
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| Keywords: | Positive Symmetric Solutions Difference Equations Boundary Value Problems |
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