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This paper is taken up for the following difference equation problem（P,）（L,y）<sub>k</sub>≡εy（k+1）+a（k,ε）y（k）+b（k,ε）y（k-1）=f（k,ε）（1≤k≤N-1）,B<sub>1</sub>y≡-y（0）+c<sub>1</sub>y（1）=a,B<sub>2</sub>y≡-c<sub>