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Using Minimax principle and Linking theorem in crit-ical point theory, we prove the existence of two nontrivial solutionsfor the following second order superlinear dierence systems(P)8<:2x(k 1) + g(k;y(k)) = 0; k2 [1;T];2y(k 1) + f(k;x(k)) = 0; k2 [1;T];x(0) = y(0) = 0;x(T + 1) = y(T + 1) = 0 ;where T is a positive integer, [1,T] is the discrete intervalf1;2;:;Tg; x(k) = x(k + 1) x(k) is the forward dierence operator and42x(k) = 4 (4 x(k)).
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참고문헌 (4)
참고문헌 신청
/ 1986. / Minimax methods in critical point theory with applications todi？？erential equations CBMS Regional Conference Series in Mathematics 65
/ 2000 / Di？？erence equations and inequalities 228
/ 2003 / The existence of periodic and subharmonic solutions fora class of second order superlinear, di？？erence equation 33 : 226 ~ 235
/ 2004 / Multiple positive solutions of singularand nonsingular discrete problems via variational methods 58 (1-2) : 69 ~ 73
/ 2000 / Di？？erence equations and inequalities 228
/ 2003 / The existence of periodic and subharmonic solutions fora class of second order superlinear, di？？erence equation 33 : 226 ~ 235
/ 2004 / Multiple positive solutions of singularand nonsingular discrete problems via variational methods 58 (1-2) : 69 ~ 73
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