“…In this paper, we investigate the solutions of boundary value problems (1.1) with (1.2) for a second-order p-Laplacian difference equation [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. By using the critical point theory [26][27][28], the existence and multiple results are obtained.…”
In this paper, we investigate the solutions of boundary value problems for second-order p-Laplacian difference equations. By using the critical point theory, the existence and multiple results are obtained.
MSC: 39A10; 47J30; 58E05
“…In this paper, we investigate the solutions of boundary value problems (1.1) with (1.2) for a second-order p-Laplacian difference equation [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. By using the critical point theory [26][27][28], the existence and multiple results are obtained.…”
In this paper, we investigate the solutions of boundary value problems for second-order p-Laplacian difference equations. By using the critical point theory, the existence and multiple results are obtained.
MSC: 39A10; 47J30; 58E05
“…containing both advance and retardation [27] by using the mountain pass lemma in combination with periodic approximations. Recently, Shi et al [22] studied the existence of a nontrivial homoclinic orbit for second order pLaplacian difference equations containing both advance and retardation…”
By using critical point theory, some new criteria are obtained for the existence of a nontrivial homoclinic orbit to a higher order difference system containing both many advances and retardations. The proof is based on the mountain pass lemma in combination with periodic approximations. Related results in the literature are generalized and improved.
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