Liu, Shibo Multiple periodic solutions for non-linear difference systems involving the \(p\)-Laplacian. (English) Zbl 1274.39009 J. Difference Equ. Appl. 17, No. 11, 1591-1598 (2011). Summary: Using the three critical points theorem, Clark’s theorem and the Morse theory, multiple periodic solutions for non-linear difference systems involving the \(p\)-Laplacian are obtained by variational methods. Cited in 2 Documents MSC: 39A10 Additive difference equations 39A23 Periodic solutions of difference equations 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces Keywords:non-linear difference systems; local linking; three critical points theorem; critical groups; Clark’s theorem PDFBibTeX XMLCite \textit{S. Liu}, J. Difference Equ. Appl. 17, No. 11, 1591--1598 (2011; Zbl 1274.39009) Full Text: DOI References: [1] DOI: 10.1016/0022-1236(73)90051-7 · Zbl 0273.49063 · doi:10.1016/0022-1236(73)90051-7 [2] DOI: 10.1016/j.jmaa.2006.01.028 · Zbl 1103.39005 · doi:10.1016/j.jmaa.2006.01.028 [3] DOI: 10.1002/cpa.3160440808 · Zbl 0751.58006 · doi:10.1002/cpa.3160440808 [4] Chang K.C., Infinite Dimensional Morse Theory and Multiple Solution Problem (1993) [5] Chen P., Adv. Difference Equ. 2007 (2007) [6] DOI: 10.1512/iumj.1972.22.22008 · Zbl 0228.58006 · doi:10.1512/iumj.1972.22.22008 [7] Guo Z.M., Sci. China Ser. A 46 pp 506– (2003) [8] DOI: 10.1112/S0024610703004563 · Zbl 1046.39005 · doi:10.1112/S0024610703004563 [9] Liu J.Q., Kexue Tongbao 17 pp 1025– (1984) [10] Mawhin J., Critical Point Theory and Hamiltonian Systems (1989) · Zbl 0676.58017 [11] Rabinowitz P.H., Minimax Methods in Critical Point Theory with Applications to Differential Equations 65 (1986) · Zbl 0609.58002 [12] DOI: 10.1006/jfan.1996.3121 · Zbl 0889.34059 · doi:10.1006/jfan.1996.3121 [13] DOI: 10.1017/S0308210500003607 · Zbl 1073.39010 · doi:10.1017/S0308210500003607 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.