Xia Liu, Yuanbiao Zhang, Haiping Shi
Using critical point theory, we obtain criteria for the existence and multiplicity of periodic and subharmonic solutions to fourth-order p-Laplacian difference equations. The proof is based on the Linking Theorem in combination with variational technique. Recent results in the literature are generalized and improved.
Submitted November 17, 2013. Published January 14, 2014.
Math Subject Classifications: 39A11.
Key Words: Periodic and subharmonic solution; p-Laplacian; difference equation; discrete variational theory.
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| Xia Liu |
Oriental Science and Technology College
Hunan Agricultural University
Changsha 410128, China
| Yuanbiao Zhang |
Packaging Engineering Institute
Zhuhai 519070, China
| Haiping Shi |
Modern Business and Management Department
Guangdong Construction Vocational Technology Institute
Guangzhou 510450, China
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