Xia Liu, Yuanbiao Zhang, Haiping Shi
Abstract:
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 email: xia991002@163.com |
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Yuanbiao Zhang Packaging Engineering Institute Jinan University Zhuhai 519070, China email: abiaoa@163.com |
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Haiping Shi Modern Business and Management Department Guangdong Construction Vocational Technology Institute Guangzhou 510450, China email: shp7971@163.com |
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