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    • Keywords


      Periodic and subharmonic solutions; 𝑝-Laplacian; difference equations; discrete variational theory.

    • Abstract


      In this paper, some sufficient conditions for the existence and multiplicity of periodic and subharmonic solutions to second order 𝑝-Laplacian difference equations are obtained by using the critical point theory. The proof is based on the Linking theorem in combination with variational technique.

    • Author Affiliations


      Xia Liu1 Yuanbiao Zhang2 Bo Zheng3 Haiping Shi4

      1. Oriental Science and Technology College, Hunan Agricultural University, Changsha 410128, People’s Republic of China
      2. Packaging Engineering Institute, Jinan University, Zhuhai 519070, People’s Republic of China
      3. College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, People’s Republic of China
      4. Basic Courses Department, Guangdong Construction Vocational Technology Institute, Guangzhou 510450, China
    • Dates

  • Proceedings – Mathematical Sciences | News

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