Periodic and Subharmonic Solutions for Second Order 𝑝-Laplacian Difference Equations

Proceedings Mathematical Sciences

Bo Zheng²  Yuanbiao Zhang¹  Haiping Shi³  Xia Liu⁴ 

[1] Packaging Engineering Institute, Jinan University, Zhuhai 00, People’s Republic of China$$;College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 000, People’s Republic of China$$;Basic Courses Department, Guangdong Construction Vocational Technology Institute, Guangzhou 00, China$$;Oriental Science and Technology College, Hunan Agricultural University, Changsha 0, People’s Republic of China$$

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

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown