Existence of homoclinic orbit for second-order nonlinear difference equation.
Chen, Peng, Xiao, Li (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Chen, Peng, Tang, X.H. (2010)
Advances in Difference Equations [electronic only]
Tian, Yu, Ge, Weigao (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Tan, Weiming, Zhou, Zhan (2010)
International Journal of Mathematics and Mathematical Sciences
Zheng, Bo, Xiao, Huafeng (2010)
International Journal of Mathematics and Mathematical Sciences
Guo, Zhenyu, Liu, Min (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Migda, Małgorzata (2004)
Applied Mathematics E-Notes [electronic only]
Zheng, Bo, Xiao, Huafeng, Shi, Haiping (2011)
Boundary Value Problems [electronic only]
Xin-Ge Liu, Mei-Lan Tang (2014)
Applications of Mathematics
Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.
Yuan, Huting, Zhang, Guang, Zhao, Hongliang (2007)
Discrete Dynamics in Nature and Society
Zhang, Binggen, Xing, Qiuju (2006)
Discrete Dynamics in Nature and Society
Ma, Ruyun, Li, Jiemei, Gao, Chenghua (2010)
Discrete Dynamics in Nature and Society
Xingyong Zhang, Xianhua Tang (2012)
Applications of Mathematics
The existence of solutions for boundary value problems for a nonlinear discrete system involving the -Laplacian is investigated. The approach is based on critical point theory.
Zhang, Qin Qin (2006)
Applied Mathematics E-Notes [electronic only]
Song, Changxiu (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Ma, Ruyun, Gao, Chenghua, Chang, Yongkui (2010)
Discrete Dynamics in Nature and Society
He, Tieshan, Yang, Fengjian (2009)
Discrete Dynamics in Nature and Society
Gao, Chenghua (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Cabada, Alberto (2006)
Advances in Difference Equations [electronic only]
Daqing Jiang, Li Li Zhang, Donal O'Regan, Ravi P. Agarwal (2004)
Archivum Mathematicum
In this paper we establish the existence of single and multiple solutions to the positone discrete Dirichlet boundary value problem where , and our nonlinear term may be singular at .