In this paper, the author studies the boundary value problems for a p-Laplacian functional difference equation. By using a fixed point theorem in cones, sufficient conditions are established for the existence of the p...In this paper, the author studies the boundary value problems for a p-Laplacian functional difference equation. By using a fixed point theorem in cones, sufficient conditions are established for the existence of the positive solutions.展开更多
In this paper, we study the multiplicity of positive solutions for a class of p-Laplacian difference equations with delay. We propose sufficient conditions for the existence of at least three positive solutions and we...In this paper, we study the multiplicity of positive solutions for a class of p-Laplacian difference equations with delay. We propose sufficient conditions for the existence of at least three positive solutions and we also provide two numerical examples to illustrate the theoretical results.展开更多
In this paper, we study a nonlinear Dirichlet boundary value problem for difference equations involving the p-Laplacian with two positive parameters. One result on the existence of at least three solutions for this pr...In this paper, we study a nonlinear Dirichlet boundary value problem for difference equations involving the p-Laplacian with two positive parameters. One result on the existence of at least three solutions for this problem is obtained using critical point theory.展开更多
基金Supported by the NNSF of China(10571064)Supported by the NSF of Guangdong Province(O11471)
文摘In this paper, the author studies the boundary value problems for a p-Laplacian functional difference equation. By using a fixed point theorem in cones, sufficient conditions are established for the existence of the positive solutions.
基金The NSF (11071102) of Chinathe Research Fund (10JDG124) for High-level Group of Jiangsu Universitythe NSF (11KJD110001) for Colleges and Universities in Jiangsu Province
文摘In this paper, we study the multiplicity of positive solutions for a class of p-Laplacian difference equations with delay. We propose sufficient conditions for the existence of at least three positive solutions and we also provide two numerical examples to illustrate the theoretical results.
基金supported by the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401120001)the Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028)+1 种基金211 Project of Anhui University(02303129,KJTD002B,0230330333030011,02303902-39020011,KYXL2012004,XJYJXKC04)Anhui Provincial Nature Science Foundation(1408085MA02,1208085MA13,1308085MA01)
文摘In this paper, we study a nonlinear Dirichlet boundary value problem for difference equations involving the p-Laplacian with two positive parameters. One result on the existence of at least three solutions for this problem is obtained using critical point theory.
