首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Existence of solutions for some discrete boundary value problems with a parameter
Authors:Yang Yang  Jihui Zhang
Institution:a School of Science, Jiangnan University, Wuxi, People’s Republic of China
b Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, People’s Republic of China
Abstract:In this paper, the existence and multiplicity results of solutions are obtained for the discrete nonlinear two point boundary value problem (BVP) View the MathML source; u(0)=0=Δu(T), where T is a positive integer, Z(1,T)={1,2,…,T}, Δ is the forward difference operator defined by Δu(k)=u(k+1)-u(k) and f:Z(1,TRR is continuous, λR+ is a parameter. By using the critical point theory and Morse theory, we obtain that the above (BVP) has solutions for λ being in some different intervals.
Keywords:Discrete  Homological nontrivial critical point  Morse theory  Local linking
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号