Multiple positive solutions of BVPs for third-order discrete difference systems

作者：Li WT^*; Sun JP

来源：Applied Mathematics and Computation, 2004, 149(2): 389-398.

DOI：10.1016/S0096-3003(03)00147-4

• discrete system
• positive solution
• cone
• fixed point

This paper is concerned with the following system
Delta(3)u(1)(k) + f(1)(k, u(1)(k), u(2)(k)) = 0, k is an element of [0, T] Delta(3)u(2)(k) + f(2)(k, u(1)(k), u(2)(k)) = 0, k is an element of [0, T]
with the Dirichlet boundary condition
u(1)(0) = u(1)(1) = u(1)(T+3) = 0 = u(2)(0) = u(2)(1) = u(2)(T+3)
By using Leggett-Williams fixed point theorem, sufficient conditions are obtained for the existence of three positive solutions to the above system.

• 出版日期2004-2-12
• 单位兰州大学; 兰州理工大学