三阶差分方程边值问题解的存在性

Solution of the Boundary Value Problem of the Third-order Difference Equation

利用代数知识结合Schauder不动点定理研究三阶非线性差分方程边值问题解的存在性与唯一性。

By making use of algebra theory and Schauder fixed point theorem and Contraction mapping theory, we obtain the conditions of existence and uniqueness of solution of the boundary value problem of third-order differ- ence equation： △^3u（t-1）＋f（t,u（t-1）,u（t）,（t＋1）=0,t∈Z（1,N）,u（0）=A,u（1）=B,u（N＋2）=C.