一类三阶微分方程组多点边值问题解的存在性

The Existence of Solution of Muti-point Boundary Value Problem of a Class of Third-order Nonlinear Differential Systems

利用拓扑度理论和上下解方法讨论了一类三阶微分方程组{x′′′(t)+f1(t,y(t),x′(t),x″(t))=0,0≤t≤1,y′′′(t)+f2(t,x(t),y′(t),y″(t))=0,0≤t≤1在适当的条件下解的存在性.

By applying degree theory and the lower and upper solutions method,it was obtained that in suitable conditions the existence of at least a solution to the third-order nonlinear differential systems as follow： {x′′′（t）＋f1（t,y（t）,x′（t）,x″（t））=0,0≤t≤1,y′′′（t）＋f2（t,x（t）,y′（t）,y″（t））=0,0≤t≤1.