一类四阶微分方程组的三点边值问题

A Type of Forth Order Differential Equation Group with Three-pointed Boundary Value Problem

研究这样一类四阶微分方程组 y″ =f(t,y ,z,y′ ,z′) z″ =g(t,y ,z,z′)满足三点边值条件 y(- 1) =A ,y(1) =B ,Z(0 ) =C0 ,Z′(0 ) =C1,的解的存在性及微分不等式 ,并将其结果应用于处理四阶微分方程的三点边值问题 .

This paper considers existence of solution and differential inequation for this type of forth order differential equation group.y″=f(t,y,z,y′,z′), -1<t<1,z″=g(t,y,z ,z′), -1<t<1,With the three-pointed value boundary conditions Y(-1)=A,Y(1)=B,Z(0)=C 0, Z′(0)=C 1 Then using the resultes,it deal with the three-pointed volue boundary problem for forth order ordinary differential equation.