三阶奇异常微分方程超定边值问题

Overdetermined boundary value problems for third-order singular ordinary differential equations on(0,∞)

研究了三阶奇异常微分方程超定边值问题解的存在性,通过将边值问题转化为与它等价的初值问题,应用不动点定理得到了解的存在性,推广和改进了已有的结果,并给出一个显解.

The existence of a solution is discussed in this paper third-th order singular nonlinear ordinary differential equation with overdetermined boundary conditions.In the way that the boundary problem is formally converted into initial value problem that is equivaleut to it,and the fixed point theorem is used,the problem is solved.