一类拟线性常微分方程奇异边值问题的可解性

The Solvability of Singular Boundary Value Problems for a Class of Quasilinear Ordinary Differential Equations

研究一类拟线性常微分方程两点奇异边值问题的可解性,其中非线性项没有单调性条件,应用首次积分法,得到了此类两点奇异边值问题存在惟一解的充分必要条件.

We study the solvability of solutions of a class of two points singular boundary value problem,where the nonlinearity is not need to be monotonous; By the first integral method,we obtain the necessary and sufficient condition of uniqueness of solutions to the problem.