半直线上的二阶奇异边值问题研究

Second-order Singular Boundary Value Problems on Half-line

研究半直线上非线性奇异二阶两点边值问题,利用不动点指数理论,通过非线性项函数与相应线性问题第一特征值作比较,证明了半直线上一类非线性奇异二阶两点边值问题正解的存在性,半直线上非线性奇异二阶方程至少有一个正解。

To study the problems of no-linear second-order two point boundary value of half line.Taking advantage of the theory of fixed point index,with the comparison of the first Eigen value of the nonlinear function and the corresponding to the linear problem, to prove the existenee of positive solutions for no-linear second-order two point boundary value of half line. ,At least there is a solution in no-linear second-order two point boundary value function.