带积分边界条件的奇异三阶边值问题的单调正解

摘要

In this paper,the following singular third-order boundary value problem with integral boundary condition is discussed.Under various assumptions on nonlinear terms,the intervals of a parameter are establish which yield the existence of at least one,infinitely many monotone positive solutions,and the nonexistence results of the boundary value problem by applying monotone iterative technique.Not only the existence of monotone positive solutions for the BVP is obtained but also the iterative schemes for approximating the solutions are established.These iterative schemes start off with a constant function,which is very useful and feasible for computational purpose.%运用单调迭代技巧研究了带积分边界条件的奇异三阶边值问题,在非线性项满足适当的条件下建立了关于参数的区间,得到了边值问题至少存在一个或多个单调正解的若干存在性结果和正解的不存在性结果,并建立了逼近于解的单调迭代序列。