一类不连续三阶两点边值问题的变号解
Sign-changing solution of a class of discontinuous third-order two-point boundary value problems
-
摘要: 考察了一类含有一、二阶导数的奇异三阶两点边值问题的变号解,其中非线性项为强Caratheodory函数.通过估计非线性项的高度函数的积分建立了一个新的存在定理.主要工具是Hammerstein积分方程及Shaud-er不动点定理.Abstract: The sign-changing solution is considered for a class of singular third-order two-point boundary value problems with first and second derivatives,where the nonlinear term is a strong Caratheodory function.By estimating integration of the height function of nonlinear term,a new existence theorem is established.The main tools are the Hammerstein integral equation and the Schauder fixed point theorem.
下载: