非线性项包含导数的边值问题的一个对称解

Existence of symmetric solutions to boundary value problem with nonlinear term involving derivative

文章研究了非线性项包含低阶导数的一维p-Laplacian动力方程两点边值问题对称正解的存在性,利用锥压缩和锥拉伸不动点定理,得到了边值问题一个对称正解的存在性定理,具有一定的理论意义。

This paper studied the one-dimensional p-Laplacian dynamic equation with nonlinear term involving lower-order derivative for the two-point boundary value problems（BVPs）. The existence of at least one positive symmetric solution was obtained by using the fixed point theorem of cone compression and expansion, which had certain theoretical significance.