具积分初值条件的$p$-Laplacian 方程解的存在性

Existence of Solutions to a $p$-Laplacian Equation with Integral Initial Condition

中文关键词:  积分初值条件  存在性  拓扑度.

英文关键词:integral initial condition  existence  topological degree.

中文摘要:

      本文研究的是一类带非局部初值的一维$p$-Laplacian 方程, 应用拓扑度方法得到了解的存在性.

英文摘要:

      In this paper, a class of one-dimension $p$-Laplacian equation with nonlocal initial value is studied. The existence of solutions for such a problem is obtained by using the topological degree method.