一类离散P-Laplacian边值问题正解的存在性与多解性

On existence and multiplicity of positive solutions of boundary-value problems of a class of discrete P-Laplacian difference equations

利用锥上的不动点定理及不动点指标理论对一类离散P-Laplacian边值问题正解的存在性进行了讨论,得到了该问题存在一个及两个正解的充分条件.

By using fixed-point theorem in cones and fixed-point index theory, a class of discrete P-Laplaclan boundary value problem was discussed and a sufficient condition of existence of one or two positive solutions was obtained.