A Multivalued Nonlinear System with the Vector $p$-Laplacian on the Semi-Infinity Interval

Canadian mathematical bulletin

关键词: semi-infinity interval;    vector $p$-Laplacian;    multivalued nonlinear;    fixed point index;    Hartman condition;    completely continuous map;   

DOI  :  10.4153/CMB-2008-023-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We study a second order nonlinear system driven by the vector$p$-Laplacian, with a multivalued nonlinearity and defined onthe positive time semi-axis $mathbb{R}_+.$ Using degreetheoretic techniques we solve an auxiliary mixed boundary valueproblem defined on the finite interval $[0,n]$ and then via adiagonalization method we produce a solution for the originalinfinite time-horizon system.

【 授权许可】

Unknown