Upper and Lower Solutions form-Point Impulsive BVP with One-Dimensionalp-Laplacian

Junfang Zhao, Jianfeng Zhao, Weigao Ge
2013 Discrete Dynamics in Nature and Society  
Upper and lower solutions theories are established for a kind ofm-point impulsive boundary value problems withp-Laplacian. By using such techniques and the Schauder fixed point theorem, the existence of solutions and positive solutions is obtained. Nagumo conditions play an important role in the nonlinear term involved with the first-order derivatives.
doi:10.1155/2013/783509 fatcat:bwl5hx7slrdwxf2dfkq3pf2yjm