Shandong Science ›› 2021, Vol. 34 ›› Issue (2): 114-122.doi: 10.3976/j.issn.1002-4026.2021.02.015

• Other Research Article • Previous Articles    

Existence of positive solutions for the nonlinear impulsive differential system boundary value problem

WANG Ming-gao1,2TANG Qiu-yun1   

  1. 1.School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, China;2. Qilu Medical University, Zibo 255300, China
  • Received:2020-04-15 Online:2021-04-13 Published:2021-04-14

Abstract: By creating a special operator, the impulsive problem is transformed into a continuity problem. Then, we use the fixed point theorem of cone expansion and compression to investigate the boundary value problem of a second-order nonlinear impulsive differential system. Consequently, we confirm the existence of multiple positive solutions.

Key words: impulsive differential system, boundary value problem, cone, multiple positive solutions

CLC Number: 

  • O175.8