The boundary value problem of higher order differential equations with delay

Zhimin He 1  and Jianhua Shen 2
  • 1 College of Science, Zhejiang Forestry University, Hangzhou, Zhejiang 311300, P.R. China
  • 2 Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, P.R. China


In the paper, Guo–Krasnoselskii’s fixed point theorem is adapted to study the existence of positive solutions to a class of boundary value problems for higher order differential equations with delay. The sufficient conditions, which assure that the equation has one positive solution or two positive solutions, are derived. These conclusions generalize some existing ones.

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