### Existence of positive solutions for boundary value problems of third-order delay differential equations

LUO Qiang, HAN Xiao-ling*, YANG Zhong-gui

1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
• Published:2019-10-12

Abstract: By applying the fixed point theorem on the cone, this paper studies the existence of positive solutions for boundary value problems of third-order delay differential equation{u(t)+λa(t)f(t,u(t-τ))=0, t∈(0,1),τ>0,u(t)=0,-τ≤t≤0,u(0)=u″(0)=0,u(1)=αu(η)where λ is parameter, and 0<η<1, 0<α<1/η, f:［0,1］×［0,∞］→［0,∞) is continuous.

CLC Number:

• O175.8
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