### Monotone positive solutions of fourth-order boundary value problems with integral boundary conditions

HE Yan-qin, HAN Xiao-ling*

1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
• Published:2019-12-11

Abstract: By using the monotone iterative technique, this article studies the existence of monotone positive solutions for fourth order boundary value problems with integral boundary conditions{u(4)(t)=f(t,u(t),u'(t)), t∈(0,1),u(0)=u'(1)=u(1)=0,u″(0)=∫10g(t)u″(t)dt,where f:［0,1］×［0,+∞)2→［0,+∞) is continuous, g:［0,1］→［0,+∞) is continuous, not only the existence of the positive solution of the problem is obtained, but also the initial value of the iterative sequence is a simple zero function or a primary function.

CLC Number:

• O175.8
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