Abstract
In this paper, we study the existence of multiple positive solutions for fourth-order impulsive differential equation with integral boundary conditions and deviating argument. The main tool is based on the Avery and Peterson fixed point theorem. Meanwhile, an example to demonstrate the main results is given.
Highlights
As an important area of investigation, the theory and applications of the fourth-order ordinary differential equations are emerging
Owing to its various applications in physics, engineering, and material mechanics, a lot of attention has been received by fourth-order differential equation BVPs
Many very interesting and significant cases of BVPs are constituted by integral boundary conditions
Summary
As an important area of investigation, the theory and applications of the fourth-order ordinary differential equations are emerging. From an application of the fixed point index in cones, the existence of at least one symmetric positive solution could be obtained. In , the authors [ ] investigated the fourth-order differential equation with integral boundary conditions,
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