The shooting method and positive solutions of fourth-order impulsive differential equations with multi-strip integral boundary conditions

Abstract

In this paper, we investigate the existence results of a fourth-order differential equation with multi-strip integral boundary conditions. Our analysis relies on the shooting method and the Sturm comparison theorem. Finally, an example is discussed for the illustration of the main work.

Positive solutions to n-dimensional $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator

“…Meanwhile, boundary value problems with integral boundary conditions arise in lots of applied models [15][16][17] and some scholars have been interested in the BVP with the Riemann-Stieltjes integral boundary conditions, see [18][19][20]. Specially, multi-strip integral boundary value problems have drawn the attention of many scholars and have been extensively used in semiconductor, blood flow, hydrodynamics, etc., see [21][22][23][24][25].…”