In this paper, we establish Lyapunov-type inequalities for a single higher-order differential equation, a cycled system and a coupled system with one-dimensional p -Laplacian. Our result generalize some given results.
Using a fixed-point theorem in cones, we obtain sufficient conditions for the multiplicity of positive solutions for four-point boundary value problems of third-order impulsive differential equations with p-Laplacian.
This paper investigates the existence and multiplicity of positive solutions for a second-order delay p-Laplacian boundary value problem. By using fixed point index theory, some new existence results are established.
Asymptotic properties and estimate of singular solutions (either defined on a finite interval only or trivial in a neighbourhood of ∞) of the second order delay differential equation with p-Laplacian are investigated.