Yan Sun
Existence of Solutions for the One-Dimensional Fourth-Order p-Laplacian Impulsive Differential Equation Involving Nonlinear Stieltjes Integral Boundary Conditions
Dynamic Systems and Applications 32 (2023) 103-127

https://doi.org/10.46719/dsa2023.32.07

ABSTRACT.
In this paper, we present extended and improved results on the existence of solutions
for the one-dimensional p-Laplacian impulsive differential equation with nonlinear Stieltjes integral
boundary conditions, where the nonlinearity is a a. e. continuous function involving rst order and
second order as well as third order derivative of the unknown abstract function. We also provide
examples to show the valid of our results. In particular, our results unify many known results.

AMS (MOS) Subject Classication. 34B15, 34C10, 35J65.

Key Words and Phrases. Stieltjes integral boundary conditions; Existence; impulsive differential
equation; p-Laplacian.