Positive solutions for a fourth-order integral boundary value problem involving impulses and the p-Laplacian
Articles
Jiafa Xu
Chongqing Normal University image/svg+xml
https://orcid.org/0000-0001-6537-4167
Zhichun Yang
Chongqing Normal University image/svg+xml
Donal O’Regan
University of Galway
https://orcid.org/0000-0002-4096-1469
Jiangdong Liao
Chongqing Normal University image/svg+xml
Published 2026-04-28
https://doi.org/10.15388/namc.2026.31.46559
PDF

Keywords

fourth-order integral boundary value problem
positive solutions
fixed point index

How to Cite

Xu, J. (2026) “Positive solutions for a fourth-order integral boundary value problem involving impulses and the p-Laplacian”, Nonlinear Analysis: Modelling and Control, 31, pp. 1–25. doi:10.15388/namc.2026.31.46559.

Abstract

In this paper, we investigate the existence of positive solutions for a fourth-order integral boundary value problem involving impulses and the p-Laplacian operator. First, we construct a linear operator that incorporates impulsive effects, and then analyze its spectral radius properties. Subsequently, under suitable conditions on the spectral radius, we apply the fixed point index theory to establish existence theorems for the problem. Our results cover cases where the nonlinear term exhibits (p – 1)-superlinear/sublinear growth, and the impulsive term satisfies superlinear/sublinear growth conditions.

PDF

References

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Downloads

Download data is not yet available.

Most read articles by the same author(s)

<< < 1 2