MULTIPLICITY RESULTS FOR A FOURTH-ORDER DIFFEERNTIAL EQUATION WITH INTEGRAL BOUNDARY CONDITIONS

Authors

  • Tahar Kherraz Tissemsilt University- Ahmed Ben Yahia Elwancharissi, Algeria; Laboratory of Mathematics, Djillali Liabes University
  • Noureddine Bouteraa Oran Graduate School of Economics, Algeria; Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran1
  • Habib Djourdem Faculty of science and technology, Abdelhamid Ibn Badis University

Abstract

This work examines a nonlinear two-point boundary value problem associatedwith a fourth-order differential equation. The problem is reformulated through inversion, enabling the explicit construction and subsequent analysis of the associated Greens function.Employing the Leggett-Williams fixed-point theorem alongside analytical estimates derivedfrom Hölder inequality. A concrete example is constructed to illustrate the applicability ofthe theoretical results.

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Published

2026-08-30

Issue

Volume 31, Number 3, September 2026

Section

Articles