A weak solution to a Kirchhoff type problem with discontinuous nonlinearities

Authors

  • A. Kassidi Sultan Moulay Slimane University, Morocco
  • S. Melliani Sultan Moulay Slimane University, Morocco
  • A. Sabiry Sultan Moulay Slimane University, Morocco
  • G. Zineddaine Sultan Moulay Slimane University, Morocco

DOI:

https://doi.org/10.31926/but.mif.2023.3.65.2.9

Keywords:

Kirchhoff-type problems, weak solution, Neumann boundary condition, discontinuous nonlinearity, Topological degree theory

Abstract

This paper is devoted to the study of a class of Kirchhoff-type problems with discontinuous nonlinearities with Neumann boundary data. Here, by employing the topological degree methods for the abstract Hammerstein equation, we establish the existence of at least one solution.

Author Biographies

A. Kassidi, Sultan Moulay Slimane University, Morocco

Laboratory LMACS, FST of Beni Mellal

S. Melliani, Sultan Moulay Slimane University, Morocco

Laboratory LMACS, FST of Beni Mellal

A. Sabiry, Sultan Moulay Slimane University, Morocco

Laboratory LMACS, FST of Beni Mellal 

G. Zineddaine, Sultan Moulay Slimane University, Morocco

Laboratory LMACS, FST of Beni Mellal

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Published

2023-12-18

Issue

Vol. 3(65) No. 2 (2023)

Section

MATHEMATICS