Differential equations of even-order with p-Laplacian like operators: qualitative properties of the solutions

Omar Bazighifan, Thabet Abdeljawad, Qasem M. Al-Mdallal

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

In this paper, we study the oscillation of solutions for an even-order differential equation with middle term, driven by a p-Laplace differential operator of the form {(r(x)Φp[z(κ−1)(x)])′+a(x)Φp[f(z(κ−1)(x))]+∑i=1jqi(x)Φp[h(z(δi(x)))]=0,j≥1,r(x)>0,r′(x)+a(x)≥0,x≥x0>0. The oscillation criteria for these equations have been obtained. Furthermore, an example is given to illustrate the criteria.

Original languageEnglish
Article number96
JournalAdvances in Difference Equations
Volume2021
Issue number1
DOIs
Publication statusPublished - Dec 2021

Keywords

  • Differential equation
  • Even-order
  • Oscillation
  • p-Laplacian equation

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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