Picone Identities of a Certain Class of Conformable Half Linear Anisotropic Biharmonic Equations

Authors

  • Priyadharshini Sundaravadivel PG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram - 637 401, Affiliated to Periyar University, Salem, Tamil Nadu, India
  • Sadhasivam Vadivel PG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram - 637 401, Affiliated to Periyar University, Salem, Tamil Nadu, India
  • Viswanathan Kodakkal Kannan Department of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, University Boulevard 15, Samarkand, 140104, Uzbekistan
  • Sankar Duraisamy Sambasivam School of Applied Sciences and Mathematics, Universiti Teknologi Brunei, Jalan Tungku Link, Gadong BE 1410, Brunei Darussalam

DOI:

https://doi.org/10.11113/mjfas.v21n1.3549

Keywords:

Picone identities, anisotropic biharmonic equations, anisotropic hardy type inequality, oscillation.

Abstract

Main aim of this article, we derive sufficient conditions of new results for Picone identities for a certain class of conformable half-linear anisotropic biharmonic equations. We derive a Strumiancomparison theorem and oscillation results. Furthermore, the oscillation results are different from the most known ones in the sense that they are based on the information for radial solutions. This paper's expand upon and broaden a few of the previously established results for conformable half-linear anisotropic biharmonic equations. If   and then conformable half-linear anisotropic biharmonic equations (4) become the classical biharmonic equation. These novel outcomes add to the body of knowledge already available in the classical example. To illustrate the usefulness of our new results, we give an example.

 

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Published

21-02-2025