Bifurcation Diagram of W(u_j;τ)-Function with (p,q)-Parameters

Zainab S.  Madhi; Mudhir A.  Abdul Hussain

doi:10.24996/ijs.2022.63.2.23

Authors

Zainab S. Madhi Department of Mathematics, College of Sciences, University of Basrah, Basrah 61001, Iraq
Mudhir A. Abdul Hussain Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.2.23

Keywords:

Classification of critical points, caustic and Lyapunov-Schmidt method

Abstract

This study aims to classify the critical points of functions with 4 variables and 8 parameters, we found the caustic for the certain function with the spreading of the critical points. Finally, as an application, we found the bifurcation solutions for the equation of sixth order with boundary conditions using the Lyapunov-Schmidt method in the variational case.