The College of Education for Pure Sciences, Department of Mathematics, discussed a doctoral thesis on (the bifurcation of critical points for some smooth functions with the application of boundary value problems)
The thesis presented by the researcher (Zainab Sami Madi) included the complexity of critical points for some smooth functions with the application of boundary value problems.
Thesis objective:
This thesis aims to study the analysis of the complexity of solutions to functions in the third and fourth dimensions, which have the accompanying dimensions of twenty-seven and eighty-seven in addition to that. It studies the analysis of the bifurcation of solutions for a group of functions in the third dimension with different accompanying dimensions by finding the bifurcation equation
Thesis concluded
That the study of branching analysis of these smooth functions is important in the study of finding solutions areas for some non-linear differential equations, which can be dealt with boundary conditions defined on their domain as problems of unitary values ​​and enter as applications in the problems that appear in physics or engineering.