Modify Lyapunov-Schmidt Method for Nonhomogeneous Differential Equation

Hadeel G. Abd Ali, Mudhir A. Abdul Hussain

Modify Lyapunov-Schmidt Method for Nonhomogeneous Differential Equation

Authors

Hadeel G. Abd Ali, Mudhir A. Abdul Hussain Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basra, Iraq Author

Keywords:

Modify Lyapunov-Schmidt method, Caustic, Bifurcation theorem.

Abstract

The Lyapunov-Schmidt reduction for nonhomogeneous problems is modified when the dimension of the null space is two. The novel method was utilized to approximate the solutions of the nonlinear wave equation. This equation's related key function has been identified.