Department of Mathematics
College of Education for Pure Sciences
University of Basrah, Basrah, Iraq
email: mud_abd@yahoo.com
Mudhir A. Abdul Hussain
Abstract:
In this article we use the modify Lyapunov-Schmidt
reduction to find nonlinear Ritz approximation for a Fredholm
functional. This functional corresponds to a nonlinear Fredholm
operator defined by a nonlinear fourth-order differential equation.
Submitted December 24, 2014. Published November 30, 2015.
Math Subject Classifications: 34K18, 34K10.
Key Words: Bifurcation theory; Lyapunov-Schmidt local method;
nonlinear fourth-order differential equation.
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Mudhir A. Abdul Hussain Department of Mathematics College of Education for Pure Sciences University of Basrah, Basrah, Iraq email: mud_abd@yahoo.com |
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