Mudhir A. Abdul Hussain
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
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