Two Modes Bifurcation Solutions of Elastic Beams Equation with Nonlinear Approximation

Authors

  • Mudhir A. Abdul Hussain Department of Mathematics, College of Education, University of Basrah, Basrah

DOI:

https://doi.org/10.26713/cma.v1i2.119

Keywords:

Bifurcation solutions, Local scheme of Lyapunov-Schmidt, Singularities of smooth maps

Abstract

In this paper we studied two modes bifurcation solutions of elastic beams equation by using Lyapunov-Schmidt method. The bifurcation equation corresponding to the elastic beams equation has been found. Also, we studied two modes of nonlinear approximation of bifurcation solutions of a specified equation and we found the Key function corresponding to the functional related to this equation.
359 274

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Issue

Vol. 1 No. 2 (2010)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Hussain, M. A. A. (2010). Two Modes Bifurcation Solutions of Elastic Beams Equation with Nonlinear Approximation. Communications in Mathematics and Applications, 1(2), 123-131. https://doi.org/10.26713/cma.v1i2.119