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.

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CITATION

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

Issue

Vol. 1 No. 2 (2010)

Section

Research Article

License

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