### The connection between number and form of bifurcation points and properties of the nonlinear perturbation of Berestycki type

Jolanta Przybycin (1989)

Annales Polonici Mathematici

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Jolanta Przybycin (1989)

Annales Polonici Mathematici

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Jolanta Przybycin (1991)

Annales Polonici Mathematici

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Borisovich, Andrei, Janczewska, Joanna (2005)

Abstract and Applied Analysis

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Ahmed Abbas Mizeal, Mudhir A. Abdul Hussain (2012)

Archivum Mathematicum

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In this paper, we are interested in the study of bifurcation solutions of nonlinear wave equation of elastic beams located on elastic foundations with small perturbation by using local method of Lyapunov-Schmidt.We showed that the bifurcation equation corresponding to the elastic beams equation is given by the nonlinear system of two equations. Also, we found the parameters equation of the Discriminant set of the specified problem as well as the bifurcation diagram.

André L. Vanderbauwhede (1986)

Archivum Mathematicum

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Georgescu, Adelina (2004)

Acta Universitatis Apulensis. Mathematics - Informatics

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Martin Hermann (1984)

Banach Center Publications

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Borisov, Milen, Dimitrova, Neli (2010)

Serdica Journal of Computing

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This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities. * This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–359/2008.

Stewart Welsh (1998)

Colloquium Mathematicae

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