Remarks on Krasnoselskii bifurcation theorem
Raffaele Chiappinelli (1989)
Commentationes Mathematicae Universitatis Carolinae
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Raffaele Chiappinelli (1989)
Commentationes Mathematicae Universitatis Carolinae
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Jolanta Przybycin (1991)
Annales Polonici Mathematici
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Stewart Welsh (1998)
Colloquium Mathematicae
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Jolanta Przybycin (1989)
Annales Polonici Mathematici
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Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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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.
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.