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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Olivier Baconneau, Claude-Michel Brauner, Alessandra Lunardi (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Meng, Yijie, Wang, Yifu (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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.
Gulgowski, Jacek (2001)
Journal of Inequalities and Applications [electronic only]
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