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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Raffaele Chiappinelli (1989)
Commentationes Mathematicae Universitatis Carolinae
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R. Seydel (1983)
Numerische Mathematik
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Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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W. K. Kordylewski (1982)
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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.
Chao-Nien Chen (1991)
Mathematische Zeitschrift
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Stewart Welsh (1998)
Colloquium Mathematicae
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