Existence, multiplicity, and bifurcation in systems of ordinary differential equations.
Ward, James R. jun. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ward, James R. jun. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dragana Ranković (2011)
Matematički Vesnik
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Liu, Li, Li, Xiangao, Zhuang, Kejun (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Jacques-Élie Furter, Angela Maria Sitta (2010)
Annales de l’institut Fourier
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We implement a singularity theory approach, the path formulation, to classify -equivariant bifurcation problems of corank 2, with one or two distinguished parameters, and their perturbations. The bifurcation diagrams are identified with sections over paths in the parameter space of a -miniversal unfolding of their cores. Equivalence between paths is given by diffeomorphisms liftable over the projection from the zero-set of onto its unfolding parameter space. We apply our results...
Baráková, Lenka, Volokitin, Evgenii P. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Shen, Yun-Qiu, Ypma, Tjalling J. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Stewart, Ian (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Jolanta Przybycin (1995)
Annales Polonici Mathematici
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This paper was inspired by the works of Chiappinelli ([3]) and Schmitt and Smith ([7]). We study the problem ℒu = λau + f(·,u,u',u'',u''') with separated boundary conditions on [0,π], where ℒ is a composition of two operators of Sturm-Liouville type. We assume that the nonlinear perturbation f satisfies the inequality |f(x,u,u',u'',u''')| ≤ M|u|. Because of the presence of f the considered equation does not in general have a linearization about 0. For this reason the global bifurcation...
Negrón-Marrero, Pablo V., Montes-Pizarro, Errol (2011)
The New York Journal of Mathematics [electronic only]
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Hans-Otto Walther (1993)
Annales Polonici Mathematici
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Talibi Alaoui, Hamad, Yafia, Radouane (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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