Multivalent guiding functions in the bifurcation problem of differential inclusions
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Authors
Sergey Kornev
- Faculty of Physics and Mathematics, Voronezh State Pedagogical University, Lenina 86, 394043 Voronezh, Russia.
Yeong-Cheng Liou
- Department of Healthcare Administration and Medical Informatics; and Research Center of Nonlinear Analysis and Optimization and Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan.
Abstract
In this paper we use the multivalent guiding functions method to study the bifurcation problem for differential inclusions with convex-valued right-hand part satisfying the upper Carathéodory and the sublinear
growth conditions.
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ISRP Style
Sergey Kornev, Yeong-Cheng Liou, Multivalent guiding functions in the bifurcation problem of differential inclusions, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 8, 5259--5270
AMA Style
Kornev Sergey, Liou Yeong-Cheng, Multivalent guiding functions in the bifurcation problem of differential inclusions. J. Nonlinear Sci. Appl. (2016); 9(8):5259--5270
Chicago/Turabian Style
Kornev, Sergey, Liou, Yeong-Cheng. "Multivalent guiding functions in the bifurcation problem of differential inclusions." Journal of Nonlinear Sciences and Applications, 9, no. 8 (2016): 5259--5270
Keywords
- Differential inclusion
- bifurcation of periodic solution
- multivalent guiding function
- topological degree.
MSC
References
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