Multivalent guiding functions in the bifurcation problem of differential inclusions

Kornev, Sergey¹ ; Liou, Yeong-Cheng²

¹ Faculty of Physics and Mathematics, Voronezh State Pedagogical University, Lenina 86, 394043 Voronezh, Russia
² 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

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 8, p. 5259-5270.

Résumé

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.

Détail

DOI : 10.22436/jnsa.009.08.12

Classification : 34A60, 34C25, 34C23
Keywords: Differential inclusion, bifurcation of periodic solution, multivalent guiding function, topological degree.

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