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This article is cited in 1 scientific paper (total in 1 paper)
The Bohl index of a homogeneous parabolic inclusion
V. S. Klimov P. G. Demidov Yaroslavl State University
Abstract:
The Bohl index is associated with a one-parameter family of multi-valued
maps of elliptic type $\mathscr F(t)$, $0\le t<\infty$. It determines
the asymptotic behaviour of solutions of the parabolic inclusion
$0\in y'+\mathscr F(t)y$. Our main aim is to obtain
lower bounds for the Bohl index. We study the
nature of the dependence of solutions of the above inclusion
on the initial value and the map $\mathscr F$.
We prove that the Bohl index is stable with respect
to perturbations that are small on the average.
Keywords:
inclusion, homogeneity, stability, multi-valued map, solution.
Received: 16.02.2009 Revised: 13.04.2009
Citation:
V. S. Klimov, “The Bohl index of a homogeneous parabolic inclusion”, Izv. Math., 75:2 (2011), 347–370
Linking options:
https://www.mathnet.ru/eng/im4088https://doi.org/10.1070/IM2011v075n02ABEH002536 https://www.mathnet.ru/eng/im/v75/i2/p127
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