|
Matematicheskie Zametki, 1968, Volume 3, Issue 5, Pages 529–538
(Mi mzm6710)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
On a problem of Bochner and von Neumann
V. V. Zhikov M. V. Lomonosov Moscow State University
Abstract:
The following theorem is proved. If there exists an everywhere dense set $\Gamma$ such that every solution of the equation $v_t'=-iA^*v$ satisfying the condition $v(0)\in\Gamma$ is defined on the entire axis and is bounded, then every compact solution of the equation $u'_t=iAu$ is an almost-periodic function.
Received: 06.07.1967
Citation:
V. V. Zhikov, “On a problem of Bochner and von Neumann”, Mat. Zametki, 3:5 (1968), 529–538; Math. Notes, 3:5 (1968), 337–342
Linking options:
https://www.mathnet.ru/eng/mzm6710 https://www.mathnet.ru/eng/mzm/v3/i5/p529
|
|