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This article is cited in 3 scientific papers (total in 3 papers)
Well-Posed Boundary-Value Problems, Right Hyperbolicity, and Exponential Dichotomy
A. B. Antonevichab, E. V. Panteleevac a Belarusian State University
b University of Bialystok, Poland
c A. S. Pushkin Brest State University
Abstract:
A relationship between the existence of well-posed boundary-value problems and exponential dichotomy for functional equations and linear differential-operator equations on a half-line is considered. It is shown that well-posed boundary-value problems can exist for equations without the exponential dichotomy property.
Keywords:
differential operator equation, boundary-value problem, hyperbolic operator, exponential dichotomy, spectrum.
Received: 30.08.2015
Citation:
A. B. Antonevich, E. V. Panteleeva, “Well-Posed Boundary-Value Problems, Right Hyperbolicity, and Exponential Dichotomy”, Mat. Zametki, 100:1 (2016), 13–29; Math. Notes, 100:1 (2016), 11–23
Linking options:
https://www.mathnet.ru/eng/mzm11125https://doi.org/10.4213/mzm11125 https://www.mathnet.ru/eng/mzm/v100/i1/p13
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