Email this article Well-posedness of the analytic Cauchy problem in classes of entire functions of finite order
- Authors: Biryukov A.M.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute,”
- Issue: Vol 53, No 10 (2017)
- Pages: 1303-1317
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154589
- DOI: https://doi.org/10.1134/S001226611710007X
- ID: 154589
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Abstract
We study the Cauchy problem for a system of complex linear differential equations in scales of spaces of functions of exponential type with an integral metric. Conditions under which this problem is well posed are obtained. These sufficient conditions are shown to be also necessary for the well-posedness of the Cauchy problem in the case of systems of ordinary differential equations with a parameter.
About the authors
A. M. Biryukov
National Research University “Moscow Power Engineering Institute,”
Author for correspondence.
Email: birukovalmix@mail.ru
Russian Federation, Moscow, 111250
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