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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
A mixed problem for a system of first order differential equations with continuous potential
M. Sh. Burlutskaya Voronezh State University, 1, Universitetskaya pl., 394006, Voronezh, Russia
Abstract:
We study a mixed problem for a first order differential system with two independent variables and continuous potential when the initial condition is an arbitrary square summable vector-valued function. The corresponding spectral problem is the Dirac system. It sets the convergence almost everywhere of a formal decision, obtained by the Fourier method. It is shown that the sum of a formal decision is a generalized solution of a mixed problem, understood as the limit of classical solutions for the case of smooth approximation of the initial data of the problem.
Key words:
Fourier method, boundary value problem, Dirac system, generalized solution.
Citation:
M. Sh. Burlutskaya, “A mixed problem for a system of first order differential equations with continuous potential”, Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016), 145–151
Linking options:
https://www.mathnet.ru/eng/isu630 https://www.mathnet.ru/eng/isu/v16/i2/p145
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Abstract page: | 246 | Full-text PDF : | 107 | References: | 44 |
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