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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 8, Pages 74–83
(Mi ivm9145)
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This article is cited in 12 scientific papers (total in 12 papers)
Generalized Green operator of Noetherian boundary-value problem for matrix differential equation
S. M. Chuiko Donbass State Pedagogical University, 19 Generala Batyuka str., Slavyansk, Donetsk oblast, 84116 Ukraine
Abstract:
We find necessary and sufficient conditions for solvability and the construction of the generalized Green operator for linear boundary-value problem for Noetherian linear matrix differential equation. We propose an operator, which leads linear matrix algebraic equation to the traditional linear algebraic system with a rectangular matrix. We use pseudoinverse Moore–Penrose matrices and orthogonal projections for solving linear algebraic system.
Keywords:
Green operator, Noetherian boundary value problem, matrix differential equation.
Received: 04.01.2015
Citation:
S. M. Chuiko, “Generalized Green operator of Noetherian boundary-value problem for matrix differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 8, 74–83; Russian Math. (Iz. VUZ), 60:8 (2016), 64–73
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https://www.mathnet.ru/eng/ivm9145 https://www.mathnet.ru/eng/ivm/y2016/i8/p74
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Abstract page: | 164 | Full-text PDF : | 38 | References: | 29 | First page: | 3 |
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