The structure of Cauchy function of a vector quasidifferential equation

Author
O. V. Makhney, R. M. Tatsiy
National University “Lvivs'ka Polytechnika”,st. S. Bandery,12, 79013, Lviv, Ukraine, Akademia Bydgoska im. Kazimierza Wielkego, Institute,of Mathematics, pl. Weyssenhoffa 11, PL-85-072, Bydgoszcz, Poland
Abstract
The representation of a Cauchy matrix-function of a vector quasidifferential equation and its mixed quasiderivatives in the sense of the initial equation and the adjoint equation is constructed using a fundamental system of solutions and their quasiderivatives. Every element of such a matrix-function may be represented in the form of a ratio of two determinants, where the second one is a quasiwronskian and the first one differs from it by only one row.
Keywords
Cauchy matrix-function, vector quasidifferential equation, quasiderivative
DOI
doi:10.30970/ms.21.2.221-224
Reference
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4. Tatsij R., Newiadowska I., Stasiuk M. The construction of the Cauchy function for quasidifferential equations with distributions // International school-seminar “Continued Fractions, its Generalization and Application” (19–24 August 2002., Uzhgorod). – Uzhgorod: UzhNU, 2002. – P. 28–29.

Pages
221-224
Volume
21
Issue
2
Year
2004
Journal
Matematychni Studii
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