ON DISCRETE SYSTEMS WITH POTENTIAL OPERATORS
Autor: | V. M. Savchin, P. T. Trinh |
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Rok vydání: | 2022 |
Zdroj: | Vestnik of Samara University. Natural Science Series. 27:74-82 |
ISSN: | 2712-8954 2541-7525 |
DOI: | 10.18287/2541-7525-2021-27-3-74-82 |
Popis: | The main purpose of this work is to study the potentiality of a discrete system obtained from the system of the form C(t, u)u_ (t)+E(t, u) = 0 with continuous time. The definition of potentiality of the corresponding discrete system is introduced. Necessary and sufficient conditions for its potentiality with respect to a given bilinear form are obtained. The algorithm for the construction of the corresponding functionalthe analogue of the Hamiltonian actionis presented. The illustrative example is given. |
Databáze: | OpenAIRE |
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