ON DISCRETE SYSTEMS WITH POTENTIAL OPERATORS

Autor: V. M. Savchin, P. T. Trinh
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