On the Construction of a Variational Principle for a Certain Class of Differential-Difference Operator Equations
- Авторлар: Kolesnikova I.A.1
-
Мекемелер:
- Peoples’ Friendship University of Russia (RUDN University)
- Шығарылым: Том 67, № 2 (2021): Dedicated to the memory of Professor N. D. Kopachevsky
- Беттер: 316-323
- Бөлім: Articles
- URL: https://journals.rcsi.science/2413-3639/article/view/327666
- DOI: https://doi.org/10.22363/2413-3639-2021-67-2-316-323
- ID: 327666
Дәйексөз келтіру
Толық мәтін
Аннотация
In this paper, we obtain necessary and sufficient conditions for the existence of variational principles for a given first-order differential-difference operator equation with a special form of the linear operator Pλ(t) depending on t and the nonlinear operator Q. Under the corresponding conditions the functional is constructed. These conditions are obtained thanks to the well-known criterion of potentiality. Examples show how the inverse problem of the calculus of variations is constructed for given differentialdifference operators.
Авторлар туралы
I. Kolesnikova
Peoples’ Friendship University of Russia (RUDN University)
Хат алмасуға жауапты Автор.
Email: kolesnikova-ia@rudn.ru
Moscow, Russia
Әдебиет тізімі
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