On Structural Stability of Characteristic Nets and the Cauchy Problem for a Tricomi—Cibrario Type Equation
- Авторлар: Davydov A.A.1,2,3, Kasten Y.A.4
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Мекемелер:
- National University of Science and Technology MISIS
- Faculty of Mechanics and Mathematics
- International Institute for Applied Systems Analysis (IIASA)
- Vladimir State University Named after Alexander and Nikolay Stoletovs
- Шығарылым: Том 304, № 1 (2019)
- Беттер: 146-152
- Бөлім: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175743
- DOI: https://doi.org/10.1134/S0081543819010103
- ID: 175743
Дәйексөз келтіру
Аннотация
For a generic second-order linear partial differential equation on the plane, we discuss the problem of nonlocal normal forms and invariants of the family of its characteristics, as well as the current state of the corresponding theory. As an example of potential applications of this theory, we solve a special Cauchy problem for a mixed-type equation.
Авторлар туралы
A. Davydov
National University of Science and Technology MISIS; Faculty of Mechanics and Mathematics; International Institute for Applied Systems Analysis (IIASA)
Хат алмасуға жауапты Автор.
Email: davydov@mi-ras.ru
Ресей, Leninskii pr. 4, Moscow, 119049; Moscow, 119991; Schlossplatz 1, Laxenburg, A-2361
Yu. Kasten
Vladimir State University Named after Alexander and Nikolay Stoletovs
Хат алмасуға жауапты Автор.
Email: julikasten@bk.ru
Ресей, ul. Gor’kogo 87, Vladimir, 600000
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