Отправить статью по E-mail The Wave Model of the Sturm–Liouville Operator on an Interval
- Авторы: Simonov S.A.1,2
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Учреждения:
- St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
- St. Petersburg State University
- Выпуск: Том 243, № 5 (2019)
- Страницы: 783-807
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243161
- DOI: https://doi.org/10.1007/s10958-019-04578-2
- ID: 243161
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Аннотация
In the paper the wave functional model of a symmetric restriction of the regular Sturm-Liouville operator on an interval is constructed. The model is based upon the notion of the wave spectrum and is constructed according to an abstract scheme, which was proposed earlier. The result of the construction is a differential operator of the second order on an interval, which differs from the original operator only by a simple transformation.
Об авторах
S. Simonov
St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences; St. Petersburg State University
Автор, ответственный за переписку.
Email: sergey.a.simonov@gmail.com
Россия, St. Petersburg; St. Petersburg
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