Надіслати цю статтю Метод неявних функцій при розв’язуванні багатопараметричних нелінійних спектральних задач
Анотація
Запропоновано новий чисельний метод розв’язування багатопараметричних нелінійних спектральних задач розмірності m для голоморфних оператор-функцій, визначених у банахових просторах. Введено поняття узагальненої задачі Коші, яка полягає у розв’язуванні системи m-1 рівнянь із частинними похідними першого порядку зі спільною початковою умовою. Наведено приклади розв’язування двопараметричних і трипараметричних спектральних задач.
Зразок для цитування: П. О. Савенко, “Метод неявних функцій при розв’язуванні багатопараметричних нелінійних спектральних задач,” Мат. методи та фіз.-мех. поля математики, 63, № 2, 36–50 (2020), https://doi.org/10.15407/mmpmf2020.63.2.36-50
Translation: P. O. Savenko, “Method of implicit functions in the solution of multiparameter nonlinear spectral problems,” J. Math. Sci., 272, No. 1, 38–54 (2023), https://doi.org/10.1007/s10958-023-06398-x
Ключові слова
Посилання
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