Определения коэффициентной функции в нелинейном дифференциальном уравнении типа Уизема с импульсными воздействиями
https://doi.org/10.17586/2220-8054-2023-14-3-312-320
Аннотация
Изучены вопросы однозначной разрешимости и определения коэффициентной функции переопределения в начальной обратной задаче для нелинейного дифференциального уравнения в частных производных типа Уизема. Модифицированный метод характеристик позволяет дифференциальных уравнений в частных производных первого порядка представить как обыкновенные дифференциальные уравнения, которые описывают изменение неизвестной функции вдоль линии характеристик. Доказана однозначная разрешимость начальной обратной задачи методом последовательных приближений и сжимающих отображений. Определение неизвестного коэффициента сведено к решению нелинейного интегрального уравнения.
Об авторах
Т. К. Юлдашев
Tashkent State University of Economics
Узбекистан
Узбекистан
A. K. Файзиев
Tashkent State University of Economics
Узбекистан
Узбекистан
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Рецензия
Для цитирования:
Юлдашев Т.К., Файзиев A.K. Определения коэффициентной функции в нелинейном дифференциальном уравнении типа Уизема с импульсными воздействиями. Наносистемы: физика, химия, математика. 2023;14(3):312-320. https://doi.org/10.17586/2220-8054-2023-14-3-312-320
For citation:
Yuldashev T.K., Fayziyev A.K. Determination of the coefficient function in a Whitham type nonlinear differential equation with impulse effects. Nanosystems: Physics, Chemistry, Mathematics. 2023;14(3):312-320. https://doi.org/10.17586/2220-8054-2023-14-3-312-320
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