Смешанная задача для волнового уравнения в криволинейной полуполосе с разрывными начальными данными

Изучается смешанная задача для одномерного волнового уравнения в криволинейной полуполосе. Начальные условия имеют разрыв первого рода в одной точке. Смешанная задача моделирует задачу о продольном ударе по конечному упругому стержню с подвижной границей. С использованием метода характеристик получено решение в явном аналитическом виде. Для рассматриваемой задачи доказывается единственность решения и устанавливаются условия, при которых существует ее классическое решение.

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