Обратная задача для импульсных систем интегро-дифференциальных уравнений второго порядка с двумя векторами переопределения и смешанными максимумами

Исследуется обратная задача для системы обыкновенных интегро-дифференциальных уравнений второго порядка с импульсными воздействиями, смешанными максимумами и двумя векторами переопределения. Путем применения некоторых преобразований получается система нелинейных функциональных интегральных уравнений. Существование и единственность решения нелинейной обратной задачи сводится к однозначной разрешимости системы нелинейных функциональных интегральных уравнений в банаховом пространстве PC([0;T];Rⁿ). Метод последовательных приближений в сочетании его с методом сжимающих отображений используется при доказательстве однозначной разрешимости нелинейных функциональных интегральных уравнений. Затем находятся значения векторов переопределения.

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