Список выпусков > Серия «Математика». 2007. Том 1
Дифференциально-разностные уравнения с фредгольмовым оператором при главной части
Рассматривается редукция вырожденных дифференциально-разностных уравнений с фредгольмовым оператором при главной части к регулярным задачам. Показано, что выбор начальных условий связан с жордановой структурой операторных коэффицинтов уравнений. Решена задача выбора начальных условий. Доказаны теоремы существования и единственности для задач с заданными начальными условиями. Полученные результаты используются для постановки и исследования граничных задач для дифференциальных уравнений в частных производных и разностных уравнений с вырождением.
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