У даній роботі доведено однозначну розв'язність мішаної задачі   для деяких  анізотропних параболічних рівнянь вищих порядків зі змінними показниками нелінійності в необмежених областях
  без умов нескінченності. Також отримано апріорну оцінку узагальнених розв'язків цієї задачі.

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