
В статье рассмотрены методы преобразования решений к исследованию разрешимости задачи Коши для нелинейных дифференциальных уравнений в частных производных второго порядка. В решении найдено интегральное представление.
The article describes the methods of converting solutions to the study of the Cauchy problem solvability for nonlinear partial differential equations of third order. Found an integral representation of solutions.
ИНТЕГРАЛЬНОЕ УРАВНЕНИЕ,INTEGRAL EQUATION,ДИФФЕРЕНЦИАЛЬНОЕ УРАВНЕНИЕ В ЧАСТНЫХ ПРОИЗВОДНЫХ ВТОРОГО ПОРЯДКА,PARTIAL DIFFERENTIAL EQUATION OF THE SECOND ORDER,ПРИНЦИП СЖАТЫХ ОТОБРАЖЕНИЙ,THE PRINCIPLE OF CONTRACTION MAPPINGS,НЕЛИНЕЙНОСТЬ,NONLINEARITY
ИНТЕГРАЛЬНОЕ УРАВНЕНИЕ,INTEGRAL EQUATION,ДИФФЕРЕНЦИАЛЬНОЕ УРАВНЕНИЕ В ЧАСТНЫХ ПРОИЗВОДНЫХ ВТОРОГО ПОРЯДКА,PARTIAL DIFFERENTIAL EQUATION OF THE SECOND ORDER,ПРИНЦИП СЖАТЫХ ОТОБРАЖЕНИЙ,THE PRINCIPLE OF CONTRACTION MAPPINGS,НЕЛИНЕЙНОСТЬ,NONLINEARITY
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