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О применении метода преобразования решений к исследованию разрешимости начальной задачи дифференциальных уравнений в частных производных

О применении метода преобразования решений к исследованию разрешимости начальной задачи дифференциальных уравнений в частных производных

Abstract

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.

Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze