Аннотация:
The paper deals with the problem of the existence of solutions to an inhomogeneous linear differential equation of higher even order. The problem arises while studying soliton and soliton-like solutions to partial differential equations of integrable type. The theorem on necessary and sufficient conditions of the existence of solutions to the differential equation in the Schwartz space of rapidly decreasing functions is proved by means of theory of pseudodifferential operators.
Ключевые слова и фразы:
existence of solutions, higher order differential equations, the Schwartz space of rapidly decreasing functions, pseudodifferential operators.
Поступила в редакцию: 15.09.2019 Исправленный вариант: 14.01.2020
Образец цитирования:
Valerii Samoilenko, Yuliia Samoilenko, “The existence of solutions to an inhomogeneous higher order differential equation in the Schwartz space”, Журн. матем. физ., анал., геом., 16:4 (2020), 454–459
\RBibitem{SamSam20}
\by Valerii~Samoilenko, Yuliia~Samoilenko
\paper The existence of solutions to an inhomogeneous higher order differential equation in the Schwartz space
\jour Журн. матем. физ., анал., геом.
\yr 2020
\vol 16
\issue 4
\pages 454--459
\mathnet{http://mi.mathnet.ru/jmag766}
\crossref{https://doi.org/10.15407/mag16.04.454}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000614632700004}
Цитирование в формате AMSBIB
Обратная связь: