On some properties of elliptic and parabolic functional differential operators arising in nonlinear optics

Quasilinear parabolic functional differential equations containing multiple transformations of spatial variables are considered with the Neumann boundary-value conditions. Sufficient conditions of the Andronov-Hopf bifurcation of periodic solutions are obtained along with expansions of the solutions in powers of a small parameter. Spectral properties of the linearized elliptic operator of this problem are investigated. Necessary and sufficient conditions of normality are obtained for such operators. Examples illustrating their properties are given. © 2008 Springer Science+Business Media, Inc.

Авторы
Издательство
Springer New York LLC
Номер выпуска
5
Язык
Английский
Страницы
649-682
Статус
Опубликовано
Том
153
Год
2008
Организации
  • 1 Department of Differential Equations and Mathematical Physics, Peoples' Friendship University of Russia, Ordzhonikidze str., 3, 117198, Moscow, Russian Federation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3070/
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