Bounded solutions of nonlinear hyperbolic equations with time delay

We consider the initial value problem (Forumala Presented). For a nonlinear hyperbolic equation with time delay in a Hilbert space with the self adjoint positive definite operator A. We establish the existence and uniqueness of a bounded solution, and show application of the main theorem for four nonlinear partial differential equations with time delay. We present first and second order accuracy difference schemes for the solution of one dimensional nonlinear hyperbolic equation with time delay. Numerical results are also given. © 2018 Texas State University.

Авторы
Ashyralyev A. 1, 2, 3 , Agirseven D.4
Редакторы
-
Издательство
-
Номер выпуска
-
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
DOI
-
Номер
21
Том
2018
Год
2018
Организации
  • 1 Department of Mathematics, Near East University, Lefkosa, Mersin, 10, Turkey
  • 2 Peoples’ Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, Trakya University, Edirne, Turkey
Ключевые слова
Bounded solution; Nonlinear hyperbolic equation; Time delay
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6902/