NONTRIVIAL PERIODIC SOLUTIONS OF THE SIN-GORDON EQUATION

NONTRIVIAL PERIODIC SOLUTIONS OF THE SIN-GORDON EQUATION

In this paper, we study the problem of time-periodic solutions of the sin-Gordon equation with Neumann and Dirichlet boundary conditions on an interval. The novelty of the paper lies in the fact that in previous papers the existence of periodic solutions of the sin-Gordon equation on an interval was...

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Bibliographic Details
Main Author: Igor A. Rudakov
Format: Article
Language:Russian
Published: The Fund for Promotion of Internet media, IT education, human development «League Internet Media» 2018-09-01
Series:Современные информационные технологии и IT-образование
Subjects:
Wave equation
periodic solutions
variation method
critical points of the functional
mountain pass theorem
Online Access:http://sitito.cs.msu.ru/index.php/SITITO/article/view/430

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http://sitito.cs.msu.ru/index.php/SITITO/article/view/430

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