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Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-04
Existence of Time Periodic Solutions for the Modified Swift-Hohenberg Equation
Wei Luo, Xianyun Du
Published: Aug. 30, 2018 | 129 89
DOI: 10.21276/sjpms.2018.5.4.8
Pages: 275-281
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Abstract
In this paper, we consider the existence of time periodic solutions of the modified Swift-Hohenberg equation. We used the Galerkin method. Firstly, by LeraySchauder fixed point theorem, we show the existence of approximate solutions of the modified Swift-Hohenberg equation, then we show the convergence of the approximate solutions, and we also get the uniqueness of the solution to the modified equation