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Scholars Journal of Engineering and Technology | Volume-7 | Issue-04
Existence of Periodic Solutions of Nonlinear Strain Waves Equations
Jie Liu, Xianyun Du
Published: April 30, 2019 | 77 59
DOI: 10.36347/sjet.2019.v07i04.006
Pages: 144–151
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Abstract
In this paper, we consider the existence of time periodic solutions of the nonlinear strain wave’s equation. The method we use is similar to the existence of periodic solution of the navier-stokes equations. Firstly, by Leray-Schauder fixed point theorem, we show the existence of approximate solutions of the modified nonlinear strain wave’s equation, then we show the convergence of the approximate solutions, and we also get the uniqueness of the solution to the modified equation.