【摘要】 运用非线性电报方程解的渐近理论,讨论了具有初边值条件的电报方程utt-uxx+u+εu2=0解的适定性和时间无穷大时其渐近近似解的合理性,同时使用偏微分方程双扰动方法,研究了在O(ε)近似条件下解的渐近性质.更多还原

【Abstract】 The aim of this paper is to establish the well-posedness and asymptotic validation of solution for the telegraph equationutt-uxx+u+εu2=0by using the asymptotic theory.Meanwhile by using the two-time perturbation techniques,the approximation properties of the solution are inverstigated under the approximate condition O(ε).更多还原