摘要
本文利用α≠β文的近似解,证明了Sine—Gordon方程的第五问题(α≠β)解的存在性(含收敛性).对第三、四问题,用特殊的网格布置法,把它们的支柱化为“对称性”的问题.用类似α≠β的方法构造它们的近似解,并证明了解的存在性.
By means of the approximate solution to the Sine-Gorden Epuation, Porblem 5(α≠β), the existence of the solution, with its convergence inherent, is proved in this paper, while the existence of solution to the third and the fourth problems is proved by constructing their approximate solutions with the method similar as that in case of α=β after transforming their supports into a symmetrical type.
出处
《北方交通大学学报》
CSCD
北大核心
1992年第1期53-59,共7页
Journal of Northern Jiaotong University
关键词
存在性
S-G方程
近似解
定解问题
nonlinear partial differential equation
numerical analysis
method of calculation
