摘要
其中c_1、c_2为非负常数。近些年来,国内外许多学者对这类方程进行了深刻的研究.M.E.Schonbek研究了神经脉冲传播中的Fitzhugh-Nagumo方程组初边值问题整体经典解存在性,郑宋穆、沈玮熙进一步改进了[3]的结论。C.V.
In this paper,the Cauchy problem for a class of nonlinear pseudo-hyperbolic equations of pulse transmission type are studied which arise in biomechanics under the suitably small initial values.The existance and uniqueness of the global smooth solutions for the equations are proved by means of the energy method and the energy decay estimates are obtained too.
出处
《应用数学学报》
CSCD
北大核心
1991年第4期450-461,共12页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金
