【摘要】 本文研究广义神经传播型非线性拟双曲方程及相应的方程组的初边值问题与周期边界问题,在某些非线性项下方有界及一些非线性项与其各一阶偏导数满足一定的增长条件下,得到了整体强解的存在与唯一性;对解的光滑性,也作了详细的讨论.更多还原

【Abstract】 Initial-Boundary Value problem and periodic boundary problem for nonlinear pseudo-hyperbolic equations (systems) of generalized nerve conduction type are studied.Under the conditions that some nonlinear terms are bounded from below and some nonlinear terms and their partial derivatives satisfy some growth conditions, the existence and uniqueness of the global strong solution are presented.The smoothness of the solution is also discussed in detail.更多还原