A NONLINEAR PSEUDO-HYPERBOLIC SYSTEM

<正> In this paper, a new nonlinear pseudo-hyperbolic system different from the systemsdiscussed in [1-3], is considered. As a simple special case this system contains theaxon equation related to the transfer of bioelectric signal in animal nervous system.For the periodic boundary problem, the Cauchy problem, and the initial-boundary valueproblem of this system, the existence and uniqueness of the global classical solution andof the global generalized solution are proved.