一类非线性双曲型方程的整体解

Global Solution to a Class of Nonlinear Hyperbolic Equations

利用Ｇａｌｅｒｋｉｎ方法结合能量估计讨论了来自于神经传播和具粘性效应的杆的振动问题中具非线性外力的一类非线性双曲型方程，并讨论其初边值问题整体解的存在唯一性．

A class of nonlinear hyperbolic equations with nonlinear force from nerves propagation andvibration of thin bar with elasticity is discussed.The existence and uniqueness of the global solution isproved by using the Garlerkin method combined with energy estimation。