一类非线性积分微分方程的整体解的存在性与非存在性

Existence and Nonexistence of Global Solutions for a Class of Nonlinear Integro Differential Equations

研究了一类非线性积分微分方程的初边值问题 ,证明了其整体解的存在性、惟一性和稳定性及在一定条件下 。

In this paper we study the initial boundary value problems for a class of nonlinear integro differential equations.The existence,uniqueness and stability of the global solutions to the aboved mentioned problem are proved,and some results on the nonexistence of global solutions are also obtained.