一类一阶积分微分方程初值问题解的存在性

EXISTANCE OF SOLUTIONS OF INITIAL VALUE PROBLEM FOR ONE CLASS FIRST ORDER INTEGRO-DIFFERENTIAL EQUATIONS

利用M nch不动点定理 ,讨论了Banach空间中半直线上一阶积分微分方程初值问题解的存在性 .作为其应用 ,给出了一个例子 .

Using Mnch fixed point theorem,we deal with the existence of solutions of initial value problem for first order integro-differential equations on half-line in Banach spaces.One example is given to show the applications of our results.