Banach空间混合型微分-积分方程解的存在唯一性及应用

Existence and uniqueness and applications of solution for nonlinear integro-differential equations in Banach spaces

在不要求f连续的前提下,利用较为宽松的条件研究了Banach空间中非线性混合型微分—积分方程初值问题解的存在唯一性以及解的迭代逼近,改进和推广了最近的一些结果,并有新的应用.

In this paper,the initial value problem of the nonlinear integro-differential equations in Banach spaces is investigated under the condition weaker than the continuity of f.The existence and uniqueness and iterative approximation of solution for the initial value problem is abtained.The results presented here not only improve and extend many results,but also apply to other aspects.