摘要
本文利用单调迭代方法和 M(?)nch 与 Harten 的一个结果,研究了 IVP(1)最大解和最小解的存在性及迭代逼近.本文的结果改进和推广了文[1—3]中相应的结果,并且证明方法也本质上不同于文[1—3].
In this paper,by use of the monotone iterative method and a result of M(?)nch and Harten,the existence of maximal and minimal solutions and successive approximation of the initialvalue problem for nonlinear integro-differential equations of mixed type in Banach space arestudied.A theorem is obtained which improves and generalizes the related results in [1—3],and the method of proof is different from those in [1—3].
出处
《系统科学与数学》
CSCD
北大核心
1993年第2期160-166,共7页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金的资助
