Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space
Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space
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DOI：
10.1080/00036819008839989
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发表时间：
1991
影响因子：
1.1
通讯作者：
L. Byszewski;V. Lakshmikantham
中科院分区：
文献类型：
--
作者：
L. Byszewski;V. Lakshmikantham
本文的目的是给出关于巴纳赫空间中常微分方程的非局部柯西问题解的存在性和唯一性的定理。关于不动点的巴纳赫定理用于证明所考虑问题的解的存在性和唯一性。本文得到的结果可以应用于运动现象的描述，其效果比经典的柯西问题更好。
The aim of the paper is to give a theorem about the existence and uniqueness of a solution of a nonlocal Cauchy problem for an ordinary differential equation in a Banach space. The Banach theorem about the fixed point is used to prove the existence and uniqueness of a solution of the problem considered. The result obtained in this paper can be applied among other things to the description of motion phenomena with better effect than the classical Cauchy problem.