Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems
Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems
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DOI：
10.1016/j.na.2004.03.026
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发表时间：
2004-06-01
影响因子：
1.4
通讯作者：
Bahuguna, D
中科院分区：
文献类型：
--
作者：
Bahuguna, D
研究了Banach空间中的一类半线性非局部泛函微分问题。我们首先建立了一个温和解的存在性、唯一性和延续性。然后在不同条件下证明了该温和解的一些规律性结果。最后，我们考虑了抽象结果的一些应用。(C) 2004 Elsevier Ltd.版权所有。
In this paper, we consider a semilinear nonlocal functional differential problem in a Banach space. We first establish the existence, uniqueness and continuation of a mild solution. We then prove some regularity results for this mild solution under different conditions. Finally, we consider some applications of the abstract results. (C) 2004 Elsevier Ltd. All rights reserved.