Controllability for a class of integro-differential evolution equations involving non-local initial conditions
Controllability for a class of integro-differential evolution equations involving non-local initial conditions
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DOI：
10.1080/00207179.2016.1260161
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发表时间：
2017-12
影响因子：
2.1
通讯作者：
He Yang;R. Agarwal;Yue Liang
中科院分区：
文献类型：
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作者：
He Yang;R. Agarwal;Yue Liang
摘要研究了一类具有非局部初始条件的一阶积分-微分发展方程的精确能控性。利用Sadovskii不动点定理，在不假定非局部函数具有紧性和Lipschitz条件的情况下，得到了精确的可控性结果。最后给出了一个算例，说明了抽象结果的有效性。
ABSTRACT This paper deals with the exact controllability for a class of first-order integro-differential evolution equations involving non-local initial conditions. By using Sadovskii fixed point theorem, exact controllability results are obtained without assuming the compactness and Lipschitz conditions for non-local functions. An example is given to illustrate the effectiveness of the abstract results.