抽象半线性分数阶复合松弛方程的有限维精确可控性

Pub Date : 2023-01-01 DOI:10.2298/fil2308347l

Yixing Liang, Z. Fan, Gang Li

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引用次数: 0

摘要

在Hilbert空间中，研究了一类抽象半线性分数阶复合松弛方程的有限维精确可控性。我们对方程中的参数作了假设，并假设与抽象半线性分数阶松弛方程相关的线性方程是近似可控的。本文应用变分方法、解耦理论和不动点技巧证明了抽象半线性方程的有限维精确可控性。最后给出了一个应用来验证我们的结果。

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Finite-dimensional exact controllability of an abstract semilinear fractional composite relaxation equation

In Hilbert space, the finite-dimensional exact controllability of an abstract semilinear fractional composite relaxation equation is researched. We make assumptions about the parameters in the equation and suppose that the linear equation associated with the abstract semilinear fractional relaxation equation is approximately controllable. We apply the variational method, the resolvent theory and the fixed point trick to demonstrate the finite-dimensional exact controllability of the abstract semilinear equation. An application is given in the last paper to testify our results.

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