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arXiv 1603.06293math.FA
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具有非拟解析增长的$N$ -次积分半群的稳定性

On stability of $N$-times integrated semigroups with nonquasianalytic growth

José E. Galé, María M. Martínez, Pedro J. Miana

摘要:

讨论了具有非拟解析增长和可逆生成元的$n$ -次积分半群在无穷远处的性质.所得结果推广了O. El Mennaoui关于有界一次积分半群稳定性的一个定理,以及Q. P. V $\tilde{\rm u}$关于$C_0$ -半群的稳定性.

英文摘要:

We discuss the behaviour at infinity of $n$-times integrated semigroups with nonquasianalytic growth and invertible generator. The results obtained extend in this setting a theorem of O. El Mennaoui on stability of bounded once integrated semigroups, and (partially) a theorem of Q. P. V$\tilde{\rm u}$ on stability of $C_0$-semigroups.

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