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广义算子半群与广义分布参数系统的适定性

广田 朱照强 葛德兴 冯

2010Scientia Sinica MathematicaMathematics被引 3开放获取

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摘要

According to the solving problem of singular distributed parameter system, first of all, the generalized operator semigroup and generalized integral semigroup induced by the bounded linear operator are introduced in Hilbert space; and then the properties of the generalized resolvent operator, generalized operator semigroup, and generalized integral semigroup are discussed; at last, the well-posedness problem of the singular distributed parameter system is discussed.

引用本文(GB/T 7714)

广田 朱, 照强 葛, 德兴 冯. 广义算子半群与广义分布参数系统的适定性[J]. Scientia Sinica Mathematica, 2010.

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DOI:https://doi.org/10.1360/za2010-40-5-477

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