Dua Formula Eksponensial (Operator Linear dari Semigrup)

L. Meisaroh
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Abstract

Assumed A is infinitesimal generator of C0-semigroup T(t) on X. This could be defined as T(t)=etA, applies if A is a bounded linear operator. Not if A is unbounded linear operator, then it will result in one possibility that show T(t) could be represented as etA. This paper will discuss and detail the proof of the other two formulas that show T(t) could be represented as etA.
假设A是x上c0 -半群T(T)的无穷小生成器,这可以定义为T(T)=etA,适用于A是有界线性算子。如果A是无界线性算子,那么它将导致一种可能性,即T(T)可以表示为。本文将讨论并详细证明T(T)可以表示为etA的另外两个公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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