基本介紹
- 中文名:餘弦運算元函式
- 外文名:cosine operator function
- 所屬學科:數學
- 所屬問題:抽象空間中的微分方程
- 相關問題:巴拿赫空間、有界線性運算元等
基本介紹
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餘弦運算元函式的生成定理
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餘弦運算元函式(cosine operator function)是用來表示巴拿赫空間中二階線性自治微分方程的解的運算元函式。設X是巴拿赫空間,L(X,X)是映X到X內的有界線性運算元空間,運算元函式C(t):R→L(X,X)若...
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the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.通過對濾子積餘弦運算元函式及生成元譜性質的討論,建立了局部等度連續餘弦運算元函式的譜映象定理。
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