On time asymptotic of solutions of a Cauchy problem with spectral singularities (in Russian) |
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| Author |
Lviv Politechnical Institute
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| Abstract |
A perturbation $T$ of the operator of multiplication by the independent variable in the space
$L_2(0,1)$ is considered. Contributions of the limit spectrum points 0 and 1 into the time
asymptotic of the exponential function $e^{itT}\varphi$ and spectral singularities
of the operator $T$ for smooth elements $\varphi$ are investigated.
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| Keywords |
operator perturbation, multiplication operator, limit spectrum, time asymptotic, exponential function
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| DOI |
doi:10.30970/ms.2.1.64-72
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Reference |
1. Черемных Е.В. Спектральный анализ некоторых несамосопряженных операторов // Укр. мат. журн. 1981. Т.33, N.2. C.227–233.
2. Черемных Е.В. Спектральный анализ некоторых несамосопряженных разностных операторов // Укр. мат. журн. 1983. T.35, N.4. C.467–472. 3. Федорюк М.В. Асимптотика. Интегралы и ряды.– М.: Наука, 1987. 544 с. Lviv Politechnical Institute |
| Pages |
64-72
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| Volume |
2
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| Issue |
1
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| Year |
1993
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |