Еволюційні рівняння з псевдобесселевими операторами
We consider a new class of evolutionary equations with operators constructed by non-smooth homogeneous symbols. The theory of the Cauchy problem with initial conditions which are generalized functions of the distribution type is developed. The properties of the Fourier-Bessel transformation of basic...
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Видавничий дім "Академперіодика" НАН України
2007
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/2424 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Еволюційні рівняння з псевдобесселевими операторами / В.В. Городецький, О.М. Ленюк // Доп. НАН України. — 2007. — N 8. — С. 11-15. — Библиогр.: 2 назв. — укр. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We consider a new class of evolutionary equations with operators constructed by non-smooth homogeneous symbols. The theory of the Cauchy problem with initial conditions which are generalized functions of the distribution type is developed. The properties of the Fourier-Bessel transformation of basic and generalized functions, convolutions, convolvers, and multiplicators are studied.
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| ISSN: | 1025-6415 |