On the Well-Posedness of a Two-Point Boundary-Value Problem for a System with Pseudodifferential Operators
We investigate the problem of the well-posedness of a boundary-value problem for a system of pseudodifferential equations of arbitrary order with nonlocal conditions. The equation and boundary conditions contain pseudodifferential operators whose symbols are defined and continuous in a certain domai...
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| Date: | 2005 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2005
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/165823 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Well-Posedness of a Two-Point Boundary-Value Problem for a System with Pseudodifferential Operators / E. Kengne // Український математичний журнал. — 2005. — Т. 57, № 8. — С. 1131 – 1136. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We investigate the problem of the well-posedness of a boundary-value problem for a system of pseudodifferential equations of arbitrary order with nonlocal conditions. The equation and boundary conditions contain pseudodifferential operators whose symbols are defined and continuous in a certain domain H ⊂ ℝᵐσ. A criterion for the existence and uniqueness of solutions and for the continuous dependence of the solution on the boundary function is established. |
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