| Title:
|
O jedné spektrální úloze a o Dirichletově úloze pro vlnovou rovnici (Czech) |
| Title:
|
On a spectral problem and on Dirichlet problem for wave equation (English) |
| Title:
|
Sur un problème spectral et sur le problème de Dirichlet pour l'équation des ondes (French) |
| Author:
|
Denčev, Račo T. |
| Language:
|
Czech |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
85 |
| Issue:
|
2 |
| Year:
|
1960 |
| Pages:
|
146-157 |
| Summary lang:
|
French |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35-80 |
| idZBL:
|
Zbl 0138.34801 |
| idMR:
|
MR0125338 |
| DOI:
|
10.21136/CPM.1960.108385 |
| . |
| Date available:
|
2009-09-23T07:10:22Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108385 |
| . |
| Reference:
|
[1] С. Л. Соболев: Об одной новой задаче математической физики.ИAH, 18 (1954), 1, 3-50. Zbl 0995.90535, MR 0069382 |
| Reference:
|
[2] J. Hadamard: On some topics connected with linear partial differential equations.Proc. Benar. Math. Soc., 3 (1921) 39-48. |
| Reference:
|
[3] J. Hadamard: Équations aux dérivées partielles.Les conditions definies en générall- Le cas hyperbolique. Enseignement Math., 35 (1936), 5-42. Zbl 0015.34903, MR 0220566 |
| Reference:
|
[4] J. Hadamard: Le problème de Dirichlet pour les équations hyperboliques.J. Chinese Math. Soc., 2 (1937), 6-20. Zbl 0017.11502 |
| Reference:
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[5] J. Hadamard: On the Dirichlet problem for the hyperbolic case.Proc. Nat. Acad. Sci. USA, 28 (1942), 258-263. Zbl 0063.01842, MR 0006808 |
| Reference:
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[6] A. Huber: Die erste Randwertaufgabe für geschlossene Bereiche bei der Gleichung $\frac{\partial^2 z}{\partial x \partial y}=f(x,y)$.Monatsh. Math. Phys., 39 (1932), 79-100. MR 1550044 |
| Reference:
|
[7] D. G. Bourgin R. Duffin: The Dirichlet problem for the vibrating string equation.Bull. Amer. Math. Soc., 45 (1939), 851-858. MR 0000729 |
| Reference:
|
[8] D. Fox. C. Pucci: The Dirichlet Problem for the wave equation.Annali Mat. Puro-Appl., serie IV, t. XLVI (1958), 155-182. Zbl 0101.31001, MR 0104902 |
| Reference:
|
[9] F. John: The Dirichlet problem for a hyperbolic equation.Amer. Ј. Math., 63 (1941), 141-154. Zbl 0024.20304, MR 0003346 |
| Reference:
|
[10] H. Poincaré: Sur les courbes définies par les équations différentielles.Јourn. de Math pures et appliquées, 4 série, 1, 167-244, chap. XV. (Oeuvres de Henri Poinearé, Tome 1, 137-158.) |
| Reference:
|
[11] A. Denjoy: Courbes définies par les équations différentielles à la surface du tore.Јourn. de Math. pures et appl., 11 (1932), 4, 333-375. Zbl 0006.30501 |
| Reference:
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[12] P. Aлeкcaндpян: .Диccepтaдия, MГУ, Mocквa, 1949. |
| Reference:
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[13] P. Aлeкcaндpян: 06 oднoй зaдaчe Coбoлeвa для cпeциaльнoгo ypaвнeния c чacтными пpoизвoдными чeтвepтoгo пopядкa.ДAH CCCP, 73, (1950), 4, 631-634. |
| Reference:
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[14] P. Aлeкcaндpян: O зaдaчe Диpиxлe для ypaвнeния cтpyны и o пoлнoтe oднoй cиcтемы фyнккций в кpyгe.ДAH CCCP, 73 (1950), 5, 869-872. |
| Reference:
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[15] H. H. Baxaнuя: .Диccepтaция MГУ, Mocквa 1958. |
| Reference:
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[16] H. H. Baxauuя: O зaдaчe Диpиxлe для ypaвнeмия кoлeбaния cтpyны.Cooбщ. Aкaд. нayк Гpyз. CCP, 21 (1958), 2f 131-138. |
| Reference:
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[17] P. Дeнчeв: O cпeктpe oднoгo oпepaтopa.ДAH CCCP, 126 (1959), 2, 259-262. |
| Reference:
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[18] P. Дeнчeв: O зaдaчe Диpиxлe для вoлнoвoгo ypaвнeния.ДAH CCCP 127 (1959), 3, 501-504. |
| Reference:
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[19] C. Л. Coбoлeв: Пpимep кoppeктнoй кpaeвoй зaдaчи для ypaвнeния кoлeбaний cтpyны c дaнными нa вceй гpaницe.ДAH CCCP, 109 (1956), 4, 707-709. |
| Reference:
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[20] H. H. Baxaнuя: Oб oддoй кpaeвoй зaдaчe c зaдaниeм нa вceй гpaницe для гипepбoличecкoй cиcтeмы, эквивaлeнтнoй ypaвнeнию кoлeбaния cтpyны.ДAH CCCP, 116 (1957), 6, 906-909. |
| Reference:
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[21] A. Zygmund: Trigonometrical series.Warszawa 1935. Zbl 0011.01703 |
| . |
