Title:
|
Periodic solutions of abstract differential equations: the Fourier method (English) |
Author:
|
Herrmann, Leopold |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
30 |
Issue:
|
2 |
Year:
|
1980 |
Pages:
|
177-206 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
34G20 |
MSC:
|
35B10 |
idZBL:
|
Zbl 0445.35013 |
idMR:
|
MR566046 |
DOI:
|
10.21136/CMJ.1980.101671 |
. |
Date available:
|
2008-06-09T14:38:39Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101671 |
. |
Reference:
|
[1] S. Agmon: Lectures on elliptic boundary value problems.Van Nostrand, Princeton-New Jersey 1965. Zbl 0142.37401, MR 0178246 |
Reference:
|
[2] O. V. Běsov V. P. Iljin S. M. Nikol'skij: Integral representations of functions and embedding theorems.(Russian.) Izd. Nauka, Moskva 1975. MR 0430771 |
Reference:
|
[3] A. I. Hinčin: Continued fractions.(Russian.) Fizmatgiz, Moskva 1961. |
Reference:
|
[4] A. Kufner J. Kadlec: Fourier series.Academia, Praha 1971. MR 0393989 |
Reference:
|
[5] O. A. Ladyženskaja: Mixed problem for a hyperbolic equation.(Russian.) Gos. izd. teh.-teor. lit., Moskva 1953. MR 0071631 |
Reference:
|
[6] J.-L. Lions: Equations différentielles opérationnelles et problèmes aux limites.Springer-Verlag, Berlin-Göttingen-Heidelberg 1961. Zbl 0098.31101, MR 0153974 |
Reference:
|
[7] J.-L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires.Dunod, Paris 1969. Zbl 0189.40603, MR 0259693 |
Reference:
|
[8] J.-L. Lions E. Magenes: Problèmes aux limites non homogenes et applications I.Dunod, Paris 1968. |
Reference:
|
[9] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Praha 1967. MR 0227584 |
Reference:
|
[10] B. Novák: Remark on periodic solutions of linear wave equation in one dimension.Comment. Math. Univ. Carolinae 15 (1974), 513 - 519. MR 0355354 |
Reference:
|
[11] G. Prodi A. Ambrosetti: Analisi nonlineare. Scuola normale superiore.Pisa 1973. |
Reference:
|
[12] P. H. Rabinowitz: Periodic solutions of nonlinear hyperbolic partial differential equations.Comm. Pure Appl. Math. 20 (1967), 145-205. Zbl 0152.10003, MR 0206507, 10.1002/cpa.3160200105 |
Reference:
|
[13] I. Straškraba: Existence and uniqueness of periodic solutions of linear differential equations in Banach spaces.Czechoslovak Math. J. (to appear). MR 0646712 |
Reference:
|
[14] H. Triebel: Höhere Analysis.VEB, Berlin 1972. Zbl 0257.47001 |
Reference:
|
[15] O. Vejvoda, al.: Partial differential equations: time periodic solutions.Sijthoff-Nordhoff (to appear). Zbl 0501.35001 |
. |