| Title:
|
Periodic solutions to abstract differential equations (English) |
| Author:
|
Straškraba, Ivan |
| Author:
|
Vejvoda, Otto |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
23 |
| Issue:
|
4 |
| Year:
|
1973 |
| Pages:
|
635-669 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
34G05 |
| MSC:
|
35B10 |
| MSC:
|
47A50 |
| MSC:
|
47H15 |
| idZBL:
|
Zbl 0275.34063 |
| idMR:
|
MR0499577 |
| DOI:
|
10.21136/CMJ.1973.101206 |
| . |
| Date available:
|
2008-06-09T14:04:33Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101206 |
| . |
| Reference:
|
[1] С. T. Taam: Stability, periodicity, and almost periodicity of the solutions of nonlinear differential equations in Banach spaces.J. Math. Mech. 15 (1966), 849-876. MR 0196241 |
| Reference:
|
[2] С. T. Taam: On nonlinear diffusion equations.J. Diff. Eq., 3 (1967), 482-499. Zbl 0162.15402, MR 0217411, 10.1016/0022-0396(67)90013-7 |
| Reference:
|
[3] F. E. Browder: Periodic solutions of nonlinear equations of evolution in infinite dimensional spaces.Lecture Series in Differential Equations, University of Maryland, 1966. |
| Reference:
|
[4] F. E. Browder: Existence of periodic solutions for nonlinear equation of evolution.Proc. Mat. Acad. Sci, 53 (1965) (1100-1103). MR 0177295, 10.1073/pnas.53.5.1100 |
| Reference:
|
[5] F. E. Browder: Periodic solutions of nonlinear equations of evolution in infinite dimensional spaces.Lect. Diff. Eq., 1, 71 - 96, Van Nostrand, N.Y., 1969. Zbl 0188.15602, MR 0273168 |
| Reference:
|
[6] L. Zend: Theorem on the existence of a periodic solution to a parabolic equation with a nonlinearity.(Russian) Vestnik Moskov. Univ., (1967), 32-35. |
| Reference:
|
[7] A. A. Dezin: Operators with the first derivative and nonlocal boundary conditions.Izv. AN USSR, Ser. mat. 31 (1967), 61-86. (Russian.) MR 0213762 |
| Reference:
|
[8] I. B. Simoněnko: Basing of the averaging principle to abstract parabolic equations.Mat. sbornik, Novaja serija, 81 (1970), 53 - 61. (Russian.) MR 0257594 |
| Reference:
|
[9] K. Masuda: On the existence of periodic solutions of nonlinear differential equations.J. Рас. Sci. Univ. Tokyo, 12 (1966), 247-257. Zbl 0142.38201, MR 0197942 |
| Reference:
|
[10] Ju. A. Dubinskij: Periodic solutions of elliptic-parabolic equations.(Russian.) Mat. sbornik, Novaja serija, 76 (1968), 620-633. MR 0233058 |
| Reference:
|
[11] O. Vejvoda: Periodic solutions of a linear and weakly nonlinear wave equation in one dimension.Czech. Math. J. 14 (1964), 341-382. MR 0174872 |
| Reference:
|
[12] О. Vejvoda: The mixed problem and periodic solutions for a linear and weakly nonlinear wave equation in one dimension.Rozpravy ČSAV, Řada mat. a přír. věd, 80 (1970), 3, Academia, Praha. Zbl 0278.35064, MR 0310437 |
| Reference:
|
[13] N. Krylová О. Vejvoda: Periodic solutions to partial differential equations, especially to a biharmonic wave equations.Symposia Matematica, 7, 85 - 96, Academic Press, New York-London, 1971. MR 0336018 |
| Reference:
|
[14] N. Krylová О. Vejvoda: A linear and weakly nonlinear equation of a beam: the boundary value problem for free extremities and its periodic solutions.Czech. Mat. J., 21 (1971), 535-566. MR 0289918 |
| Reference:
|
[15] O. Vejvoda: Periodic solutions of a weakly nonlinear wave equation in $E\sb{3}$ in a spherically symmetrical case.Apl. mat., 14 (1969), 160-167. Zbl 0175.39504, MR 0239247 |
| Reference:
|
[16] A. I. Plesner V. A. Rochlin: Spectral theory of linear operators. II.Uspechi mat. nauk, T. 1, Vyp. 1 (11) (1946), 71-91, (Russian). MR 0021245 |
| Reference:
|
[17] K. Yosida: Functional Analysis.New York 1971. Zbl 0217.16001, MR 0239384 |
| Reference:
|
[18] N. Bourbaki: Integrating, measures, integrating of measures.Moscow 1967, (Russian). |
| Reference:
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[19] S. G. Krein: Linear differential equations in a Banach space.Moscow 1968, (Russian). MR 0247239 |
| Reference:
|
[20] M. Sova: Abstract semilinear equations with small nonlinearities.CMUC, 12, 4 (1971), 785-805. Zbl 0235.47034, MR 0291912 |
| Reference:
|
[21] M. A. Krasnoselskii G. M. Vainikko P. P. Zabreiko, Ja. В. Rutickii V. Ja. Otecenko: Approximate solutions of operator equations.Moscow 1969, (Russian). |
| Reference:
|
[22] K. Moren: Hilbert space methods.Moscow 1965, (Russian). |
| Reference:
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[23] J. Nečas: Les méthodes directes en théorie des equations elliptique.Praha 1967. MR 0227584 |
| Reference:
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[24] S. Agmon: Lectures on elliptic boundary value problems.Van Nostrand, New Jersey 1965. Zbl 0142.37401, MR 0178246 |
| Reference:
|
[25] M. Marcus V. J. Mizel: Absolute Continuity on Tracks and Mappings of Sobolev Spaces.Arch. Rat. Mech. 45, No 4, (1972), 294-320. MR 0338765, 10.1007/BF00251378 |
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