MR1975054
Masaru YAMAGUCHI
Masaru YAMAGUCHI
Periodic Solutions of Nonlinear Equations of String with Periodically Oscillating Boundaries
Funkcialaj Ekvacioj. Serio Internacia
45
2002
397--416
http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol45/fe45-3-5.pdf
http://www.ams.org/mathscinet-getitem?mr=MR1975054
45-397
2002
Periodic Solutions of Nonlinear Equations of String with Periodically Oscillating Boundaries
Masaru YAMAGUCHI
Masaru YAMAGUCHI
1
Brezis, H.; Coron, J. M.; Nirenberg, L.
Free vibrations of a nonlinear wave equation and a theorem of P. Rabinowitz
Comm. Pure Appl. Math.
33
1980
667-684
MR0586417
2
Ben-Naoum, K.; Mawhin, J.
The periodic Dirichlet problem for some semilinear wave equations
J. Differential Equations
96
1992
340-354
MR1156665
3
Herman, M. R.
Sur la conjugaison differentiable des diffeomorphismes du cercle A des rotations
Publ. I.H.E.S.
49
1979
5-233
MR0538680
4
Khinchin, A. Ya.
Continued Fractions
The University of Chicago Press
1964
MR0161833
5
Mckenna, P. J.
On solutions of a nonlinear wave equation when the ratio of the period to the length of the interval is irrational
Proc. of AMS
93
1985
59-64
MR0766527
6
Rabinowitz, P. H.
Periodic solutions of nonlinear hyperbolic partial diffrential equations
Comm. Pure Appl. Math.
20
1967
145-205
MR0206507
7
Rabinowitz, P. H.
Free vibrations for a semilinear wave equations
Comm. Pure Appl. Math.
31
1978
31-68
MR0470378
8
Wayne, C. E.
Periodic and quasiperiodic solutions of nonlinear wave equations via KAM theory
Comm. Math. Phys.
127
1990
479-528
MR1040892
9
Yamaguchi, M.
Quasiperiodic motions of vibrating string with periodically moving boundaries
J. Differential Equations
135
1997
1-15
MR1434912
10
Yamaguchi, M.
Periodic motions of vibrating string with a periodically moving boundary
Discrete and Continuous Dynamical systems, Proceedings of International Conference on Dynamical Systems and Differetial Equations, South Missouri State University
2
1998
303-314
MR1722479
11
Yamaguchi, M.
Quasiperiodic behavior of vibrating string with the Lissajous boundary condition
Functional Analysis and Global Analysis, Proceedings of International Conference on Functional Analysis and Global Analysis Springer
1997
278-287
MR1658069
12
Yamaguchi, M., Vibrating string problem with quasiperiodically moving boundaries, preprint
13
Yamaguchi, M.
Existence of periodic solutions of second order nonlinear evolution equations and applications
Funkcialaj Ekvacioj
38
1995
519-538
MR1374435
1374435
14
Yamaguchi, M.
3D wave equations in sphere-symmetric domain with periodically oscillating boundaries
Discrete and Continuous Dynamical Systems
7
2001
385-396
MR1808409
15
Yamaguchi, M.
Existence and stability of global bounded classical solutions of initial boundary value problem for semilinear wave equations
Funkcialaj Ekvacioj
23
1980
289-308
MR0621535
0621535
16
Yamaguchi, M.
Nonexistence of bounded solutions of one dimensional wave equations with quasiperiodic forcing terms
J. Differential Equations
127
1996
484-497
MR1389406
17
Yamaguchi, M.; Yoshida, H.
Nonhomogeneous string problem with periodically moving boundaries
Fields Institute Communications
25
2000
565-574
MR1759569
18
Yoccoz, J.-C.
Conjugaison differentiable des diffeomorphismes du cercle dont le nomble de rotation verifie une condition Diophantienne
Ann. Sci. Ecole Normale Sup.
17
1984
333-359
MR0777374