no. 4
Unstable simple modes for a class of Kirchhoff equations
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 10 (2001) no. 4, pp. 639-658. 
@article{AFST_2001_6_10_4_639_0,
     author = {Ghisi, Marina and Gobbino, Massimo},
     title = {Unstable simple modes for a class of {Kirchhoff} equations},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {639--658},
     publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
     address = {Toulouse},
     volume = {Ser. 6, 10},
     number = {4},
     year = {2001},
     mrnumber = {1944254},
     zbl = {1020.35060},
     language = {en},
     url = {http://www.numdam.org/item/AFST_2001_6_10_4_639_0/}
}
TY  - JOUR
AU  - Ghisi, Marina
AU  - Gobbino, Massimo
TI  - Unstable simple modes for a class of Kirchhoff equations
JO  - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY  - 2001
SP  - 639
EP  - 658
VL  - 10
IS  - 4
PB  - Université Paul Sabatier. Faculté des sciences
PP  - Toulouse
UR  - http://www.numdam.org/item/AFST_2001_6_10_4_639_0/
LA  - en
ID  - AFST_2001_6_10_4_639_0
ER  - 
%0 Journal Article
%A Ghisi, Marina
%A Gobbino, Massimo
%T Unstable simple modes for a class of Kirchhoff equations
%J Annales de la Faculté des sciences de Toulouse : Mathématiques
%D 2001
%P 639-658
%V 10
%N 4
%I Université Paul Sabatier. Faculté des sciences
%C Toulouse
%U http://www.numdam.org/item/AFST_2001_6_10_4_639_0/
%G en
%F AFST_2001_6_10_4_639_0
Ghisi, Marina; Gobbino, Massimo. Unstable simple modes for a class of Kirchhoff equations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 10 (2001) no. 4, pp. 639-658. http://www.numdam.org/item/AFST_2001_6_10_4_639_0/

[1] Arosio (A.). - Averaged evolution equations. The Kirchhoff string and its treatment in scales of Banach spaces, proceedings of the "2nd workshop on functional-analytic methods in complex analysis" (Trieste, 1993), World Scientific, Singapore. | MR

[2] Cazenave (T.), Weissler (F.B.). - Unstable simple modes of the nonlinear string, Quart. Appl. Math. 38 (1980), 253-259. | MR

[3] Dickey (R.W.). - Stability of periodic solutions of the nonlinear string, Quart. Appl. Math. 54 (1996), 287-305. | MR

[4] Ghisi (M.), Gobbino (M.). - Stability of simple modes of the Kirchhoff equation, Nonlinearity 14 (2001), 1197-1220. | MR | Zbl

[5] Hale (J.), Koçak (H.). - Dynamics and Bifurcations, Springer, 1991. | MR | Zbl

[6] Kirchhoff (G.). - Vorlesungen über mathematische Physik: Mechanik, section 29.7, Teubner, Leipzig, 1876. | JFM

[7] Spagnolo (S.). - The Cauchy problem for the Kirchhoff equation, Rend. Sem. Fis. Matem. Milano, 62 (1992), 17-51. | MR | Zbl