@article{AIHPA_1976__24_1_91_0, author = {Simon, Barry}, title = {On the genericity of nonvanishing instability intervals in {Hills} equation}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {91--93}, publisher = {Gauthier-Villars}, volume = {24}, number = {1}, year = {1976}, mrnumber = {473321}, zbl = {0346.34015}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1976__24_1_91_0/} }
TY - JOUR AU - Simon, Barry TI - On the genericity of nonvanishing instability intervals in Hills equation JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1976 SP - 91 EP - 93 VL - 24 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1976__24_1_91_0/ LA - en ID - AIHPA_1976__24_1_91_0 ER -
%0 Journal Article %A Simon, Barry %T On the genericity of nonvanishing instability intervals in Hills equation %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1976 %P 91-93 %V 24 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1976__24_1_91_0/ %G en %F AIHPA_1976__24_1_91_0
Simon, Barry. On the genericity of nonvanishing instability intervals in Hills equation. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 24 (1976) no. 1, pp. 91-93. http://archive.numdam.org/item/AIHPA_1976__24_1_91_0/
[1] Eine umkehrung der Sturm-Liouvillschen eigenwertaufgabe. Bestimmung der differentialgleichung durch die eigenwert. Acta Math., t. 78, 1946, p. 1-96. | MR | Zbl
,[2] I. Benjamin, New York, 1969. | Zbl
, Lectures in Analysis, Vol.[3] The Spectral Theory of Periodic Differential Equations. Scottish Academic Press, 1973. | Zbl
,[4] On the determination of a Hills equation from its spectrum. Bull. A. M. S., t. 80, 1974, p. 1111-1112. | MR | Zbl
,[5] On the determination of a Hill's equation from its spectrum, I. Arch. Rat. Mach. Ancl., t. 19, 1965, p. 353-362. | MR | Zbl
,[6] On the determination of a Hills equation from its spectrum, II. Arch. Rat. Mach. Ancl., t. 23, 1966, p. 237-238. | MR | Zbl
,[7] A proof of the impossibility of the coexistence of two Mathieu functions. Proc. Comb. Phil., Vol. 21, 1922, p. 117-120. | JFM
,[8] Perturbation theory of linear operators. Springer, 1966. | Zbl
,[9] Hill's Equation. Interscience, 1966. | Zbl
and ,[10] Methods of Modern Mathematical Physics, III. Analysis of Operators. Academic Press, expected 1976. | Zbl
and ,[11] Storungs theory der Spektalzerlegung, I-V. Math. Ann., t. 113, 1937, p. 600-619 ; t. 113, 1937, p. 677-685 ; t. 116, 1939, p. 555-560 ; t. 117, 1940, p. 356- 382 ; t. 118, 1942, p. 462-484.
,