Geodesic
Transformations of linear Hamiltonian systems preserving oscillatory behaviour
Archivum mathematicum, Tome 27 (1991) no. 3-4, pp. 211-219 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34C10 
@article{ARM_1991_27_3-4_a10,
     author = {Do\v{s}l\'y, Ond\v{r}ej},
     title = {Transformations of linear {Hamiltonian} systems preserving oscillatory behaviour},
     journal = {Archivum mathematicum},
     pages = {211--219},
     year = {1991},
     volume = {27},
     number = {3-4},
     mrnumber = {1189218},
     zbl = {0764.34026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1991_27_3-4_a10/}
}
TY  - JOUR
AU  - Došlý, Ondřej
TI  - Transformations of linear Hamiltonian systems preserving oscillatory behaviour
JO  - Archivum mathematicum
PY  - 1991
SP  - 211
EP  - 219
VL  - 27
IS  - 3-4
UR  - http://geodesic.mathdoc.fr/item/ARM_1991_27_3-4_a10/
LA  - en
ID  - ARM_1991_27_3-4_a10
ER  - 
%0 Journal Article
%A Došlý, Ondřej
%T Transformations of linear Hamiltonian systems preserving oscillatory behaviour
%J Archivum mathematicum
%D 1991
%P 211-219
%V 27
%N 3-4
%U http://geodesic.mathdoc.fr/item/ARM_1991_27_3-4_a10/
%G en
%F ARM_1991_27_3-4_a10
Došlý, Ondřej. Transformations of linear Hamiltonian systems preserving oscillatory behaviour. Archivum mathematicum, Tome 27 (1991) no. 3-4, pp. 211-219. http://geodesic.mathdoc.fr/item/ARM_1991_27_3-4_a10/

[1] Ahlbrandt C.D.: Equivalent boundary value problems for self-adjoint differential systems. J. Diff Equations, vol 9, 1971, 420-435. | MR | Zbl

[2] Atkinson F.V: Discrete and Continuous Boundary Value Problems. 1964, Acad. Press., New York. | MR

[3] Barrett J.H: Oscillation theory of ordinary differential equations. Adv. in Math., vol З, 1969, 415-509. | MR

[4] Coppel W.A.: Disconjugacy. Lecture Notes in Math., 1971, Berlin - New York - Heidelbeгg. | MR | Zbl

[5] Došlá Z., Zezra P.: Singular quadratic functionals with free endpoints. in preparation.

[6] Došlý O.: On transformation of self-adjoint differential systems and their reciprocals. Annal. Pol. Math. 50, 1990, 223-234.

[7] Došlý O.: On some properties of trigonometric matrices. Čas. pěst. mat., vol 112, 1987. | MR | Zbl

[8] Hartman P.: Self-adjoint, non-oscillatory systems of ordinary, second order linear differential equations. Duke J. Math., vol 24, 1956, 25-35. | MR

[9] Jakubovič V.A.: Oscillatory properties of solutions of canonical equations. Mat. Sb. (N. S.), vol 56, 1962, 3-42. (Russian) | MR

[10] Rasmussen C.H.: Oscillation and asymptotic behaviour of systems of ordinary linear differential equations. T. A. M. S., vol 256, 1979, 1-48.

[11] Reid W.T.: Sturmian Theory for Ordinary Differential Equations. Springer-Verlag, New York - Berlin - Heidelberg, 1980. | MR | Zbl

[12] Staněk S., Vosmanský J.: Transformation of linear second order ordinary differential equations. Arch. Math., vol 22, 1986, 55-60. | MR