| Title:
|
Transformations of linear Hamiltonian systems preserving oscillatory behaviour (English) |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
27 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
211-219 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0764.34026 |
| idMR:
|
MR1189218 |
| . |
| Date available:
|
2008-06-06T06:23:43Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107424 |
| . |
| Reference:
|
[1] Ahlbrandt C.D.: Equivalent boundary value problems for self-adjoint differential systems.J. Diff Equations, vol 9, 1971, 420-435. Zbl 0218.34020, MR 0284636 |
| Reference:
|
[2] Atkinson F.V: Discrete and Continuous Boundary Value Problems.1964, Acad. Press., New York. MR 0176141 |
| Reference:
|
[3] Barrett J.H: Oscillation theory of ordinary differential equations.Adv. in Math., vol З, 1969, 415-509. MR 0257462 |
| Reference:
|
[4] Coppel W.A.: Disconjugacy.Lecture Notes in Math., 1971, Berlin - New York - Heidelbeгg. Zbl 0224.34003, MR 0460785 |
| Reference:
|
[5] Došlá Z., Zezra P.: Singular quadratic functionals with free endpoints.in preparation. |
| Reference:
|
[6] Došlý O.: On transformation of self-adjoint differential systems and their reciprocals.Annal. Pol. Math. 50, 1990, 223-234. |
| Reference:
|
[7] Došlý O.: On some properties of trigonometric matrices.Čas. pěst. mat., vol 112, 1987. Zbl 0642.34024, MR 0897644 |
| Reference:
|
[8] Hartman P.: Self-adjoint, non-oscillatory systems of ordinary, second order linear differential equations.Duke J. Math., vol 24, 1956, 25-35. MR 0082591 |
| Reference:
|
[9] Jakubovič V.A.: Oscillatory properties of solutions of canonical equations.Mat. Sb. (N. S.), vol 56, 1962, 3-42. (Russian) MR 0138863 |
| Reference:
|
[10] Rasmussen C.H.: Oscillation and asymptotic behaviour of systems of ordinary linear differential equations.T. A. M. S., vol 256, 1979, 1-48. |
| Reference:
|
[11] Reid W.T.: Sturmian Theory for Ordinary Differential Equations.Springer-Verlag, New York - Berlin - Heidelberg, 1980. Zbl 0459.34001, MR 0606199 |
| Reference:
|
[12] Staněk S., Vosmanský J.: Transformation of linear second order ordinary differential equations.Arch. Math., vol 22, 1986, 55-60. MR 0868119 |
| . |
