| Title:
|
On some problems in the oscillation theory of self-adjoint linear differential equations (English) |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
101-111 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0753.34018 |
| idMR:
|
MR1094989 |
| . |
| Date available:
|
2009-09-25T10:29:49Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128658 |
| . |
| Reference:
|
[1] ATKINSON F. V.: Discrete and Continuous Boundary Value Problems.Acad. Press, New York 1964. MR 0176141 |
| Reference:
|
[2] BARRETT J. H.: A Prüfer transformation for matrix differential equations.Proc. Amer. Math. Soc., 8, 1957, 510-518. Zbl 0079.10603, MR 0087821 |
| Reference:
|
[3] BORŮVKA O.: Lineare Differentialtransformationen 2.Ornung, VEB Deutscher Verlag der Wissenschaften, Berlin 1967. MR 0236448 |
| Reference:
|
[4] COPPEL W. A.: Disconjugacy.Lecture Notes in Math. 220, Springer Verlag, Berlin-New York-Heidelberg 1971. Zbl 0224.34003, MR 0460785 |
| Reference:
|
[5] DOŠLÝ O.: On transformation of self-adjoint linear differential systems and their reciprocals.Ann. Pol. Math., 50, 1990, 223-234. |
| Reference:
|
[6] DOŠLÝ O.: Riccati matrix differential equation and classification of disconjugate differential systems.Arch. Math., 23, 1987, 231-241. MR 0930783 |
| Reference:
|
[7] DOŠLÝ O.: Existence of conjugate points for self-adjoint linear differential equations.Proc. Roy. Soc. Edinburgh, 113A, 1989, 73-85. MR 1025455 |
| Reference:
|
[8] JAKUBOVIČ V. A.: Oscillatornyje svojstva rešenij kanoničeskich uravnenij.(Russian.) Mat. Sb. (N. S.), 56, 1962, 3-2. MR 0138863 |
| Reference:
|
[9] KRATZ W.: Asymptotic behaviour of Riccati differential equation associated with self-adjoint scalar equations of even order.Czech. Math. J., 38, 1988, 351-364. MR 0946304 |
| Reference:
|
[10] NEUMAN F.: Limit circle classification and boundedness of solutions.Proc. Roy. Soc. Edinburgh 81A, 1978, 31-34. Zbl 0411.34040, MR 0529374 |
| Reference:
|
[11] NEUMAN F.: L2 - solutions of y"=q(t)y and functional equation.Aequationes Math., 6, 1971, 162-169. MR 0291562 |
| Reference:
|
[12] REID W. T.: Ordinary Differential Equations.Joh Wiley, New York 1971. Zbl 0212.10901, MR 0273082 |
| Reference:
|
[13] SWANSON C. A.: Oscillation and Comparison Theory for Linear Differential Equations.Acad. Press, Ney York 1968. MR 0463570 |
| Reference:
|
[14] TOMASTIK E. C.: Singular quadratic functional of n dependent variables.Trans. Amer. Math. Soc., 124, 1966, 6076. MR 0196556 |
| . |
