Geodesic
On some problems in the oscillation theory of self-adjoint linear differential equations
Mathematica slovaca, Tome 41 (1991) no. 1, pp. 101-111
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34A30, 34C10 
@article{MASLO_1991_41_1_a12,
     author = {Do\v{s}l\'y, Ond\v{r}ej},
     title = {On some problems in the oscillation theory of self-adjoint linear differential equations},
     journal = {Mathematica slovaca},
     pages = {101--111},
     year = {1991},
     volume = {41},
     number = {1},
     mrnumber = {1094989},
     zbl = {0753.34018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1991_41_1_a12/}
}
TY  - JOUR
AU  - Došlý, Ondřej
TI  - On some problems in the oscillation theory of self-adjoint linear differential equations
JO  - Mathematica slovaca
PY  - 1991
SP  - 101
EP  - 111
VL  - 41
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_1991_41_1_a12/
LA  - en
ID  - MASLO_1991_41_1_a12
ER  - 
%0 Journal Article
%A Došlý, Ondřej
%T On some problems in the oscillation theory of self-adjoint linear differential equations
%J Mathematica slovaca
%D 1991
%P 101-111
%V 41
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_1991_41_1_a12/
%G en
%F MASLO_1991_41_1_a12
Došlý, Ondřej. On some problems in the oscillation theory of self-adjoint linear differential equations. Mathematica slovaca, Tome 41 (1991) no. 1, pp. 101-111. http://geodesic.mathdoc.fr/item/MASLO_1991_41_1_a12/

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

[2] BARRETT J. H.: A Prüfer transformation for matrix differential equations. Proc. Amer. Math. Soc., 8, 1957, 510-518. | MR | Zbl

[3] BORŮVKA O.: Lineare Differentialtransformationen 2. Ornung, VEB Deutscher Verlag der Wissenschaften, Berlin 1967. | MR

[4] COPPEL W. A.: Disconjugacy. Lecture Notes in Math. 220, Springer Verlag, Berlin-New York-Heidelberg 1971. | MR | Zbl

[5] DOŠLÝ O.: On transformation of self-adjoint linear differential systems and their reciprocals. Ann. Pol. Math., 50, 1990, 223-234.

[6] DOŠLÝ O.: Riccati matrix differential equation and classification of disconjugate differential systems. Arch. Math., 23, 1987, 231-241. | MR

[7] DOŠLÝ O.: Existence of conjugate points for self-adjoint linear differential equations. Proc. Roy. Soc. Edinburgh, 113A, 1989, 73-85. | MR

[8] JAKUBOVIČ V. A.: Oscillatornyje svojstva rešenij kanoničeskich uravnenij. (Russian.) Mat. Sb. (N. S.), 56, 1962, 3-2. | MR

[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

[10] NEUMAN F.: Limit circle classification and boundedness of solutions. Proc. Roy. Soc. Edinburgh 81A, 1978, 31-34. | MR | Zbl

[11] NEUMAN F.: L2 - solutions of y"=q(t)y and functional equation. Aequationes Math., 6, 1971, 162-169. | MR

[12] REID W. T.: Ordinary Differential Equations. Joh Wiley, New York 1971. | MR | Zbl

[13] SWANSON C. A.: Oscillation and Comparison Theory for Linear Differential Equations. Acad. Press, Ney York 1968. | MR

[14] TOMASTIK E. C.: Singular quadratic functional of n dependent variables. Trans. Amer. Math. Soc., 124, 1966, 6076. | MR