| Title:
|
On the existence of conjugate points for linear differential systems (English) |
| Author:
|
Došlý, Ondřej |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
1990 |
| Pages:
|
87-99 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| idZBL:
|
Zbl 0744.34013 |
| idMR:
|
MR1094975 |
| . |
| Date available:
|
2009-09-25T10:22:50Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129471 |
| . |
| Reference:
|
[1] AHLBRANDT C. D., HINTON D. B., LEWIS R. T.: The effect of variable change on oscillation and disconjugacy criteria with application to spectral theory and asymptotic theory.J. Math. Anal. Appl. 81, 1981, 234-277. MR 0618771 |
| Reference:
|
[2] ATKINSON F. V., KAPER H. G., KWONG M. K.: An oscillation criterion for second order differential systems.Proc. Amer. Math. Soc. 96, 1985, 91-96. MR 0781063 |
| Reference:
|
[3] BELLMAN R.: Vvedenie v teoriu matric.Nauka, Moskva 1976. |
| Reference:
|
[4] BYRES R., HARRIS B. J., KWONG M. K.: Weighted means and oscillation conditions for second order matriх differential equations.J. Diff. Equations 61, 1986, 164-177. MR 0823400 |
| Reference:
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[5] BORŮVKA O.: Linear Differentialtransformationen 2.Ordnung. VEB Deutscher Verlag der Wissenschaften, Berlin 1967. MR 0236448 |
| Reference:
|
[6] DOŠLÝ O.: Riccati matrix differential equation and classification of disconjugate differential systems.Arch. Math. 23, 1987, 231-242. MR 0930783 |
| Reference:
|
[7] HARTMAN P. : Ordinary Differential Equations.John Wiley, New York, London, Sydney 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[8] HARTMAN P.: Oscillation criteria for self-adjoint second order differential systems and "principal sectional curvatures".J. Diff. Equations 34, 1979, 326-338. Zbl 0443.34029, MR 0550049 |
| Reference:
|
[9] HINTON D. B., LEWIS R. T.: Oscillation theory for generalized second order differential equations.Rocky Mountain J. Math. 10, 1980, 751-766. Zbl 0485.34021, MR 0595103 |
| Reference:
|
[10] KAPER H. G., KWONG M. K.: Oscillation of two-dimensional linear second-order differential systems.J. Diff. Equations 56, 1985, 195-205. Zbl 0571.34024, MR 0774162 |
| Reference:
|
[11] KAPER H. G., KWONG M. K.: Oscillation theory for linear second-order differential systems.Canadian Math. Soc. Conference Proceedings 8, 1987, 187-187. Zbl 0629.34040, MR 0909909 |
| Reference:
|
[12] MORSE M.: A generalization of the Sturm separation and comparison theorem in n-space.Math. Ann. 103, 1930, 52-69. MR 1512617 |
| Reference:
|
[13] MÜLLER-PFEIFFER E.: Existence of conjugate points for second and fourth order differential equations.Proc. Roy. Soc. Edinburgh 89A, 198 V 281-291. MR 0635764 |
| Reference:
|
[14] MÜLLER-PFEIFFER R.: An oscillation theorem for certain self-adjoint differential equations.Math. Nachr. 108, 1982. 79-92. MR 0695118 |
| Reference:
|
[15] NOUSSIAR E. S., SWANSON C. A.: Oscillation criteria for differential systems.J. Math. Anal. Appl. 36, 1971 575-580. MR 0296417 |
| Reference:
|
[16] REID W. T.: Ordinary Differential Equations.John Wiley, New York 1971. Zbl 0212.10901, MR 0273082 |
| Reference:
|
[17] SCHMINKE V. W.: The lower spectrum of Schrödinger operator.Arch. Rational Mech. Anal. 75, 1981, 147-155. MR 0605526 |
| Reference:
|
[18] SWANSON C. A.: Comparison and Oscillation Theory of Linear Differential Equations.Acad. Press, New York and London 1968. Zbl 0191.09904, MR 0463570 |
| Reference:
|
[19] TIPLER F. J.: General relativity and conjugate differential equations.J. Diff. Equations 30, 1978, 165-174. MR 0513268 |
| . |
