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On the existence of conjugate points for linear differential systems
Mathematica slovaca, Tome 40 (1990) no. 1, pp. 87-99
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Classification : 34A30 
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Došlý, Ondřej. On the existence of conjugate points for linear differential systems. Mathematica slovaca, Tome 40 (1990) no. 1, pp. 87-99. http://geodesic.mathdoc.fr/item/MASLO_1990_40_1_a9/

[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

[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

[3] BELLMAN R.: Vvedenie v teoriu matric. Nauka, Moskva 1976.

[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

[5] BORŮVKA O.: Linear Differentialtransformationen 2. Ordnung. VEB Deutscher Verlag der Wissenschaften, Berlin 1967. | MR

[6] DOŠLÝ O.: Riccati matrix differential equation and classification of disconjugate differential systems. Arch. Math. 23, 1987, 231-242. | MR

[7] HARTMAN P. : Ordinary Differential Equations. John Wiley, New York, London, Sydney 1964. | MR | Zbl

[8] HARTMAN P.: Oscillation criteria for self-adjoint second order differential systems and "principal sectional curvatures". J. Diff. Equations 34, 1979, 326-338. | MR | Zbl

[9] HINTON D. B., LEWIS R. T.: Oscillation theory for generalized second order differential equations. Rocky Mountain J. Math. 10, 1980, 751-766. | MR | Zbl

[10] KAPER H. G., KWONG M. K.: Oscillation of two-dimensional linear second-order differential systems. J. Diff. Equations 56, 1985, 195-205. | MR | Zbl

[11] KAPER H. G., KWONG M. K.: Oscillation theory for linear second-order differential systems. Canadian Math. Soc. Conference Proceedings 8, 1987, 187-187. | MR | Zbl

[12] MORSE M.: A generalization of the Sturm separation and comparison theorem in n-space. Math. Ann. 103, 1930, 52-69. | MR

[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

[14] MÜLLER-PFEIFFER R.: An oscillation theorem for certain self-adjoint differential equations. Math. Nachr. 108, 1982. 79-92. | MR

[15] NOUSSIAR E. S., SWANSON C. A.: Oscillation criteria for differential systems. J. Math. Anal. Appl. 36, 1971 575-580. | MR

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

[17] SCHMINKE V. W.: The lower spectrum of Schrödinger operator. Arch. Rational Mech. Anal. 75, 1981, 147-155. | MR

[18] SWANSON C. A.: Comparison and Oscillation Theory of Linear Differential Equations. Acad. Press, New York and London 1968. | MR | Zbl

[19] TIPLER F. J.: General relativity and conjugate differential equations. J. Diff. Equations 30, 1978, 165-174. | MR