The multiplicity criteria for zero points of second order differential equations
Mathematica slovaca, Tome 42 (1992) no. 2, pp. 181-193
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Došlý, Ondřej. The multiplicity criteria for zero points of second order differential equations. Mathematica slovaca, Tome 42 (1992) no. 2, pp. 181-193. http://geodesic.mathdoc.fr/item/MASLO_1992_42_2_a5/

[1] BORŮVKA O.: Lineare Differentialtransformationen 2. Ordnung, VEB, Deutscher Verlag der Wissenschaften, Berlin, 1971.

[2] COURANT R., HILBERT D.: Methods of Mathematical Physics. Vol. I, Interscience, New York, 1953. | MR | Zbl

[3] DOŠLÝ O.: Riccati matrix differential equation and classification of disconjugate differential systems. Arch. Math. (Brno) 23 (1988), 231-242. | MR

[4] DOŠLÝ O.: On traits formation of self-adjoint differential systems and their reciprocals. Ann. Polon. Math. 50 (1990), 223-234. | MR

[5] DOŠLÝ O.: On some problems in oscillation theory of self-adjoint linear differential equations. Math. Slovaca 41 (1991), 101-111. | MR

[6] DOŠLÝ O.: Conjugacy criteria for second order differential equations. Rocky Mountain J. Math., (To appear). | MR | Zbl

[7] HAWKING S. W., PENROSE R.: The singularities of gravity collapse and cosmology. Proc. Roy. Soc. London Ser. A 314 ; 1970, 543-548. | MR

[8] MACHÁT J.: Phase matrix of self-adjoint linear differential equations. (Czech.), Thesis, Brno, 1989.

[9] MÜLLER-PFEIFFER E.: Existence of conjugate points for second and fourth order differential equations. Proc. Roy. Soc. Edinburgh Sect. A 89 (1981), 281-291. | MR | Zbl

[10] MÜLLER-PFEIFFER E.: On the existence of nodal domains for elliptic differential operators. Proc. Roy. Soc. Edinburgh Sect. A 94 (1983), 287-299. | MR | Zbl

[11] MÜLLER-PFEIFFER E.: Nodal domains of one- or two-dimensional elliptic differential equations. Z. Anal. Anwendungen 7 (1988), 135-139. | MR

[12] TIPLER F. J.: General relativity and conjugate ordinary differential equations. J. Differential Equations 30 (1978), 165-174. | MR | Zbl

[13] WEIDMAN J.: Linear Operators in Hilbert Spaces. Springer-Verlag, New York-Berlin, 1982.