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Oscillation theory at a finite singularity. (English) Zbl 0362.34025


MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
Full Text: DOI

References:

[1] Glazman, I. M.: Direct methods of qualitative spectral analysis of singular differential operators. (1965) · Zbl 0143.36505
[2] Hille, E.: Nonoscillation theorems. Trans. amer. Math. soc. 64, 234-252 (1948) · Zbl 0031.35402
[3] Hinton, D. B.: A criterion for n-n oscillations in differential equations or order 2n. Proc. amer. Math. soc. 19, 511-518 (1968) · Zbl 0157.15001
[4] Leighton, W.: On self-adjoint differential equations of second order. J. London math. Soc. 27, 37-47 (1952) · Zbl 0048.06503
[5] Lewis, R. T.: The existence of conjugate points for self-adjoint differential equations of even order. Proc. amer. Math. soc. 56, 162-166 (1976) · Zbl 0294.34004
[6] Lewis, R. T.: Conjugate points of vector-matrix differential equations. Trans. amer. Math. soc. 231, 167-178 (1977) · Zbl 0366.34022
[7] Polya, G.: On the mean-value theorem corresponding to a given linear homogeneous differential equation. Trans. amer. Math. soc. 24, 312-324 (1922)
[8] Reid, W. T.: Riccati matrix differential equations and nonoscillation criteria for associated systems. Pacific J. Math. 13, 665-685 (1963) · Zbl 0119.07401
[9] Wintner, A.: A criterion of oscillatory stability. Quart. appl. Math. 7, 115-117 (1949) · Zbl 0032.34801
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