Disconjugacy of second-order linear differential equations with nonnegative coefficients

Author:
John H. Barrett

Journal:
Proc. Amer. Math. Soc. **10** (1959), 552-561

MSC:
Primary 34.00

DOI:
https://doi.org/10.1090/S0002-9939-1959-0108613-8

MathSciNet review:
0108613

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References | Similar Articles | Additional Information

**[1]**J. H. Barrett,*Behavior of solutions of second-order self-adjoint differential equations*, Proc. Amer. Math. Soc. vol. 6 (1955) pp. 247-251. MR**0070804 (17:37f)****[2]**E. A. Coddington and N. Levinson,*Theory of ordinary differential equations*, New York, 1955. MR**0069338 (16:1022b)****[3]**E. Hille,*Nonoscillation theorems*, Trans. Amer. Math. Soc. vol. 64 (1948) pp. 234-252. MR**0027925 (10:376c)****[4]**W. Leighton,*On self-adjoint differential equations of second-order*, J. London Math. Soc. vol. 27 (1952) pp. 37-47. MR**0046506 (13:745b)****[5]**Z. Nehari,*Oscillation criteria for second-order linear differential equations*, Trans. Amer. Math. Soc. vol. 85 (1957) pp. 428-445. MR**0087816 (19:415a)****[6]**W. T. Reid,*A comparison theorem for self-adjoint differential equations of second order*, Ann. of Math. vol. 65 (1957) pp. 197-202. MR**0092045 (19:1052b)****[7]**-,*Oscillation criteria for linear differential equations with complex coefficients*, Pacific J. Math. vol. 6 (1956) pp. 733-751. MR**0084655 (18:898a)****[8]**A. Wintner,*A criterion of oscillatory stability*, Quart. Appl. Math. vol. 7 (1949) pp. 115-117. MR**0028499 (10:456a)**

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DOI:
https://doi.org/10.1090/S0002-9939-1959-0108613-8

Article copyright:
© Copyright 1959
American Mathematical Society