Systems-disconjugacy of a fourth-order differential equations

Author:
John H. Barrett

Journal:
Proc. Amer. Math. Soc. **12** (1961), 205-213

MSC:
Primary 34.42

DOI:
https://doi.org/10.1090/S0002-9939-1961-0130443-0

MathSciNet review:
0130443

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References | Similar Articles | Additional Information

**[1]**J. H. Barrett,*Disconjugacy of second-order linear differential equations with non-negative coefficients*, Proc. Amer. Math. Soc. vol. 10 (1959) pp. 552-561. MR**0108613 (21:7329)****[2]**-,*Disconjugacy of a self-adjoint differential equation of the fourth order*, Chapter 1, OOR Technical Report, Utah (1959), pp. 1-24; Pacific J. Math. (to appear). MR**0125291 (23:A2594)****[3]**P. Hartman and A. Wintner,*On disconjugate differential systems*, Canad. J. Math. vol. 8 (1956) pp. 72-81. MR**0074595 (17:611h)****[4]**E. Hille,*Nonoscillation theorems*, Trans. Amer. Math. Soc. vol. 64 (1948) pp. 234-252. MR**0027925 (10:376c)****[5]**W. Leighton and Z. Nehari,*On the oscillation of solutions of self-adjoint linear differential equations of the fourth order*, Trans. Amer. Math. Soc. vol. 89 (1958) pp. 325-377. (Contains an extensive bibliography.) MR**0102639 (21:1429)****[6]**Z. Nehari,*Oscillation criteria for second-order linear differential equations*, Trans. Amer. Math. Soc. vol. 85 (1958) pp. 428-445. MR**0087816 (19:415a)****[7]**H. M. Sternberg and R. L. Sternberg,*A two-point boundary problem for ordinary selfadjoint differential equations of fourth order*, Canad. J. Math. vol. 6 (1954) pp. 416-419. MR**0061738 (15:874c)****[8]**W. M. Whyburn,*On self-adjoint ordinary differential equations of the fourth order*, Amer. J. Math. vol. 52 (1930) pp. 171-196. MR**1506751**

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DOI:
https://doi.org/10.1090/S0002-9939-1961-0130443-0

Article copyright:
© Copyright 1961
American Mathematical Society