Oscillation properties of even-order linear differential equations

Author:
Robert W. Hunt

Journal:
Trans. Amer. Math. Soc. **115** (1965), 54-61

MSC:
Primary 34.30

DOI:
https://doi.org/10.1090/S0002-9947-1965-0203132-X

MathSciNet review:
0203132

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References | Similar Articles | Additional Information

**[1]**J. H. Barrett,*Disconjugacy of a self-adjoint differential equation of the fourth order*, Pacific J. Math.**11**(1961), 25-37. MR**0125291 (23:A2594)****[2]**-,*Systems-disconjugacy of a fourth-order differential equation*, Proc. Amer. Math. Soc.**12**(1961), 205-213. MR**0130443 (24:A304)****[3]**-,*Two-point boundary value problems and comparison theorems for fourth-order self-adjoint differential equations and second-order matrix differential systems*, Canad. J. Math.**13**(1961), 625-638.**[4]**E. A. Coddington and N. Levinson,*Theory of ordinary differential equations*, McGraw-Hill, New York, 1955. MR**0069338 (16:1022b)****[5]**R. W. Hunt,*The behavior of solutions of ordinary, self-adjoint differential equations of arbitrary even order*, Pacific J. Math.**12**(1962), 945-961. MR**0147725 (26:5239)****[6]**H. Kaufman and R. L. Sternberg,*A two-point boundary problem for ordinary self-adjoint differential equations of even order*, Duke Math. J.**20**(1953), 527-531. MR**0059443 (15:530c)****[7]**Walter Leighton and Z. Nehari,*On the oscillation of solutions of self-adjoint linear differential equations of the fourth order*, Trans. Amer. Math. Soc.**89**(1958), 325-377. MR**0102639 (21:1429)****[8]**W. T. Reid,*Oscillation criteria for self-adjoint differential systems*, Trans. Amer. Math. Soc.**101**(1961), 91-106. MR**0133518 (24:A3349)****[9]**H. M. Sternberg and R. L. Sternberg,*A two-point boundary problem for ordinary self-adjoint differential equations of fourth order*, Canad. J. Math.**6**(1954), 416-419. MR**0061738 (15:874c)**

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DOI:
https://doi.org/10.1090/S0002-9947-1965-0203132-X

Article copyright:
© Copyright 1965
American Mathematical Society