A criterion for oscillations in differential equations of order

Author:
Don B. Hinton

Journal:
Proc. Amer. Math. Soc. **19** (1968), 511-518

MSC:
Primary 34.42

DOI:
https://doi.org/10.1090/S0002-9939-1968-0226111-3

MathSciNet review:
0226111

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**D. Hinton,*Clamped end boundary conditions for fourth-order self-adjoint differential equations*, Duke Math. J.**34**(1967), 131-138. MR**0208054 (34:7864)****[2]**W. Leighton,*On the detection of the oscillation of solutions of a second order linear differential equation*, Duke Math. J.**17**(1950), 57-62. MR**0032065 (11:248c)****[3]**-,*On self-adjoint differential equations of second order*, J. London Math. Soc.**27**(1952), 37-47. MR**0046506 (13:745b)****[4]**G. Pólya,*On the mean-value theorem corresponding to a given linear homogeneous differential equation*, Trans. Amer. Math. Soc.**24**(1922), 312-324. MR**1501228****[5]**W. T. Reid,*Riccati matrix differential equations*, Pacific J. Math.**13**(1963), 665-685. MR**0155049 (27:4991)****[6]**A. Wintner,*A criterion of oscillatory stability*, Quart. Appl. Math.**7**(1949), 115-117. MR**0028499 (10:456a)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
34.42

Retrieve articles in all journals with MSC: 34.42

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1968-0226111-3

Article copyright:
© Copyright 1968
American Mathematical Society