## Pacific Journal of Mathematics

- Pacific J. Math.
- Volume 11, Number 1 (1961), 25-37.

### Disconjugacy of a self-adjoint differential equation of the fourth order.

**Full-text: Open access**

#### Article information

**Source**

Pacific J. Math., Volume 11, Number 1 (1961), 25-37.

**Dates**

First available in Project Euclid: 14 December 2004

**Permanent link to this document**

https://projecteuclid.org/euclid.pjm/1103037532

**Mathematical Reviews number (MathSciNet)**

MR0125291

**Zentralblatt MATH identifier**

0105.06701

**Subjects**

Primary: 34.42

#### Citation

Barrett, John H. Disconjugacy of a self-adjoint differential equation of the fourth order. Pacific J. Math. 11 (1961), no. 1, 25--37. https://projecteuclid.org/euclid.pjm/1103037532

#### References

- [1] J. H. Barrett, Behavior of solutions of second-order self-adjoint differentialequations, Proc. AMS 8 (1955), 510-518.
- [2] J. H. Barrett, Disconjugacy of second-order linear differential equations with non-negative coefficients, Proc. AMS 10 (1959),552-561.Mathematical Reviews (MathSciNet): MR21:7329
- [3] P. R. Beesack, Integral inequalities of the Wirtinger-type,Duke Math. J. 25 (1958), 477-498.
- [4] W. J. Coles, Linear and Riccati Systems, Duke Math. J. 22 (1955), 333-338.
- [5] W. J. Coles, A general Wirtinger-type inequality, Duke. Math. J. 27 (1960), 133-138.
- [6] E. Hille, Non-oscillation Theorems, Trans. AMS 64 (1948), 234-252.
- [7] W. Leighton, On self-adjoint differential equations of second-order, J. London Math. Soc. 27 (1952), 37-47.
- [8] W. Leighton, Bounds for the solutions of a second order linear differential equation, Proc. Nat. Acad. Sci. 35 (1949), 190-191.Mathematical Reviews (MathSciNet): MR10:708g
- [9] W. Leighton, Principal quadratic functional,Trans. AMS 67 (1949), 253-274.
- [10] W. Leighton and Z. Nehari, On the oscillation of solutions of self-adjoint linear differ- ential equations of the fourth order Trans. AMS. 89 (1958), 325-377.
- [11] M. Morse, Calculus of Variations in the Large, New York, 1934.Zentralblatt MATH: 58.0537.01
- [12] Z. Nehari, Oscillation criteria for second-order linear differentialequations, Trans. AMS 85 (1958), 428-445.Mathematical Reviews (MathSciNet): MR19:415a
- [13] W. T. Reid, A comparison theorem for self-adjoint differentialequations of second order, Annals of Math. 65 (1957), 197-202.
- [14] H. M. and R. L. Sternberg, A two-point boundary problem for ordinary self-ad joint differential equations of the fourth order, Canadian J. Math. 6 (1954), 416-419.Mathematical Reviews (MathSciNet): MR15:874c

#### Pacific Journal of Mathematics, A Non-profit Corporation

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