• [1] R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
• [2] William Benjamin Fite, Concerning the zeros of the solutions of certain differential equations, Trans. Amer. Math. Soc. 19 (1918), no. 4, 341–352. MR 1501107, https://doi.org/10.1090/S0002-9947-1918-1501107-2
• [3] Philip Hartman and Aurel Wintner, The asymptotic arcus variation of solutions of real linear differential equations of second order, Amer. J. Math. 70 (1948), 1–10. MR 0023994, https://doi.org/10.2307/2371927
• [4] Einar Hille, Non-oscillation theorems, Trans. Amer. Math. Soc. 64 (1948), 234–252. MR 0027925, https://doi.org/10.1090/S0002-9947-1948-0027925-7
• [5] Adolf Kneser, Untersuchungen über die reellen Nullstellen der Integrale linearer Differentialgleichungen, Math. Ann. 42 (1893), no. 3, 409–435 (German). MR 1510784, https://doi.org/10.1007/BF01444165
• [6] Walter Leighton, The detection of the oscillation of solutions of a second order linear differential equation, Duke Math. J. 17 (1950), 57–61. MR 0032065
• [7] Walter Leighton, On self-adjoint differential equations of second order, J. London Math. Soc. 27 (1952), 37–47. MR 0046506, https://doi.org/10.1112/jlms/s1-27.1.37
• [8] Richard A. Moore, The behavior of solutions of a linear differential equation of second order, Pacific J. Math. 5 (1955), 125–145. MR 0068690
• [9] Ruth Lind Potter, On self-adjoint differential equations of second order, Pacific J. Math. 3 (1953), 467–491. MR 0056156
• [10] A. Wiman, Über die reellen Lösungen der linearen Differentialgleichungen zweiter Ordnung, Arkiv för Matematik Astronomi och Fysik vol. 12 No. 14 (1917).
• [11] Aurel Wintner, On the Laplace-Fourier transcendents occurring in mathematical physics, Amer. J. Math. 69 (1947), 87–98. MR 0019182, https://doi.org/10.2307/2371656
• [12] Aurel Wintner, A criterion of oscillatory stability, Quart. Appl. Math. 7 (1949), 115–117. MR 0028499, https://doi.org/10.1090/S0033-569X-1949-28499-6

Bibliography

[1]

R. Courant and D. Hilbert, Methods of mathematical physics, New York, Interscience, 1953. MR 0065391 (16:426a)

[2]

W. B. Fite, Concerning the zeros of the solutions of certain differential equations, Trans. Amer. Math. Soc. vol. 19 (1917) pp. 341-352. MR 1501107

[3]

P. Hartman and A. Wintner, The asymptotic arcus variation of solutions of real linear differential equations of second order, Amer. J. Math. vol. 70 (1948) pp. 1-10. MR 0023994 (9:435j)

[4]

E. Hille, Non-oscillation theorems, Trans. Amer. Math. Soc. vol. 64 (1948) pp. 234-252. MR 0027925 (10:376c)

[5]

A. Kneser, Untersuchungen über die reellen Nullstellen der Integrale linearer Differentialgleichungen, Math. Ann. vol. 42 (1893) pp. 409-435. MR 1510784

[6]

W. Leighton, The detection of the oscillation of solutions of a second order linear differential equation, Duke Math. J. vol. 17 (1950) pp. 57-62. MR 0032065 (11:248c)

[7]

-, On self-adjoint differential equations of second order, J. London Math. Soc. vol. 27 (1952) pp. 37-47. MR 0046506 (13:745b)

[8]

R. A. Moore, The behavior of solutions of a linear differential equation of second order, Pacific Journal of Mathematics vol. 5 (1955) pp. 125-145. MR 0068690 (16:925b)

[9]

R. L. Potter, On self-adjoint differential equations of second order, Pacific Journal of Mathematics vol. 3 (1953) pp. 467-491. MR 0056156 (15:32k)

[10]

A. Wiman, Über die reellen Lösungen der linearen Differentialgleichungen zweiter Ordnung, Arkiv för Matematik Astronomi och Fysik vol. 12 No. 14 (1917).

[11]

A. Wintner, On the Laplace-Fourier transcendents occurring in mathematical physics, Amer. J. Math. vol. 69 (1947) pp. 87-98. MR 0019182 (8:381d)

[12]

-, A criterion of oscillatory stability, Quarterly of Applied Mathematics vol. 7 (1949) pp. 115-117. MR 0028499 (10:456a)