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Hille, Einar

Non-oscillation theorems. (English) Zbl 0031.35402

Trans. Am. Math. Soc. 64, 234-252 (1948).
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Cited in 165 Documents

Keywords:

Ordinary differential equations
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\textit{E. Hille}, Trans. Am. Math. Soc. 64, 234--252 (1948; Zbl 0031.35402)
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References:

[1] Richard Bellman, The boundedness of solutions of linear differential equations, Duke Math. J. 14 (1947), 83 – 97. · Zbl 0029.35702
[2] Émile Cotton, Sur les solutions asymptotiques des équations différentielles, Ann. Sci. École Norm. Sup. (3) 28 (1911), 473 – 521 (French). · JFM 42.0346.02
[3] William Benjamin Fite, Concerning the zeros of the solutions of certain differential equations, Trans. Amer. Math. Soc. 19 (1918), no. 4, 341 – 352.
[4] E. Hille, A general type of singular point, Proc. Nat. Acad. Sci. U.S.A. vol. 10 (1924) pp. 488-493.
[5] Adolf Kneser, Untersuchungen über die reellen Nullstellen der Integrale linearer Differentialgleichungen, Math. Ann. 42 (1893), no. 3, 409 – 435 (German). · JFM 25.0522.01
[6] N. Levinson, The growth of the solutions of a differential equation, Duke Math. J. 8 (1941), 1 – 10. · Zbl 0024.39903
[7] B. Riemann-H. Weber, Die partiellen Differentialgleichungen der Mathematischen Physik, vol. II, 5th ed., Braunschweig, 1912, xiv+575 pp. · JFM 43.0438.12
[8] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. · Zbl 0063.08184
[9] A. Wiman, Über die reellen Lösungen der linearen Differentialgleichungen zweiter Ordnung, Arkiv för Matematik, Astronomi och Fysik vol. 12, no. 14 (1917) 22 pp. · JFM 46.0666.04
[10] Aurel Wintner, On the Laplace-Fourier transcendents occurring in mathematical physics, Amer. J. Math. 69 (1947), 87 – 98. · Zbl 0034.36701
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