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Keywords:
linear differential equations; distribution of zeros; asymptotic behaviour; Abel’s functional equation
linear differential equations; distribution of zeros; asymptotic behaviour; Abel’s functional equation
Summary:
References:
[1] E. Barvínek: O rozložení nulových bodů řešení lineární diferenciální rovnice $y^{\prime \prime }=Q(t)y$ a jejich derivací. Acta F. R. N. Univ. Comenian 5 (1961), 465–474.
[2] O. Borůvka: Linear Differential Transformations of the Second Order. The English Univ. Press, London, 1971. MR 0463539
[3] B. Choczewski: On differentiable solutions of a functional equation. Ann. Polon. Math. 13 (1963), 133–138. MR 0153998
[4] M. Kuczma: Functional Equations in a Single Variable. PWN, Warszawa, 1968. MR 0228862 | Zbl 0196.16403
[5] F. Neuman: Distribution of zeros of solutions of $y^{\prime \prime } = q(t)y$ in relation to their behaviour in large. Studia Sci. Math. Hungar 8 (1973), 177–185. MR 0333344 | Zbl 0286.34050
[6] F. Neuman: Global Properties of Linear Ordinary Differential Equations. Mathematics and Its Applications (East European Series) 52, Kluwer Acad. Publ., Dordrecht-Boston-London, 1991, ISBN 0-7923-1269-4. MR 1192133
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