The monotonicity of extremants of integrals of the differential equation $y^{\text{'}\text{'}}+q\left(t\right)y=0$

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1. Hartman Philip, On Differential Equations and the Functions $J_{\mu }^2+Y_{\mu }^2$, (Amer. Journ. of Math. Vol. 83, 1961, str. 154-187) (1961) MR0123039
2. Lorch Lee, Szego Peter, Higher Monotonicity Properties of Certain Sturm-Liouville Functions, (Acta Math. 109, 1963, str. 55-73) (1963) Zbl0113.27704MR0147695
3. Lorch Lee, Szego Peter, Higher Monotonicity Properties of Certain Sturm-Liouville Functions II, (Bull. de l'Academie Polonaise des Sci. Ser. Math. Astr. et Phys. Vol. XI, 1963, str. 455-457). (1963) Zbl0113.27704MR0147695

1. Jaromír Vosmanský, Monotonic properties of zeros and extremants of the differential equation $y^{\text{'}\text{'}}+q\left(t\right)y=0$
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6. Elena Pavlíková, Higher monotonicity properties of certain Sturm-Liouville functions
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