Geodesic
Extension of a Result of L. Lorch and P. Szego On Higher Monotonicity
Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 447-451

Voir la notice de l'article provenant de la source Cambridge University Press

We suppose that {x1, x2, ...}, are increasing sequences of consecutive zeros of non-trivial solutions y(x), , of the differential equation (1) on an open interval I, and define, for any fixed λ > - 1, 
Muldoon, M. E. Extension of a Result of L. Lorch and P. Szego On Higher Monotonicity. Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 447-451. doi: 10.4153/CMB-1968-052-7
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[1] 1. Lorch, Lee and Szego, Peter, Higher monotonicity properties of certain Sturm-Liouville functions. Acta Math., 109 (1963) 55-73. Google Scholar

[2] 2. Lorch, Lee and Szego, Peter, Higher monotonicity properties of certain Sturm-Liouville functions II. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 11 (1963) 455-457. Google Scholar

[3] 3. Pólya, G. and Szegö, G., Aufgaben und Lehrsätze aus der Analysis II. (2nd ed., Berlin, 1954). Google Scholar

[4] 4. Seminar, D.E., Some elementary converse problems in ordinary differential equation (Seminar on differential equations, Aarhus University, 1964-65), to appear in Canadian Mathematical Bulletin. Google Scholar

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