Geodesic
Oscillation Criteria for y"" + p(t)f(y,y’) = 0 with f Homogeneous of Degree One
Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 323-337

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

Let be the class of functions f : R2 → R satisfying (1) f is continuous, (2) for all t, x, y ∈ R, (4) f is locally Lipschitzian. The classical Sturm theorems, the Leighton-Wintner oscillation theorem, and perturbation theorems have been established by Bihari in [1; 2; 3] for the equation , .This paper investigates the question of strong oscillation of (1.1) for p ∈ C[0, ∞ ), f ∈ . The equation is viewed as “almost linear” because of the homogeneity and sign conditions on f. 
Gustafson, G. B. Oscillation Criteria for y"" + p(t)f(y,y’) = 0 with f Homogeneous of Degree One. Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 323-337. doi: 10.4153/CJM-1973-031-2
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