Geodesic
Comparison theorems for half-linear differential equations of the fourth order
Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2 
J. Jaroš. Comparison theorems for half-linear differential equations of the fourth order. Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a11/
@article{AMUC_2011_80_2_a11,
     author = {J. Jaro\v{s}},
     title = {Comparison theorems for half-linear differential equations of the fourth order},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2011},
     volume = {80},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2011_80_2_a11/}
}
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Voir la notice de l'article provenant de la source Comenius University

An identity of the Picone type for fourth-order half-linear ordinary differential operators of the form where φ( u ) := | u | α - 1 u , α > 0, u Î R , and p, q, r, P, Q and R are continuous functions on a given interval I is derived and then Sturmian comparison theory for the corresponding fourth-order equations l α [ x ] = 0 and L α [ y ] = 0 based on this identity is developed.