Geodesic
Methods of oscillation theory of half-linear second order differential equations
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 657-671 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we investigate oscillatory properties of the second order half-linear equation \[ (r(t)\Phi (y^{\prime }))^{\prime }+c(t)\Phi (y)=0, \quad \Phi (s):= |s|^{p-2}s. \qquad \mathrm{{(*)}}\] Using the Riccati technique, the variational method and the reciprocity principle we establish new oscillation and nonoscillation criteria for (*). We also offer alternative methods of proofs of some recent oscillation results.
In this paper we investigate oscillatory properties of the second order half-linear equation \[ (r(t)\Phi (y^{\prime }))^{\prime }+c(t)\Phi (y)=0, \quad \Phi (s):= |s|^{p-2}s. \qquad \mathrm{{(*)}}\] Using the Riccati technique, the variational method and the reciprocity principle we establish new oscillation and nonoscillation criteria for (*). We also offer alternative methods of proofs of some recent oscillation results.
Classification : 34C10
Keywords: half-linear equation; Riccati technique; variational principle; reciprocity principle; principal solution; oscillation and nonoscillation criteria 
@article{CMJ_2000_50_3_a17,
     author = {Do\v{s}l\'y, Ond\v{r}ej},
     title = {Methods of oscillation theory of half-linear second order differential equations},
     journal = {Czechoslovak Mathematical Journal},
     pages = {657--671},
     year = {2000},
     volume = {50},
     number = {3},
     mrnumber = {1777486},
     zbl = {1079.34512},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2000_50_3_a17/}
}
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Došlý, Ondřej. Methods of oscillation theory of half-linear second order differential equations. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 657-671. http://geodesic.mathdoc.fr/item/CMJ_2000_50_3_a17/