Geodesic
Oscillation of solutions to odd-order nonlinear neutral functional differential equations
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this note, we establish some new comparison theorems and Philos-type criteria for oscillation of solutions to the odd-order nonlinear neutral functional differential equation $$ [x(t)+p(t)x(\tau(t))]^{(n)}+q(t)x^\alpha(\sigma(t))=0, $$ where $0\leq p(t)\leq p_0\infty$ and $\alpha\geq1$.
Classification : 34K11, 34C10
Keywords: odd-order, neutral differential equation, oscillation, asymptotic behavior 
@article{EJDE_2011__2011__a49,
     author = {Li, Tongxing and Thandapani, Ethiraju},
     title = {Oscillation of solutions to odd-order nonlinear neutral functional differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a49/}
}
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Li, Tongxing; Thandapani, Ethiraju. Oscillation of solutions to odd-order nonlinear neutral functional differential equations. Electronic Journal of Differential Equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a49/