Geodesic
Oscillation of solutions to third-order half-linear neutral differential equations
Electronic Journal of Differential Equations, Tome 2012 (2012).

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

Summary: In this article, we study the oscillation of solutions to the third-order neutral differential equations $$ \Big(a(t)\big([x(t)\pm p(t)x(\delta(t))]''\big)^\alpha\Big)' + q(t)x^\alpha(\tau(t)) = 0. $$ Sufficient conditions are established so that every solution is either oscillatory or converges to zero. In particular, we extend the results obtain in [1] for $a(t)$ non-decreasing, to the non-increasing case.
Classification : 34K11, 34C10
Keywords: third-order neutral differential equation, Riccati transformation, oscillation of solutions 
@article{EJDE_2012__2012__a38,
     author = {Dzurina, Jozef and Thandapani, Ethiraju and Tamilvanan, Sivaraj},
     title = {Oscillation of solutions to third-order half-linear neutral differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a38/}
}
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Dzurina, Jozef; Thandapani, Ethiraju; Tamilvanan, Sivaraj. Oscillation of solutions to third-order half-linear neutral differential equations. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a38/