Geodesic
Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities
Electronic journal of differential equations, Tome 2011 (2011)
We establish sufficient conditions for the oscillation of all solutions to the second-order impulsive differential equation

$\displaylines{ \big(r(t)x'(t)\big)'+p(t)x'(t)+q(t)x(t)+\sum_{i=1}^n q_i(t)|x(t)|^{\alpha_i}\hbox{sgn} x(t)=e(t),\quad t\neq \tau_k,\cr x({\tau_k}^+)=a_k x({\tau_k}),\quad x'({\tau_k}^+)=b_k x'({\tau_k}). }$

The results obtained in this paper extend some of the existing results and are illustrated by examples.
Classification : 34C10, 34A37
Keywords: oscillation, second order, impulse, damping term, mixed nonlinearities 
@article{EJDE_2011__2011__a18,
     author = {Muthulakshmi,  Velu and Thandapani,  Ethiraju},
     title = {Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1216.34026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a18/}
}
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Muthulakshmi,  Velu; Thandapani,  Ethiraju. Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a18/