Geodesic
Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities
Electronic Journal of Differential Equations, Tome 2011 (2011).

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

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     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/