Acta mathematica scientia, Series B >
FORCED OSCILLATION OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH MIXED NONLINEARITIES
Received date: 2008-11-17
Revised date: 2008-12-24
Online published: 2011-03-20
This article is concerned with the oscillation of the forced second order differential equation with mixed nonlinearities
(a(t)( x´(t)γ)´+p0(t) xγ( g0(t))+∑i=1npi(t)l x(gi(t))|αi sgn x (gi(t)) =e(t),
where γ is a quotient of odd positive integers, αi>0, i=1, 2, …, n, a, e, and pi ∈C([ 0, ∞) , {R}, α(t) >0, gi: R→R are positive continuous functions on R with limt→∞gi(t)=∞, i=0, 1, …, n. Our results generalize and improve the results in a recent article by Sun and Wong [29].
Key words： Oscillation; functional differentail equations; second order
Taher S.Hassan , Lynn Erbe , Allan Peterson . FORCED OSCILLATION OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH MIXED NONLINEARITIES[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 613 -626 . DOI: 10.1016/S0252-9602(11)60261-0
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