New Oscillation Criteria for Second-Order Neutral Delay Differential Equations with Positive and Negative Coefficients
Keyword(s):
We establish the oscillation and asymptotic criteria for the second-order neutral delay differential equations with positive and negative coefficients having the forms[x(t)+∑i∈Rci(t)x(αi(t))]′′+r(t)[x(t)+∑i∈Rci(t)x(αi(t))]′+∑i∈Ppi(t)x(βi(t))-∑i∈Qqi(t)x(γi(t))=0and[x(t)+∑i∈Rci(t)x(αi(t))]′′+r(t)[x(t)+∑i∈Rci(t)x(αi(t))]′+∑i∈Ppi(t)x(βi(t))-∑i∈Qqi(t)x(γi(t))=f(t). The obtained new oscillation criteria extend and improve the recent results given in the paperof B. Karpuz et al. (2009).
2011 ◽
Vol 62
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pp. 3682-3691
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2007 ◽
Vol 46
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pp. 415-421
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2007 ◽
Vol 192
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pp. 216-222
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2008 ◽
Vol 56
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pp. 2987-2992
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2009 ◽
Vol 207
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pp. 388-396
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