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OSCILLATIONS OF HIGHER ORDER NEUTRAL DIFFERENTIAL EQUATIONS

OSCILLATIONS OF HIGHER ORDER NEUTRAL DIFFERENTIAL EQUATIONS *
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摘要 Consider the higher order neutral differential equation[x(t)-P(t)x(t-τ)] (n) +Ni=1Q i(t)x(t-σ i(t))=0, tt 0with P(t),Q i(t),σ i(t)(i=1,2,…,N) continuous, τ >0 and n is odd. We establish several new sufficient conditions for the oscillation of all solutions. Some of these conditions including generalize and improve the known results one in . AMS Subject Classifications: 34K15, 34C10. Consider the higher order neutral differential equation[x(t)-P(t)x(t-τ)] (n) +Ni=1Q i(t)x(t-σ i(t))=0, tt 0with P(t),Q i(t),σ i(t)(i=1,2,…,N) continuous, τ >0 and n is odd. We establish several new sufficient conditions for the oscillation of all solutions. Some of these conditions including generalize and improve the known results one in . AMS Subject Classifications: 34K15, 34C10.
出处 《Annals of Differential Equations》 1998年第1期58-69,共12页 微分方程年刊(英文版)
关键词 OSCILLATION positive solution neutral differential equation oscillation, positive solution, neutral differential equation
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