几类微分方程的振动性研究.pdf

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12、′c(t)[x(t)+p(t)x(τ(t))](n−1)+q(t)xα(σ(t))=0e℄(K1)(K2)(K3))Æ′c(t)([x(t)+p(t)x(τ(t))](n−1))α)+q(t)xα(σ(t))=0,iq$=:-YZe℄(K1)(K2)(K4))b
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13、(K1)q(t)>0,0≤p(t)≤p0<∞;(K2)τ(t)=a+bt,b>0,σ(t)∈C([t0,∞)),τ(t)≤t,τ◦σ=σ◦τ,limt→∞σ(t)=0;′Rt1(K3)c(t)>0,c(t)>0,limt→∞t1c(s)ds=∞;Rt

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15、rentialequationderivedfromlotsofpracticalapplications,suchaswhetherdifferentialequationhasaoscillatingsolutionornot,andwhetherallofitssolutionsareoscillatoriesornotforallthestructuresofitsemergencehavedeepphysicalbackgroundandrealisticmathematicalmodels.Alongwiththedevelopm

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