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二阶次线性微分方程的振动性 被引量:1

OSCILLATION THEOREMS FOR SECOND ORDER SUBLINEAR ORDINARY DIFFERENTIAL EQUATIONS
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摘要 讨论了二阶次线性微分方程 (g(x(t) )x′(t) )′ +a(t)f(x(t) ) =0 ,(g(x(t) )x′(t) )′ +a(t)f(x(t) ) +q(t)x′(t) =0的振动性 ,及次线性微分方程 (g(x(t) )x(t)′)′+a(t)f(x(t) ) =b(t) ,b(t)∈c[t0 ,∞ )解的渐近性 ,所得结果进一步改进了前人的有关结果 . The osillatory properties of second order sublinear differentia l equations (g(x(t))x′(t))′+ a(t)f(x(t)) =0, and (g(x(t))x′(t))′+ a(t)f(x(t)) +q(t)x ′(t)=0 are investigated. The results obtained generalize some of previous one s.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2003年第4期27-30,共4页 Journal of Qufu Normal University(Natural Science)
关键词 二阶次线性微分方程 振动性 渐近性 振动准则 强次线性 oscillation sublinear differential equ ations second order
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参考文献4

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同被引文献7

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