| 关于二阶非线性方程的振动性 |
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| 引用本文： | 关于二阶非线性方程的振动性[J]. 华南师范大学学报（自然科学版）,1986,(2): 1. |
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| 作者姓名： | 陈永劭 |
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| 摘 要： | 1978年,Kamenev[1]证明了由(?)ds_(n-1)…ds_1= ∞可推知线性方程y″ a(t)y=0振动.在本文的定理1中,作者证明了Kamenev的判别法也适用于次线性方程.在定理2,这一个结果被进一步推广到更广泛的非线性方程.
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| 关 键 词： | 二阶 次线性方程 非线性方程 振动 解 |
ON THE OSCILLATION OF SOME SECOND ORDER NONLINEAR EQUATIONS |
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| Chen Yongshao. ON THE OSCILLATION OF SOME SECOND ORDER NONLINEAR EQUATIONS[J]. Journal of South China Normal University(Natural Science Edition), 1986, 0(2): 1 |
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| Authors: | Chen Yongshao |
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| Affiliation: | Chen Yongshao |
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| Abstract: | In 1978 Kamenev proved that if limds1= ) then the linear equations y" a(t)y=0 is oscrllatory.In theorem 1 of this paper, it is proved that the Kamenev's criterion is also valid for a certain sublinear equation. In theorem 2 , this result is further xtended to some more general nonlinear equations. |
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| Keywords: | second order sublinear equation nonlinear equation oscil-lation solution. |
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