Study of Oscillation Theorems for Certain Second Order Nonlinear Differential Equations

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- Study of Oscillation Theorems for Certain Second Order Nonlinear Differential Equations
- 关于某类二阶非线性微分方程的振荡问题的探讨
- Issue 3, Pages: 29-37(1986)
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- Published：1986
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吕永臣, 韩效宥. Study of Oscillation Theorems for Certain Second Order Nonlinear Differential Equations[J]. 1986, (3): 29-37.
DOI：

吕永臣, 韩效宥. Study of Oscillation Theorems for Certain Second Order Nonlinear Differential Equations[J]. 1986, (3): 29-37. DOI：

John R.Graef

Samuel M.Rankin 和 Paul.W.Spikes 在他们的论文中研究了二阶非线性常微分方程(a(t)x′)′+Q(t

x)=P(t

X′) (A)的解的振荡问题

并给出了关于该方程的全部解是振荡的判别定理。在本文中所研究的是非线性方程(a(t)x′~(2n+1))′+Q(t

x)=P(t

x′)的解的振荡问题

也给出了一组相应的判别定理。显然本文的结果在某种成度上推广了方程(A)的结果

对于常微分方程定性理论研究是有一定意义的。

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