| 一类二阶非线性泛函微分方程的振动准则 |
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| 引用本文： | 王芳.一类二阶非线性泛函微分方程的振动准则[J].雁北师范学院学报,2013(4):4-6. |
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| 作者姓名： | 王芳 |
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| 作者单位： | 中北大学数学系,山西太原030008 |
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| 摘 要： | 讨论一类二阶非线性泛函微分方程（a（t）y′（t）σ）′＋q（t）F（y（t）,y（τ（t）））g（y′（t））=0在F（u,ν）=f（ν）∈C（R,R）这一特殊情形时方程解的振动性,得到此类方程的解振动性的充分判据,所获得的结果可应用于σ是分母为奇数时的情形,改进了一些文献中的相应结论。
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| 关 键 词： | 非线性 泛函微分方程 振动性 |
Oscillation Criteria for Some Second Order Nonlinear Functional Differential Equation |
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| WANG Fang.Oscillation Criteria for Some Second Order Nonlinear Functional Differential Equation[J].Journal of Yanbei Teachers College,2013(4):4-6. |
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| Authors: | WANG Fang |
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| Institution: | WANG Fang(Department of Mathematics,North University of China,Taiyuan Shanxi,030008) |
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| Abstract: | In recent years,the oscillatory theory of functional differential equation attracted much attention,which has great significance in the theory and practice.In this paper,we discuss the oscillatory of the solution for the second order nonlinear functional differential equation when is a special case of oscillation of the equations,to get the sufficient criteria for the oscillatory of the solution for this kind of equation.The results are used when the denominator is odd,and improve the relevant conclusion in some literature. |
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| Keywords: | nonlinear functional differential equation oscillatory nature |
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