| 具有连续变量的2阶差分方程的振动性 |
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| 引用本文： | 赵玉萍.具有连续变量的2阶差分方程的振动性[J].江西师范大学学报(自然科学版),2012,36(2):165-167. |
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| 作者姓名： | 赵玉萍 |
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| 作者单位： | 青海民族大学数学与统计学院,青海西宁,810007 |
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| 基金项目： | 国家自然科学基金(10961020);国家民委(10QH03)资助项目 |
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| 摘 要： | 利用振动理论研究一类具有连续变量的2阶非线性差分方程的振动性,得到了方程的解和解的1阶差分振动的充分条件,并且利用Banach空间的不动点原理研究这类方程的非振动解,得到了这类方程在特殊情形下的有界正解.
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| 关 键 词： | 振动性 连续变量 差分方程 |
Oscillation Criteria for a Family of Second Order Nonlinear Difference Equations with Continuous Arguments |
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| ZHAO Yu-ping.Oscillation Criteria for a Family of Second Order Nonlinear Difference Equations with Continuous Arguments[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,36(2):165-167. |
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| Authors: | ZHAO Yu-ping |
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| Institution: | ZHAO Yu-ping(School of Mathematics and Statistics,Qinghai University for Nationalities,Xining Qinghai 810007,China) |
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| Abstract: | Oscillation criteria for a family of second order nonlinear difference equations with continuous arguments is studied by theory of oscillation.Then some sufficient conditions for the oscillations of all solutions and first order difference of solutions of this equation are established.Using the fixed point theorem in Banach space,the non-oscillatory solution of the equation is studied and positive solution of the equation in special conditions is obtained. |
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| Keywords: | oscillation continuous arguments difference equation |
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