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-  2012 

具有连续变量的2阶差分方程的振动性
Oscillation Criteria for a Family of Second Order Nonlinear Difference Equations with Continuous Arguments

Keywords: 振动性,连续变量,差分方程
振动性 连续变量 差分方程
,振动性 连续变量 差分方程,振动性 连续变量 差分方程

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Abstract:

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.
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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