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1.
In this paper, a class of second order nonlinear neutral difference equations with variable delays are studied. The criteria for existence of bounded eventually positive solution is obtained by using Banach contraction mapping principle and some necessary techniques. Moreover, some sufficient conditions for oscillation of the equations are given. Some results available in documents are extended in this paper. Illustrative examples are given.  相似文献   

2.
In this paper, we present new oscillation criteria for certain class of second order nonlinear delay difference equations by using an averaging technique.  相似文献   

3.
We present some new oscillation criteria for second order neutral delay differential equations with distributed deviating argument using the Riccati technique and some inequalities. The results obtained improve and extend some known results.  相似文献   

4.
In this paper,we investigate oscillation of solutions to a class of second order neutral delay difference equations with continuous arguments. We then obtain some sufficient conditions for bounded oscillation of the solutions.  相似文献   

5.
We establish new Kamenev-type oscillation criteria for the half-linear partial differential equation with damping under quite general conditions. These results are extensions of the recent results developed by Sun [Y.G. Sun, New Kamenev-type oscillation criteria of second order nonlinear differential equations with damping, J. Math. Anal. Appl. 291 (2004) 341-351] for second order ordinary differential equations in a natural way, and improve some existing results in the literature. As applications, we illustrate our main results using two different types of half-linear partial differential equations.  相似文献   

6.
Using Riccati transformation techniques,some oscillation criteria for the forced second-order superlinear difference equations are established.These criteria are dis- crete analogues of the criteria for differential equations proposed by Yan.  相似文献   

7.
Some new criteria for the oscillation of a fourth order sublinear and/or linear dynamic equation on time scale are established. Our results are new for the corresponding fourth order differential equations as well as difference equations.  相似文献   

8.
OSCILLATION RESULTS FOR A SECOND ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS   总被引:1,自引:0,他引:1  
Some new oscillation criteria are established for a second order neutral delay differential equations. These results improve oscillation results of Y.V. Rogo-vchenko for the retarded delay differential equations. The relevance of our theorems is illustrated with two carefully selected examples.  相似文献   

9.
Using the integral average technique and a new function,some new oscillation criteria related to Euler integral are obtained for second order nonlinear differential equations with damping and forcing. Our results are of a higher degree of generality than some previous results. Information about the distribution of the zeros of solutions to the system is also obtained.  相似文献   

10.
In this paper, we are concerned with the second order neutral difference equation with continuous variable. Using the integral transformation and generalized Riccati transformation, we obtain some oscillation criteria.  相似文献   

11.
In this paper, we summarize some recent oscillation criteria for second order nonlinear differential equations and systems of differential equations, some known oscillation criteria for second order linear differential equations are also involved, and we point out the origin of theses criteria.  相似文献   

12.
二阶非线性中立型时滞差分方程的振动性   总被引:3,自引:0,他引:3  
研究了一类具有多个变滞量的变系数的二阶非线性中立型时滞差分方程的振动性,得到了该类方程振动及其解的一阶差分振动的充分条件,推广了现有文献中的某些结果.  相似文献   

13.
研究了一类具有最大值项和连续变量的非线性二阶中立型时滞差分方程的振动性,利用Banach空间的不动点原理和一些不等式技巧,得到了这类方程存在最终正解的充分条件,并得到了该方程振动的一些判别准则.  相似文献   

14.
利用Riccati变换和积分平均方法,研究了一类具有阻尼项的二阶非线性方程的解为振动的若干充分条件,建立了一些判定上述方程为振动的充分准则,结果推广并加强了已有的一些振动准则·  相似文献   

15.
In this paper, we are mainly concerned with oscillatory behaviour of solutions for a class of second order nonlinear neutral difference equations with continuous variable. Using an integral transformation, the Riccati transformation and iteration, some oscillation criteria are obtained.  相似文献   

16.
Some Kamenev-type oscillation criteria are obtained for a second order quasilinear damped differential equation with impulses. These criteria generalize and improve some well-known results for second order differential equations with /and without impulses. In addition, new oscillation criteria are also obtained to generalize and improve known results. Two examples of applications are given to illustrate the theory.  相似文献   

17.
COMPARISON AND OSCILLATION THEOREMS FOR AN ADVANCED TYPE DIFFERENCE EQUATIONCOMPARISONANDOSCILLATIONTHEOREMSFORANADVANCEDTYPE...  相似文献   

18.
带有多个变滞量的二阶中立型差分方程振动性判据   总被引:11,自引:0,他引:11  
研究了一类较广泛的带有多个变滞量的变系数的二阶中立型差分方程的振动性 ,给出了该类方程振动及差分算子△振动的判据 .  相似文献   

19.
考虑带有非线性阻尼项的一类二阶微分方程的振动性质.在一般的假设下我们建立了这类方程的若干新的振动准则.所得结果推广和改进了文献中的某些结果.  相似文献   

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