共查询到17条相似文献,搜索用时 406 毫秒
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杨甲山 《数学物理学报(A辑)》2014,34(2):393-408
研究了时间测度链上一类具正负系数和阻尼项及非线性中立项的二阶变时滞非线性动力方程的振荡性.利用时间测度链上的有关理论及广义Riccati变换,结合大量不等式技巧,建立了该方程若干新的振动准则,这些准则不仅推广和改进了一些已知的结果,而且在时间测度链上统一了二阶非线性时滞阻尼微分方程和二阶非线性时滞阻尼差分方程的振动性质. 相似文献
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研究一类具连续分布时滞的二阶半线性阻尼微分方程,利用Yang不等式、广义Riccati变换和H函数,给出了此类方程所有解振动新的充分条件,所得结果推广和改进了已有文献的结果. 相似文献
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《数学的实践与认识》2019,(24)
研究一类具阻尼项的二阶广义Emden-Fowler型变时滞的泛函差分方程的振动性,通过引入二重序列H_(n,s),并结合一些经典不等式,获得了该类差分方程振动的4个新的充分条件,所得结果反应了时滞项和阻尼项在差分系统振动中的影响作用. 相似文献
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研究了一类二阶半线性时滞微分方程解的振动性质.在一定条件下,建立了两个新的振动性定理,推广和改进了已知的结果. 相似文献
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Quanxin Zhang 《Journal of Computational and Applied Mathematics》2011,235(5):1180-1188
By using the generalized Riccati transformation and the inequality technique, we establish a few new oscillation criterions for certain second-order half-linear delay dynamic equations with damping on a time scale. Our results extend and improve some known results, but also unify the oscillation of the second-order half-linear delay differential equation with damping and the second-order half-linear delay difference equation with damping. 相似文献
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Interval oscillation criteria are established for second-order forced super half-linear dynamic equations on time scales containing both delay and advance arguments, where the potentials and forcing term are allowed to change sign. Four discrete examples are provided to illustrate the relevance of the results. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives. 相似文献
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Ravi P. Agarwal Martin Bohner Tongxing Li Chenghui Zhang 《Mediterranean Journal of Mathematics》2014,11(2):463-475
This article is concerned with oscillatory behavior of a class of fourth-order half-linear delay dynamic equations with damping on a time scale. Some new oscillation criteria are established. 相似文献
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By using the generalized Riccati transformation and the inequality technique, we establish some new oscillation criteria for the second-order nonlinear delay dynamic equations with damping on a time scale. Our results extend and improve some known theorems, but also unify the oscillation of the second-order nonlinear delay differential equation with damping and the second-order nonlinear delay difference equation with damping. 相似文献
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We compute explicitly the oscillation constant for certain half-linear second-order differential equations involving periodic coefficients. If these periodic functions are constants, our results reduce to the well-known oscillation constants for half-linear Euler and Riemann–Weber differential equations. 相似文献
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《Mathematical and Computer Modelling》2004,39(9-10):1165-1183
In this paper, for second-order superlinear differential equations, we present new oscillation criteria. Our results involve comparison with related linear and half-linear second-order differential equations, so that the known oscillation theorems from literature can be employed directly. 相似文献
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Martin Bohner Said R. Grace Irena Jadlovská 《Mathematical Methods in the Applied Sciences》2020,43(17):10041-10053
This paper is a continuation of a recent work by the authors on the oscillatory properties of second-order half-linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable. 相似文献