共查询到20条相似文献,搜索用时 62 毫秒
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时滞抛物方程组振动的充要条件 总被引:2,自引:0,他引:2
本文研究了一类时滞抛物微分方程组在齐次Neumann边界条件下解的振动性,用平均值技巧和Green公式把时滞抛物方程组的振动问题转化为泛函微分方程组的振动问题,获得了判别其所有解振动的一个易于验证的充要条件,并举出实例对主要结果进行阐明. 相似文献
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讨论一类多滞量抛物型时滞偏微分方程解的振动性质,获得了其一切解振动的充要条件及一些充分条件;指出了其与普通抛物型偏微分方程解的质的差异. 相似文献
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非线性抛物型时滞微分方程解振动的充要条件 总被引:14,自引:0,他引:14
讨论了一类多滞量非线性抛物型时滞微分方程解的振动性质,获得了其一切解振动的充要条件;指出了其与普通抛物型偏微分方程解的质的差异。 相似文献
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脉冲时滞抛物型方程解的振动性 总被引:31,自引:0,他引:31
本文研究了两类边界条件下有振动系数的脉冲时滞抛物型方程解的振动性,得到了若干解振动的判别准则。其结果即使用于有固定符号系数的方程,也显著地改进了已有的结果。 相似文献
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本研究了具有正负系数的抛物中立型时滞偏微分方程的振动性,获得了该方程所有解振动的克要条件,并用例子加以说明. 相似文献
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In this paper, sufficient conditions are established for H-oscillation of solutions of the following impulsive vector parabolic differential equations with delays
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In this paper, we prove that every solution of the first order nonlinear neutral differential equation
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《Applied Mathematics Letters》2003,16(7):1039-1045
Oscillation properties of the solutions of a class of odd order neutral delay parabolic differential equations are investigated via the method of differential inequalities. 相似文献
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This paper is concerned with oscillatory behavior of a class of second-order delay dynamic equations on a time scale. Two new oscillation criteria are presented that improve some known results in the literature. The results obtained are sharp even for the second-order ordinary differential equations. 相似文献
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Bao Tong Cui Maoan Han Huizhong Yang 《Journal of Computational and Applied Mathematics》2005,180(2):365-375
This paper deals with the oscillation problems of delay hyperbolic systems with impulses. Some sufficient conditions for oscillations of impulsive delay hyperbolic systems with Robin boundary conditions are obtained and the criteria of oscillation of the systems are established. 相似文献
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Necessary and sufficient conditions for oscillation of delay parabolic differential equations are obtained.AMS Subject Classification (2000): 35B05, 35R10.This work is supported by the Natural Science Foundation of Shandong Province, China (Y2001A03). 相似文献
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Using the generalized Riccati technique and the averaging technique, new oscillation criteria for certain even order delay differential equation of the form
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Y.
ahiner 《Applied mathematics and computation》2004,150(3):2671-706
Oscillation criteria are obtained by using the so called H-method for the second order neutral type delay differential equations of the formwhere z(t)=x(t)+p(t)x(τ(t)), r, p, q, τ, σ, C([t0,∞),R) and f,ψC(R,R).
(r(t)ψ(x(t))z′(t))′+q(t)f(x(σ(t)))=0, tt0,
The results of the paper contains several results obtained previously as special cases. Furthermore, we are also able to fix an error in a recent paper related to the oscillation of second order nonneutral delay differential equations. 相似文献
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Yutaka Shoukaku 《Journal of Mathematical Analysis and Applications》2007,326(1):556-569
In the present paper the oscillatory properties of the solutions of parabolic equations with nonlinear neutral terms are investigated. Our approach is to reduce the multi-dimensional problem to a one-dimensional problem for delay differential inequalities. 相似文献