共查询到20条相似文献,搜索用时 234 毫秒
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《Journal of Computational and Applied Mathematics》1997,84(2):189-206
The paper deals with parabolic differential-functional equations. Initial-boundary value problems are considered with impulses given in fixed points. We prove theorems on difference-functional impulsive inequalities generated by original problems.Explicit finite difference schemes are used to approximate the solutions of the original problems. We give sufficient conditions for the convergence of sequences of approximate solutions under the assumptions that the right-hand sides satisfy the nonlinear estimates of the Perron type with respect to the functional argument. In proof of the convergence of difference methods we apply theorems on difference-functional impulsive inequalities. 相似文献
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D. Jaruszewska-Walczak 《Ukrainian Mathematical Journal》1999,51(2):269-280
For impulsive partial differential-functional equations, we prove the theorems on existence and uniqueness of solutions and
their continuous dependence on the right-hand sides of the equations.
Published in Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 2, pp. 241–250, February, 1999. 相似文献
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讨论非线性时滞脉冲中立型双曲方程的振动性质,利用平均值方法以及泛函微分不等式获得了该类方程在一类非线性边值条件下所有解振动的充分判据.结果表明,振动是由滞量和脉冲引起的. 相似文献
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研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏泛函微分方程,利用二阶脉冲时滞微分不等式,得到了该类方程在两类不同边值条件下所有有界解振动的若干充分判据. 相似文献
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In this paper, oscillation properties of the solutions of impulsive hyperbolic equation with delay are investigated via the method of differential inequalities. Sufficient conditions for oscillations of the solutions are established. 相似文献
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《Nonlinear Analysis: Real World Applications》2008,9(1):94-102
In this paper, we are mainly concerned with the oscillation problems of nonlinear hyperbolic differential systems with impulses. Some sufficient conditions for oscillations of the solutions of nonlinear impulsive 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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Xiao Li Liu Ting Liu Anping Li Yarding 《Annals of Differential Equations》2005,21(3):465-468
In this paper, oscillatory properties of solutions for nonlinear impulsive hyperbolic differential equation are investigated and some new sufficient conditions are established. 相似文献
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研究一类具脉冲时滞的非线性双曲型向量泛函微分方程解的H-振动性.方法是采用由Domslak引进的H-振动性的概念,将向量微分方程解的振动问题转化为纯量微分不等式正解和负解的不存在性问题.得到了解的H-振动性的若干判别准则. 相似文献
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拟线性脉冲时滞双曲型方程组的振动性定理 总被引:1,自引:0,他引:1
In this paper, oscillatory properties for solutions of the systems of certain quasilinear impulsive delay hyperbolic equations with nonlinear diffusion coefficient are investigated. A sufficient criterion for oscillations of such systems is obtained. 相似文献
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In this paper, oscillatory properties for solutions of the systems of certain quasilinear impulsive delay hyperbolic equations with nonlinear diffusion coefficient are investigated. A sufficient criterion for oscillations of such systems is obtained. 相似文献
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具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动判据 总被引:2,自引:0,他引:2
研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏微分方程的振动性,利用特征函数法和一阶脉冲时滞微分不等式,获得了该类方程在两类不同边值条件下所有解振动的若干充分性判据.所得结论充分反映了脉冲和时滞在振动中的影响作用. 相似文献
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In this paper, oscillatory properties of all solutions for neutral type impulsive hyperbolic equations with several delays under the Robin boundary condition are investigated and several new sufficient conditions for oscillation are presented. 相似文献
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In this paper, oscillatory properties of all solutions for neutral type impulsive hyperbolic equations with several delays under the Robin boundary condition are investigated and several new sufficient conditions for oscillation are presented. 相似文献
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考虑一类具非线性扩散项的脉冲时滞双曲型偏微分方程的振动性,借助一阶脉冲时滞微分不等式,获得了该类方程在Dirichlet边值条件下所有解振动的若干充分判据. 相似文献
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Abdelkader Belarbi 《Journal of Mathematical Analysis and Applications》2007,327(2):1116-1129
In this paper, the existence of solutions for a perturbed impulsive hyperbolic differential inclusion with variable times is proved under the mixed generalized Lipschitz and Carathéodory's conditions. 相似文献
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《Journal of Computational and Applied Mathematics》1998,88(1):95-101
A superlinear first-order differential-functional equation is considered with a delay depending on the unknown function. Sufficient conditions are provided for the existence of positive solutions to the equation under consideration. 相似文献
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In this article, we investigate a class of impulsive vector hyperbolic differential equation with delays. Several sufficient conditions are established for H-oscillation of solutions of such systems subject to the Neumann boundary condition by employing certain second-order impulsive differential inequality, where H is a unit vector in ? M . The main results are illustrated by two examples. 相似文献