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1.
二阶微分方程非振动的必要与充分条件 总被引:1,自引:0,他引:1
本文证明了一个微分恒等式,得到了二阶非线性微分方程非振动的一个充要条件,研究了一类二阶微分方程的振动性质,推广了现有的结果。 相似文献
2.
Cemil Tun 《Annals of Differential Equations》2011,(4):418-421
This paper presents a new result related to the instability of the zero solution to a nonlinear vector differential equation of fourth order.Our result includes and improves an instability result in the previous literature,which is related to the instability of the zero solution to a nonlinear scalar differential equation of fourth order. 相似文献
3.
In this paper, authors investigate the order of growth and the hyper order of solutions of a class of the higher order linear differential equation, and improve results of M. Ozawa^[6], G. Gundersen^[7] and J.K. Langley^[8], Li Chun-hong^[11]. 相似文献
4.
Feng Chun 《Annals of Differential Equations》2005,21(3):268-270
In this paper, we study the growth of the solutions for 1st kind of differential equations of higher order in the unit disc. We give a sufficient condition for all solutions of second order linear differential equation to be inadmissible and a sufficient condition for all solutions of higher order linear differential equation to be of infinite order. 相似文献
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本文研究了分数阶微分方程(1.1)解的延拓问题.利用解的表达式给出方程解的可延拓条件,在此基础上研究了解可以延拓至何种程度的有关结果,且探讨了解的存在区间为[to,+∞)的条件. 相似文献
7.
Zheng Dayi Lu Xuanzhu 《Annals of Differential Equations》2005,21(3):518-524
In this paper, a space fractional differential equation is considered. The equation is obtained from the parabolic equation containing advection, diffusion and reaction terms by replacing the second order derivative in space by a fractional derivative in space of order. An implicit finite difference approximation for this equation is presented. The stability and convergence of the finite difference approximation are proved. A fractional-order method of lines is also presented. Finally, some numerical results are given. 相似文献
8.
王红 《纯粹数学与应用数学》1997,(2)
首先通过选取适当的等温参数将三维Minkowski空间R2.1中的全脐点类时曲面与Liouvile方程相联系.其次,通过类时曲面上的类光曲线坐标将R2.1中的类时极值曲面与齐次波动方程相联系.进一步,利用Liouvile方程与齐次波动方程之间的Backlund变换,我们可以从三维Minkowski空间中一个全脐点的类时曲面得到该空间中一个类时极值平移曲面. 相似文献
9.
In this paper, we consider a higher order differential equation and obtain a precise estimate of the order of growth and the hyper-order of solutions to the equation. 相似文献
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11.
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF A CLASS OF FIRST ORDER NEUTRAL DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY 总被引:1,自引:0,他引:1
冯月才 《Annals of Differential Equations》2004,20(1):37-40
The oscillatory and asymptotic behavior of a class of first order nonlinear neutral differential equation with piecewise constant delay and with diverse deviating arguments are considered. We prove that all solutions of the equation are nonoscillatory and give sufficient criteria for asymptotic behavior of nonoscillatory solutions of equation. 相似文献
12.
Oscillatory behavior of solutions of second order nonlinear difference equation is studied. Oscillation criteria for its solutions are given. Examples are given in the text to illustrate the results. 相似文献
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14.
CHEN Zongxuan 《数学年刊B辑(英文版)》2003,24(4):501-508
The author investigates the hyper order of Solutions of the higher order linear equation, and improves the results of M. Ozawa[15], G. Gundersen[6] and J. K. Langley[12]. 相似文献
15.
金永阳 《数学年刊A辑(中文版)》2002,(4)
本文得到了一类带奇异低阶项椭圆万程的非负解的Harnack不等式、方程的形式为L0u+biuxi=0,其中L0为一具Holder连续系数的非散度型椭圆算子,|b|2属于Kato类. 相似文献
16.
曾文平 《高等学校计算数学学报》2004,26(4):378-384
In this paper, we present two classes of symplectic schemes with high order accuracy for solving four-order rod vibration equation utt uxxxx=0 via the third type generating function method. First, the equation of four order rod vibration is written into the canonical Hamilton system; second, overcoming successfully the essential difficult on the calculus of high order variations derivative, we get the semi-discretization with arbitrary order of accuracy in time direction for the PDEs by the third type generating function method. Furthermore the discretization of the related modified equation of original equation is obtained. Finally, arbitrary order accuracy symplectic schemes are obtained. Numerical results are also presented to show the effectiveness of the scheme, high order accuracy and properties of excellent long-time numerical behavior. 相似文献
17.
本文首先引入高阶Schrodinger方程容许对的概念,进而给出了线性亢介Schrodinger方程解的空间时估计,利用空时估计及非线性函数的估计,证明了高阶非线性Schrodinger方程整体强解的存在唯一性。 相似文献
18.
The asymptotic behavior of solutions to certain integro-differential equation of arbitrary order is studied. Examples are given to illustrate the results. 相似文献
19.
调和方程自然边界元Shannon 小波方法 总被引:4,自引:0,他引:4
1 引言 调和方程无论是在数学上还是在物理学中都占有重要地位,它有很多不同的物理背景,在力学和物理学中研究的许多问题都可归结为调和方程的边值问题,所以对调和方程进行深入研究有重要意义.余德浩教授在[3]中主要对调和方程在典型域(即单位圆,上半平面)上的情形进行了考虑.特别地,对单位圆的情形给出了刚度矩阵系数的计算公式和调和方程解的存在唯一性.本文采用由冯康教授[1]开创的自然边界元方法和Galerkin小波方法相耦合,对上半平面的调和方程Neumann问题进行了研究,得到十分有效的计算结果. 相似文献
20.
本文先扼要介绍一类三阶双曲抛物混合型偏微分方程的边值问题,然后讨论了与之有关的一类变系数三阶双曲型方程以特征线为支柱的边值问题,得到了有唯一解时此变系数应满足的充分必要条件。 相似文献