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1.
中立型二阶非线性微分方程振动性的判据 总被引:7,自引:0,他引:7
Abstract. In this paper ,the oscillation criteria for the solutions of the nonlinear differential e-quations of neutral type of the forms: 相似文献
2.
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
3.
Oscillation criteria and asymptotic properties of solutions of third‐order nonlinear neutral differential equations 下载免费PDF全文
T. Candan 《Mathematical Methods in the Applied Sciences》2015,38(7):1379-1392
The main goal of this article is to study the asymptotic properties and oscillation of the third‐order neutral differential equations with discrete and distributed delay. We give several theorems and related examples to illustrate the applicability of these theorems. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
4.
一类二阶中立型偏泛函微分方程组解的振动性 总被引:7,自引:2,他引:7
林文贤 《纯粹数学与应用数学》2003,19(3):263-267
获得了一类二阶中立型偏泛函微分方程组解振动的若干充分条件. 相似文献
5.
Mustafa Hasanbulli 《Applied mathematics and computation》2010,215(12):4392-4399
By refining the standard integral averaging technique, we obtain new oscillation criteria for a class of second order nonlinear neutral differential equations of the form
(r(t)(x(t)+p(t)x(t-τ))′)′+q(t)f(x(t),x(σ(t)))=0. 相似文献
6.
In this paper, sufficient conditions are obtained for oscillation of all nontrivial, prepared, symmetric solutions of a class
of nonlinear second order matrix differential equations of the form
and
相似文献
7.
8.
带有振动系数的一类高阶中立型非线性受迫微分方程的振动准则 总被引:1,自引:0,他引:1
在本文中,我们获得形如[y(t) l∑j=1pj(t)y(σj(t))](n) ∫0q(t,s)f(y(t s))dσ(s)=h(t)的带有振动系数的一类高阶中立型非线性受迫微分方程的振动准则. 相似文献
9.
10.
Pitambar Das 《Proceedings Mathematical Sciences》1995,105(2):219-225
Consider the odd-order functional differential equation
相似文献
11.
Oscillation of first order delay differential equations 总被引:7,自引:0,他引:7
Bingtuan Li 《Proceedings of the American Mathematical Society》1996,124(12):3729-3737
We introduce a new technique to analyze the generalized characteristic equations to obtain some infinite integral conditions for oscillation of the nonautonomous delay differential equations.
12.
一阶中立型时滞微分方程的振动性 总被引:1,自引:0,他引:1
李雪梅 《纯粹数学与应用数学》2000,16(1):75-79
分别获得了中立型时滞微分方程「x(t)+px(t-γ」’+q(t)x(t-σ)=0的振动性和非振动性的充分条件,其中p〉0,q(t)是一个正的周期函数。 相似文献
13.
林文贤 《纯粹数学与应用数学》2007,23(4):467-470
讨论了一类偶数阶中立型偏泛函微分方程系统在Robin边界条件下解的振动性,获得了所有解振动的若干充分条件,同时也给出了实际应用例子. 相似文献
14.
15.
N. Parhi 《Proceedings Mathematical Sciences》1996,106(2):169-176
In this paper, the oscillation of certain nonlinear neutral differential equations has been studied with the help of the oscillation
of associated linear neutral differential equations 相似文献
16.
Oscillation theorems for fourth‐order delay differential equations with a negative middle term 下载免费PDF全文
This paper deals with the oscillation of the fourth‐order linear delay differential equation with a negative middle term under the assumption that all solutions of the auxiliary third‐order differential equation are nonoscillatory. Examples are included to illustrate the importance of results obtained. 相似文献
17.
Sufficient conditions for the oscillation of forced super-linear second order differential equations with oscillatory potential 总被引:2,自引:0,他引:2
A. H. Nasr 《Proceedings of the American Mathematical Society》1998,126(1):123-125
In the case of oscillatory potentials, we give sufficient conditions for the oscillation of the forced super-linear equation
This answers a question raised by J. S. W. Wong. 18.
19.
二阶中立型微分方程的振动准则 总被引:1,自引:0,他引:1
陈若虹 《纯粹数学与应用数学》1999,15(4):82-87
研究了一类具有连续偏差变元的二阶非线性中立型方程,得到了该类方程的振动准则 相似文献
20.
James S. W. Wong 《Proceedings of the American Mathematical Society》1999,127(5):1387-1395
We prove nonoscillation theorems for the second order Emden-Fowler equation (E): , , where and . It is shown that when is nondecreasing for any and is bounded above, then (E) is nonoscillatory. This improves a well-known result of Belohorec in the sublinear case, i.e. when and .
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