共查询到20条相似文献,搜索用时 0 毫秒
1.
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
2.
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
3.
Oscillation criteria and asymptotic properties of solutions of third‐order nonlinear neutral differential equations
下载免费PDF全文
![点击此处可从《Mathematical Methods in the Applied Sciences》网站下载免费的PDF全文](/ch/ext_images/free.gif)
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.
X.H. Tang 《Journal of Mathematical Analysis and Applications》2006,322(2):864-872
In this paper, we proved that the odd order nonlinear neutral delay differential equation
[x(t)−p(t)g(x(t−τ))](n)+q(t)h(x(t−σ))=0 相似文献
5.
Summary We establish new comparison theorems on the oscillation of solutions of a class of perturbed half-linear differential equations.
These improve the work of Elbert and Schneider [6] in which connections are found between half-linear differential equations
and linear differential equations. Our comparison theorems are not of Sturm type or Hille--Wintner type which are very famous.
We can apply the main results in combination with Sturm's or Hille--Wintner's comparison theorem to a half-linear differential
equation of the general form (|x'|α-1x')' + a(t) |x|α-1x = 0. 相似文献
6.
Consider the forced higher-order nonlinear neutral functional differential equation
where n,m , 1 are integers, , i + = [0,), C,Q
i, g C([t
0,), ), fi C(, ), (i = 1, 2, ...;, m). Some sufficient conditions for the existence of a nonoscillatory solution of above equation are obtained for general Q
i(t) (i = 1, 2, ... ,m) and g(t) which means that we allow oscillatory Qi(t) (i = 1, 2, ... ,m) and g(t). Our results improve essentially some known results in the references.Project was supported by the Special Funds for Major State Basic Research Projects (G19990328) and Hunan Natural Science Foundation of P.R. China (10371103). 相似文献
7.
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 .
8.
S. H. Saker 《Acta Mathematica Hungarica》2003,100(1-2):37-62
We present new oscillation criteria for the second order nonlinear neutral delay differential equation [y(t)-py(t-τ)]'+ q(t)y
λ
(g(t)) sgn y(g(t)) = 0, t ≧ t
0. Our results solve an open problem posed by James S.W . Wong [24]. The relevance of our results becomes clear due to a carefully
selected example.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
9.
一类二阶中立型偏泛函微分方程组解的振动性 总被引:8,自引:2,他引:6
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
10.
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
11.
通过运用分析方法,对微分不等式进行估计,得到了一类偶数阶半线性微分方程解的振动性的若干判别准则.所得结果减弱了已有文献的条件,推广和改进了已有文献的结果. 相似文献
12.
In this paper, we prove that every solution of the first order nonlinear neutral differential equation
13.
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
14.
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
15.
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
16.
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
17.
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
18.
高阶中立型方程的强迫振动 总被引:13,自引:1,他引:12
林文贤 《纯粹数学与应用数学》2002,18(3):263-266
讨论了一类具有偏差变元的高阶中立型方程,给出了该类方程解振动的充分条件。 相似文献
19.
20.
This paper is concerned with a class of even order nonlinear damped differential equations
where n is even and t≥t
0. By using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which
are either extensions of or complementary to a number of existing results.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献