共查询到20条相似文献,搜索用时 15 毫秒
1.
二阶非线性泛函微分方程解的振动性质 总被引:1,自引:0,他引:1
研究了一类二阶非线性泛函微分方程解的振动性以及非振动解的有界性.在一定条件下,建立了几个新的振动性和有界性定理,其结果推广和改进了已有的一些结果. 相似文献
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In this paper, we are concerned with the oscillation of third order nonlinear delay differential equations of the form
(r2(t)(r1(t)y′)′)′+p(t)y′+q(t)f(y(g(t)))=0. 相似文献
4.
利用Riccati变换和辅助函数法,对一类偶数阶含阻尼项非线性时滞微分方程建立了判定其所有解振动的若干充分准则. 相似文献
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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
6.
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
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Oscillation criteria for odd‐order nonlinear delay differential equations with a middle term 下载免费PDF全文
S. R. Grace I. Jadlovská A. Zafer 《Mathematical Methods in the Applied Sciences》2017,40(14):5147-5160
The oscillation of solutions of the n th‐order delay differential equation was studied in [S. R. Grace and A. Zafer, Math. Meth. Appl. Sci. 2016, 39 1150–1158] when n is even and the n odd case has been referred to as an interesting open problem. In the present work, our primary aim is to address this situation. Our method of the proof that is quite different from the aforementioned study is essentially new. We introduce V n ?1‐type solutions and use comparisons with first‐order oscillatory and second‐order nonoscillatory equations. Examples are given to illustrate the main results. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
9.
Oscillation for systems of nonlinear neutral type parabolic partial functional differential equations 总被引:14,自引:0,他引:14
YANGJUN GUANXINPING 《高校应用数学学报(英文版)》1997,12(2):165-178
This paper discusses the oscillation of solutions for systems of nonlinear neutral type parabolic partial fuctional differential equations of the form 相似文献
10.
Zhaowen Zheng 《Acta Mathematica Hungarica》2006,110(3):241-252
Summary Using the integral average method, we give some new oscillation criteria for the second order differential equation with damped
term (a(t)Ψ(x(t))K(x'(t)))'+p(t)K(x'(t))+q(t)f(x(t))=0, t<span style='font-size:10.0pt; font-family:"Lucida Sans Unicode"'>≧t0. These results improve and generalize the oscillation criteria in<span lang=EN-US style='font-size:10.0pt;mso-ansi-language:EN-US'>[1],
because they eliminate both the differentiability of p(t) and the sign of p(t), q(t). As a consequence, improvements of Sobol's type oscillation criteria are obtained. 相似文献
11.
研究了一类二阶非线性阻尼微分方程解的振动性质.在一定条件下,建立了四个新的振动性定理,推广和改进了已知的结果. 相似文献
12.
In this paper, some new oscillation criteria are obtained for second order elliptic differential equations with damping of the form
13.
Qi‐Ru Wang 《Mathematische Nachrichten》2004,266(1):92-105
By employing the generalized Riccati technique and the integral averaging technique, new oscillation criteria are established for a class of second order matrix differential systems. These criteria extend, improve and unify a number of existing results and handle a number of cases not covered by known criteria. In particular, several interesting examples that illustrate the importance of our results are included. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
14.
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
15.
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
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Oscillation criteria for nth‐order nonlinear delay differential equations with a middle term 下载免费PDF全文
In this article, we establish some new criteria for the oscillation of nth‐order nonlinear delay differential equations of the form provided that the second‐order equation is either nonoscillatory or oscillatory. Examples are given to illustrate the results. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
17.
By using the positive linear functional and the monotone subhomogeneous functional, including the general means and Riccati technique, some new oscillation criteria are established for the second order linear matrix differential system
(P(t)X'(t))' + R(t)X'(t) + Q(t)X(t) =0, t ≥ to 〉 0
where P(t), R(t), Q(t) are n × n real continuous matrix functions, P(t) and R(t) are commutative. Theresults improve and generalize those given in some previous papers, which can be seen by the examples given at the end of this paper. 相似文献
(P(t)X'(t))' + R(t)X'(t) + Q(t)X(t) =0, t ≥ to 〉 0
where P(t), R(t), Q(t) are n × n real continuous matrix functions, P(t) and R(t) are commutative. Theresults improve and generalize those given in some previous papers, which can be seen by the examples given at the end of this paper. 相似文献
18.
E.M.E. Zayed M.A. El-Moneam 《数学物理学报(B辑英文版)》2007,27(3):602-610
The main objective of this article is to study the oscillatory behavior of the solutions of the following nonlinear functional differential equations (a(t)x'(t))' δ1p(t)x'(t) δ2q(t)f(x(g(t))) = 0,for 0 ≤ t0 ≤ t, where δ1 = ±1 and δ2 = ±1. The functions p,q,g : [t0, ∞) → R, f :R → R are continuous, a(t) > 0, p(t) ≥ 0,q(t) ≥ 0 for t ≥ t0, limt→∞ g(t) = ∞, and q is not identically zero on any subinterval of [t0, ∞). Moreover, the functions q(t),g(t), and a(t) are continuously differentiable. 相似文献
19.
We give constructive proof of the existence of vanishing at infinity oscillatory solutions for a second‐order perturbed nonlinear differential equation. In contrast to most results reported in the literature, we do not require oscillatory character of the associated unperturbed equation, monotonicity of nonlinearity, and we establish global existence of oscillatory solutions without assuming it a priori. Furthermore, as our example demonstrates, existence of bounded oscillatory solutions does not exclude existence of unbounded nonoscillatory solutions. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
20.
Xiaosong Tang 《Journal of Computational and Applied Mathematics》2010,233(9):2105-2111
This paper is concerned with second-order nonlinear delay differential equations with impulses of the form