共查询到20条相似文献,搜索用时 10 毫秒
1.
Oscillation criteria for a class of second-order neutral delay differential equations 总被引:1,自引:0,他引:1
B. Karpuz J.V. Manojlovi
.
calan Y. Shoukaku 《Applied mathematics and computation》2009,210(2):303-312
In this article, we investigate oscillation and asymptotic behaviour of all solutions of a class of neutral delay differential equations of second-order with several positive and negative coefficients having the formwhere R,P,Q are bounded beginning segments of positive integers, , , are delay functions and f is a continuous function. Our results improve and extend the recent results given in the papers [J. Manojlović, Y. Shoukaku, T. Tanigawa, N. Yoshida, Oscillation criteria for second-order differential equations with positive and negative coefficients, Appl. Math. Comput. 181 (2006) 853–863] and [A. Weng, J. Sun, Oscillation of second order delay differential equations, Appl. Math. Comput. 198 (2) (2008) 930–935]. 相似文献
2.
Xiaoping Wang 《Journal of Mathematical Analysis and Applications》2003,279(1):326-338
Sufficient conditions are established for the asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients
3.
Wan-Tong Li 《Applied Mathematics Letters》1997,10(6):101-106
Consider the first-order neutral nonlinear difference equation of the form , where τ > 0, σi ≥ 0 (i = 1, 2,…, m) are integers, {pn} and {qn} are nonnegative sequences. We obtain new criteria for the oscillation of the above equation without the restrictions Σn=0∞ qn = ∞ or Σn=0∞ nqn Σj=n∞ qj = ∞ commonly used in the literature. 相似文献
4.
Özkan Öcalan 《Journal of Mathematical Analysis and Applications》2007,331(1):644-654
In this paper, we provide oscillation properties of every solution of the neutral differential equation with positive and negative coefficients
[x(t)−R(t)x(t−r)]′+P(t)x(t−τ)−Q(t)x(t−σ)=0, 相似文献
5.
Qi-Ru Wang 《Applied Mathematics Letters》2002,15(8):1218-1033
This paper discusses a class of first-order neutral differential equations with variable coefficients and variable deviations. A series of sufficient conditions are established for all solutions of the equations to be oscillatory, and some of the conditions are sharp. 相似文献
6.
Jiqin Deng 《Journal of Mathematical Analysis and Applications》2002,271(1):283-287
In this paper, we obtain some oscillation criteria for the second-order linear differential equation x″(t)+p(t)x(t)=0. 相似文献
7.
In this paper the sufficient conditions for the existence of positive solutions of the neutral difference equations with positive and negative coefficients are established. The results improve some known conclusions in the literature 相似文献
8.
正负系数中立型差分方程的全局吸引性 总被引:1,自引:0,他引:1
A neutral difference equation with positive and negative coefficients△(xn-cnxn-k) pnxn-l-qnxn-r=0,n=0,1,2.…,is considered and a sufficient condition for the global attractivity of the zero solution of this equation is obtained, which improves and extends the all known results in the literature. 相似文献
9.
Xiaojing Yang 《Journal of Mathematical Analysis and Applications》2004,298(2):363-373
Some oscillation and nonoscillation criteria for quasilinear differential equations of second order are obtained. These results are extensions of earlier results of Huang (J. Math. Anal. Appl. 210 (1997) 712-723) and Elbert (J. Math. Anal. Appl. 226 (1998) 207-219). 相似文献
10.
Comparison criteria of positive solutions for a neutral difference equation with positive and negative coefficients 总被引:1,自引:0,他引:1
1.IntroductionInthispaper,weareconcernedwithaclassofneutraltypeflorenceequationswithpositiveandnegativecoefficielltsoftheformwhere',TandaarepositiveintegerssuchthatT2a){r'}:,isarealsequence3{p'}:,and{qn}Zoarenonnegativesequences.Similarequationshaver... 相似文献
11.
研究具有正负系数的中立型微分方程(x(t)-Cx(t-r)‘ px(t-τ)-qx(t-σ)=0,在允许C q(τ-σ)≤1不成立的条件下,建立了方程(*)的振动性准则。 相似文献
12.
In this paper, we consider the second-order nonlinear differential equation where σ > 0 is a constant, a C(R, (0, ∞)), q C(R, R), f C(R, R), xf(x) > 0, f′(x) ≥ 0 for x ≠ 0. Some new sufficient conditions for the oscillation of all solutions of (*) are obtained. Several examples which dwell upon the importance of our results are also included. 相似文献
[a(t)|y′(t)|σ−1y′(t)|′+q(t)f(y(t))=r(t)
13.
This paper investigates the existence of minimal and maximal solutions of the periodic boundary value problem for first-order impulsive differential equations by establishing two comparison results and using the method of upper and lower solutions and the monotone iterative technique. 相似文献
14.
Gani Stamov 《Applicable analysis》2013,92(1-2):45-56
Sufficirnt condition for the existence of almost periodic solutions of forced perturbed systems of impulsive differential equations with impulsive effect at fixed Moments are considered. 相似文献
15.
Oscillation criteria for delay equations 总被引:1,自引:0,他引:1
M. Kon Y. G. Sficas I. P. Stavroulakis 《Proceedings of the American Mathematical Society》2000,128(10):2989-2997
This paper is concerned with the oscillatory behavior of first-order delay differential equations of the form
(1) |
where is non-decreasing, for and . Let the numbers and be defined by
It is proved here that when and all solutions of Eq. (1) oscillate in several cases in which the condition
2k+\frac{2}{{\lambda}_{1}}-1 \end{displaymath}">
holds, where is the smaller root of the equation .
16.
In this paper, we deal with oscillatory and asymptotic properties of solutions of a fourth order sub-linear differential equation with the oscillatory operator. We establish conditions for the nonexistence of positive and bounded solutions and an oscillation criterion. 相似文献
17.
Existence of nonoscillatory solutions for system of fractional differential equations with positive and negative coefficients 下载免费PDF全文
Youjun Liu Huanhuan Zhao Huiqin Chen Shugui Kang 《Journal of Applied Analysis & Computation》2019,9(5):1940-1947
In this paper we consider the system of fractional differential equations with positive and negative coefficients. We use the $Banach$ contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions. 相似文献
18.
Consider the neutral delay differential equation [display math001] where [display math002] We studied the asymptotic behavior of the nonoscillatory solutions of Eq. (1) and we obtained sufficient conditions for the oscillation of all solutions, all bounded solutions, and all unbounded solutions of Eq. (1) 相似文献
19.
Oscillation criteria for second order forced ordinary differential equations with mixed nonlinearities 总被引:1,自引:0,他引:1
Yuan Gong Sun James S.W. Wong 《Journal of Mathematical Analysis and Applications》2007,334(1):549-560
We present new oscillation criteria for the second order forced ordinary differential equation with mixed nonlinearities:
20.
This paper is devoted to a class of linear impulsive partial difference equations with continuous variables. We establish a difference inequality without impulses, and use it to obtain various sufficient conditions for the oscillation of solutions. 相似文献