共查询到20条相似文献,搜索用时 0 毫秒
1.
We consider a certain type of second-order neutral delay differential systems and we establish two results concerning the oscillation of solutions after the system undergoes controlled abrupt perturbations (called impulses). As a matter of fact, some particular non-impulsive cases of the system are oscillatory already. Thus, we are interested in finding adequate impulse controls under which our system remains oscillatory. 相似文献
2.
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:
3.
Devrim Çakmak 《Journal of Mathematical Analysis and Applications》2003,278(2):562-576
In this paper, by using the method of general means, some new oscillation criteria for forced functional differential equations of the form
4.
Zhonghai Guo Xiaoliang Zhou Weigao Ge 《Journal of Mathematical Analysis and Applications》2011,381(1):187-201
In this paper, by arithmetic-geometric mean inequality and Riccati transformation, interval oscillation criteria are established for second-order forced impulsive differential equation with mixed nonlinearities of the form
5.
Oscillation criteria for a class of second-order Emden-Fowler delay dynamic equations on time scales
By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations
xΔΔ(t)+p(t)xγ(τ(t))=0 相似文献
6.
7.
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 .
8.
研究了二阶中立型广义Emden-Fowler方程(r(t)|z′(t)|~(α-1)z′(t))′+f(t,x[σ(t)])=0,t≥t_0的若干新的振动准则,其中z(t)=x(t)+p(t)x(τ(t)),f(t,x)sgnx≥q(t)|x|~β,α0,β0为实数,结果改进、推广和统一了最近文献中的一些熟知的结果,为证明我们结果的重要性,也给出了若干说明的例子. 相似文献
9.
Mariella Cecchi Zuzana Došlá Mauro Marini 《Central European Journal of Mathematics》2009,7(2):322-334
A characterization of oscillation and nonoscillation of the Emden-Fowler difference equation
is given, jointly with some asymptotic properties. The problem of the coexistence of all possible types of nonoscillatory
solutions is also considered and a comparison with recent analogous results, stated in the half-linear case, is made.
相似文献
10.
考虑下列二阶脉冲微分系统解的振动性{(r(t))(x′(t)σ)′ a(t)(x([t]))δ e(t)sgn x(t)=0,t≠n,t≥0,n∈Z ,x(n)=gn(x(n-)),x′(n)=hn(x′(n-)),t=n,n=1,2,…,其中s,d是任意给定的正奇数的商.借助脉冲微分不等式得到了保证上述系统所有有界解振动的若干充分条件,并给出例子说明定理的应用. 相似文献
11.
In this paper, we are concerned with the oscillations in a class of forced second-order differential equations with nonlinear damping terms. By using classical variational principle and averaging technique, several new interval oscillation criteria for the equations are established, which improve and extend some known results. Example is also given to illustrate the results. 相似文献
12.
In this paper, we are mainly concerned with oscillatory behaviour of solutions for a class of second order nonlinear neutral difference equations with continuous variable. Using an integral transformation, the Riccati transformation and iteration, some oscillation criteria are obtained. 相似文献
13.
Marek Galewski 《Applied mathematics and computation》2011,218(4):1247-1253
We investigate the dependence on parameters for the discrete boundary value problem connected with the Emden-Fowler equation. A variational method is used in order to obtain a general scheme allowing for investigating the dependence on parameters of discrete boundary value problems. 相似文献
14.
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
15.
16.
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)
17.
Chunyi Zhao 《Journal of Mathematical Analysis and Applications》2008,342(1):398-422
We consider the following anisotropic Emden-Fowler equation with a singular source
18.
Yong Zhou 《Journal of Mathematical Analysis and Applications》2005,303(2):365-375
New oscillation and nonoscillation theorems are obtained for the second order quasilinear difference equation
Δ(|Δxn−1|ρ−1Δxn−1)+pn|xn|ρ−1xn=0, 相似文献
19.
脉冲时滞抛物型方程解的振动性 总被引:31,自引:0,他引:31
本文研究了两类边界条件下有振动系数的脉冲时滞抛物型方程解的振动性,得到了若干解振动的判别准则。其结果即使用于有固定符号系数的方程,也显著地改进了已有的结果。 相似文献
20.
In this paper, oscillatory properties of all solutions for neutral type impulsive hyperbolic equations with several delays under the Robin boundary condition are investigated and several new sufficient conditions for oscillation are presented. 相似文献