共查询到20条相似文献,搜索用时 31 毫秒
1.
二阶泛函微分方程的振动性质 总被引:5,自引:0,他引:5
在本文中,我们研究了一类较广泛的二阶非线性泛函微分方程的振动性质。文中指出,在一定条件下,方程的非振动解仅有两类,而且给出了每一类非振动解存在的必要条件,同时也建立了方程振动的若干充分判据。 相似文献
2.
高阶泛函微分方程的振动性质* 总被引:11,自引:0,他引:11
本文借助于Lebesgue测度等工具研究了一类高阶非线性泛函微分方程的振动性质.文中指出.在一定条件下,方程的非振动解仅有两类,而且给出了每一类非振动解存在的必要条件,同时也建立了方程振动的若干充分判据. 相似文献
3.
T. Candan 《Applied Mathematics Letters》2012,25(3):412-416
In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order nonlinear neutral differential equations. Our results include as special cases some well-known results for linear and nonlinear equations of first, second and higher order. We use the Banach contraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions. 相似文献
4.
1 IntroductionConsider the second order quasilinear difference equationA(g(Ay.--l)) + f(n,y.) = 0, for n E N(no), (l'l)where A is defined by Ay. = Vn+1--yn, n E N(no) = {no, no + 1,'' }, nO E N = {l, 2,'. }.The following hold throughout the paPer:(H0) (i) g: R-R is a continuous increasing fUnction with propertiessgng(y) = sgny) g(R) = R;(il) f: N(no) x R--+ R is continuous as a function of y E R;(iii) yf(n,y) > 0 for n E N and y / 0.By a solution of the equation (1.l) we mean a non… 相似文献
5.
讨论了中立型差分方程的非振动解.首先由非振动解的渐进性质把非振动解分成两类.其次分别给出存在这两类非振动解的充分条件.最后给出例子说明定理的应用. 相似文献
6.
给出了一类三阶非线性微分方程存在非振荡解的充分条件,使得Parhi准则更加一般化。在一些特殊情况下,这些结论适合于更弱的条件。 相似文献
7.
给出时标上一类带强迫项高阶中立型动力方程一切解振动和非振动解存在的若干充分条件.所得结果推广了一些已有的结论. 相似文献
8.
研究了下列二阶中立型差分方程Δ2[x(n)-px(n-τ)]+q(n)x(g(n))=0,n n0正解渐近趋向于零的充分条件. 相似文献
9.
In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order linear neutral differential equations with distributed deviating arguments. We use the Banach contraction principle to obtain new sufficient conditions, which are weaker than those known, for the existence of nonoscillatory solutions. 相似文献
10.
Lu Wudu 《数学学报(英文版)》1993,9(2):166-174
The main purpose of this paper is to study the existence of nonoscillatory solutions of the second order non-linear differential
equation (1). The author first generalizes a Wintner's lemma [1,8] to nonlinear equations (i.e. the following Theorem 1 and
4), and then obtains the necessary and sufficient conditions for the existence of nonoscillatory solutions of (1). These theorems
generalize the corresponding results of [1] to include nonlinear equations. Using the above results, the author further obtains
a series of criterion theorems for the existence of nonoscillatory solutions and comparison theorems for the oscillation and
nonoscillation of nonlinear equations. 相似文献
11.
OSCILLATION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH IMPULSES 总被引:2,自引:0,他引:2
OSCILLATIONANDASYMPTOTICBEHAVIOROFSOLUTIONSOFDELAYDIFFERENTIALEQUATIONSWITHIMPULSESShenJianhua(申建华)&WangZhicheng(王志成)(HunanUn... 相似文献
12.
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF A CLASS OF FIRST ORDER NEUTRAL DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY 总被引:1,自引:0,他引:1
冯月才 《Annals of Differential Equations》2004,20(1):37-40
The oscillatory and asymptotic behavior of a class of first order nonlinear neutral differential equation with piecewise constant delay and with diverse deviating arguments are considered. We prove that all solutions of the equation are nonoscillatory and give sufficient criteria for asymptotic behavior of nonoscillatory solutions of equation. 相似文献
13.
一类高阶非线性中立型差分方程组非振动解的存在性 总被引:1,自引:1,他引:0
贺铁山 《纯粹数学与应用数学》2006,22(2):232-237
研究了一类高阶非线性中立型差分方程组非振动解的存在性.利用Banach空间的压缩映象原理,获得了该方程组存在非振动解的充分条件. 相似文献
14.
Mauro Marini 《Journal of Mathematical Analysis and Applications》2004,295(2):459-472
The problem of oscillation of a second order nonlinear difference system is considered and conditions for oscillation are derived by means of a complete analysis of nonoscillatory solutions. The case of systems with deviating arguments is also analyzed, and the results are shown to significantly generalize some existing ones. 相似文献
15.
YIN Fu-qi LI Yong-kunl.Department of Mathematics Yunnan University Kunming China .Department of Mathematics Shanghai University Shanghai China. 《数学季刊》2004,19(1):30-34
By using some differential inequality, a second-order delay differential equation(r(t)x′(t))′ p(t)x(q(t)) = 0has been investigated and some necessary condition for this equation has a nonoscillatorysolution and some sufficient condition which ensures that all of the solutions of the aboveequation are oscillatory are obtained. 相似文献
16.
通过在有界连续函数集上构造压缩映射的方法,利用不动点理论定性地研究了一类n阶中立型微分系统非振动解的存在性,获得了这一类系统存在非振动解的充分条件. 相似文献
17.
18.
We consider a two-dimensional time scale system of first order dynamic equations and establish some necessary and sufficient conditions for the existence of nonoscillatory solutions for the system using Knaster fixed point theorem, the Schauder fixed point theorem and the Schauder–Tychonoff fixed point theorem. We also provide examples to underline the main results of this article. 相似文献
19.
In this paper, the qualitative behavior of solutions of the bobwhite quail pop-ulation modelwhere 0相似文献
20.
The asymptotic behavior of nonoscillatory solutions of the half-linear differential equation is studied. In particular, two Wronskian-type functions, which have some interesting properties, similar to the one of the Wronskian in the linear case, are given. Using these properties and suitable integral inequalities, the existence of the so-called intermediate solutions is examined and an open problem is solved. 相似文献