期刊文献+
共找到82篇文章
< 1 2 5 >
每页显示 20 50 100
Oscillatory and Asymptotic Behavior of Solutions of Second Order Neutral Delay Difference Equations with “Maxima”
1
作者 Ramalingam Arul Manvel Angayarkanni 《Advances in Pure Mathematics》 2015年第2期71-81,共11页
In this paper, we study the oscillatory and asymptotic behavior of second order neutral delay difference equation with “maxima” of the form? Examples are given to illustrate the main result.
关键词 Second Order OSCILLATORY asymptotic behavior neutral delay difference equationS with “Maxima”
下载PDF
THE ASYMPTOTIC BEHAVIOR AND OSCILLATION FOR A CLASS OF THIRD-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS
2
作者 黄先勇 邓勋环 王其如 《Acta Mathematica Scientia》 SCIE CSCD 2024年第3期925-946,共22页
In this paper,we consider a class of third-order nonlinear delay dynamic equations.First,we establish a Kiguradze-type lemma and some useful estimates.Second,we give a sufficient and necessary condition for the existe... In this paper,we consider a class of third-order nonlinear delay dynamic equations.First,we establish a Kiguradze-type lemma and some useful estimates.Second,we give a sufficient and necessary condition for the existence of eventually positive solutions having upper bounds and tending to zero.Third,we obtain new oscillation criteria by employing the Potzsche chain rule.Then,using the generalized Riccati transformation technique and averaging method,we establish the Philos-type oscillation criteria.Surprisingly,the integral value of the Philos-type oscillation criteria,which guarantees that all unbounded solutions oscillate,is greater than θ_(4)(t_(1),T).The results of Theorem 3.5 and Remark 3.6 are novel.Finally,we offer four examples to illustrate our results. 展开更多
关键词 nonlinear delay dynamic equations NONoscillation asymptotic behavior Philostype oscillation criteria generalized Riccati transformation
下载PDF
Oscillatory and Asymptotic Behavior of Nonlinear Neutral Difference Equations
3
作者 杨军 关新平 李容录 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1999年第1期19-23,共5页
Consider the second Order nonlinear neutral difference equation for n≥n0 The sufficient conditions are obtained for the oscillatory and asymptotic behavior of the solutions of this equation.
关键词 Nonlinear neutral difference equation oscillation asymptotic behavior
下载PDF
Oscillatory and asymptotic behavior of higher order neutral difference equations
4
作者 杨军 关新平 李容录 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2000年第1期69-73,共5页
A class of higher order neutral difference equations is considered and some sufficient conditions are obtained for all solutions to oscillate or tend to zero.
关键词 neutral difference equation oscillation asymptotic behavior OSCILLATORY SOLUTION positive SOLUTION
下载PDF
Oscillatory and Asymptotic Behavior for Second Order Quasilinear Difference Equations
5
作者 将建初 李小平 《Northeastern Mathematical Journal》 CSCD 2001年第3期315-322,共8页
This paper is concerned with the oscillatory (and nonoscillatory) behavior of solutions of second oder quasilinear difference equations of the type Some necessary and sufficient conditions are given for the equation t... This paper is concerned with the oscillatory (and nonoscillatory) behavior of solutions of second oder quasilinear difference equations of the type Some necessary and sufficient conditions are given for the equation to admit oscillatory and nonoscillatory solutions with special asymptotic properties. These results generalize and improve some known results. 展开更多
关键词 quasilinear difference equation oscillation and nonoscillation asymptotic behavior
下载PDF
Asymptotic Behavior and Nonexistence of Positive Solutions of Delay Difference Equations *L
6
作者 彭名书 徐千里 《Journal of Beijing Institute of Technology》 EI CAS 1999年第1期25-30,共6页
Aim To obtain new criteria for asymptotic behavior and nonexistence of positive solutions of nonlinear neutral delay difference equations. Methods By means of Hlder inequality and a method of direct analysis, some i... Aim To obtain new criteria for asymptotic behavior and nonexistence of positive solutions of nonlinear neutral delay difference equations. Methods By means of Hlder inequality and a method of direct analysis, some interesting Lemmas were offered. Results and Conclusion New criteria for asymptotic behavior and nonexistence of positive solutions of nonlinear neutral delay difference equations are established, which extend and improve the results obtained in the literature. Some interesting examples illustrating the importance of our results are also included. 展开更多
关键词 oscillation asymptotic behavior positive solution neutral delay difference equation NONLINEARITY
下载PDF
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF A CLASS OF FIRST ORDER NEUTRAL DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY 被引量:1
7
作者 冯月才 《Annals of Differential Equations》 2004年第1期37-40,共4页
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 ... 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. 展开更多
关键词 piecewise constant delay neutral differenital equation nonos-cillatory solution asymptotic behavior
原文传递
Asymptotic Behavior and Oscillation for Forced Odd Order Neutral Differential Equations
8
作者 陶有山 高国柱 《Journal of China Textile University(English Edition)》 EI CAS 2000年第3期80-83,共4页
Consider the forced odd order neutral differential equations of the
关键词 asymptotic behavior oscillation FORCED neutral Differential equations .
下载PDF
Oscillation of Second-Order Half-Linear Neutral Advanced Differential Equations
9
作者 Shan Shi Zhenlai Han 《Communications on Applied Mathematics and Computation》 2021年第3期497-508,共12页
The purpose of this paper is to study the oscillation of second-order half-linear neutral differential equations with advanced argument of the form(r(t)((y(t)+p(t)y(τ(t)))')^(α))'+q(t)yα(σ(t))=0,t≥t_(0),w... The purpose of this paper is to study the oscillation of second-order half-linear neutral differential equations with advanced argument of the form(r(t)((y(t)+p(t)y(τ(t)))')^(α))'+q(t)yα(σ(t))=0,t≥t_(0),when∫^(∞)r^(−1/α)(s)ds<∞.We obtain sufficient conditions for the oscillation of the studied equations by the inequality principle and the Riccati transformation.An example is provided to illustrate the results. 展开更多
关键词 oscillation theory Second-order differential equations neutral Advanced argument asymptotic behavior
下载PDF
ASYMPTOTIC AND OSCILLATORY BEHAVIOR OF NTH ORDER NEUTRAL DIFFERENCE EQUATION WITH FORCED TERM
10
作者 关新平 杨军 荣庆浩 《Annals of Differential Equations》 1998年第2期45-,47+49+51+46+48+50,共7页
A class of neutral type higher order difference equations is considered. Some sufficient conditions of oscillation and asymptotic behavior of solutions is given.
关键词 neutral difference equation oscillation and asymptotic behavior positive solution
全文增补中
ASYMPTOTIC BEHAVIOR AND EXISTENCE OF POSITIVE SOLUTIONS FOR A NEUTRAL DIFFERENCE EQUATION 被引量:2
11
作者 戴斌祥 黄立宏 《Annals of Differential Equations》 1998年第1期24-30,共7页
In this paper, we consider the neutral difference equation△(x n-cx n-m )+p nx n-k =0, n=N, N+1, N+2, …,where c and p n are real numbers, k, m are positive integers with m<k, and △ den... In this paper, we consider the neutral difference equation△(x n-cx n-m )+p nx n-k =0, n=N, N+1, N+2, …,where c and p n are real numbers, k, m are positive integers with m<k, and △ denotes the forward difference operator: △ u n=u n+1 -u n. By using the Krasnoselskii fixed theorem, we obtain some sufficient conditions under which such an equation has a bounded and eventually positive solution which tends to zero as n→∞. 展开更多
关键词 neutral difference equation positive solution existence asymptotic behavior
原文传递
ASYMPTOTIC BEHAVIOR AND OSCILLATIONS OF SECOND ORDER DIFFERENCE EQUATIONS WITH DELAY DEPENDING ON THE UNKNOWN FUNCTION 被引量:1
12
作者 罗交晚 井竹君 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2001年第3期398-406,共9页
The asymptotic behavior of the nonoscillatory solutions of the difference equations △[r(n)△x(n)]+f(n,x(n),x(r(n,x(n))))=0 is considered. In the case when f is a strongly sublinear (superlinear) function, conditions ... The asymptotic behavior of the nonoscillatory solutions of the difference equations △[r(n)△x(n)]+f(n,x(n),x(r(n,x(n))))=0 is considered. In the case when f is a strongly sublinear (superlinear) function, conditions for oscillations of (1) are also found. 展开更多
关键词 difference equation of second order asymptotic behavior delay depending on the unknown function
全文增补中
Asymptotic Behavior of Second Order Neutral Difference Equations with Maxima 被引量:3
13
作者 Ethiraju Thandapani 刘召爽 +1 位作者 李巧銮 Sebastian Elizabeth 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第2期191-198,共8页
The authors consider the following second order neutral difference equation with maxima △(αn△(yn+pnyn-k))-qn max [n-l,n]ys=0,n=0,1,2,…,(*)where {αn}, {pn} and (qn} are sequences of real numbers, and k an... The authors consider the following second order neutral difference equation with maxima △(αn△(yn+pnyn-k))-qn max [n-l,n]ys=0,n=0,1,2,…,(*)where {αn}, {pn} and (qn} are sequences of real numbers, and k and l are integers with k ≥ 1 and l 〉 0. And the asymptotic behavior of nonoscillatory solutions of (*). An example is given to show the difference between the equations with and without "maxima" is studied. 展开更多
关键词 asymptotic behavior NONoscillation neutral difference equation maxima.
下载PDF
OSCILLATION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH IMPULSES 被引量:10
14
作者 申建华 王志成 《Annals of Differential Equations》 1994年第1期61-68,共8页
Sufficient conditions are obtained respectively for tending to zero of the nonoscillatory solutions of equation with impulses and for tending to infinite of every nonoscillatory solution. Conditions are also obtained ... Sufficient conditions are obtained respectively for tending to zero of the nonoscillatory solutions of equation with impulses and for tending to infinite of every nonoscillatory solution. Conditions are also obtained for all solutions to be oscillatory when the equation is of oscillating coefficients. 展开更多
关键词 and phrases:Impulses delay differential equations oscillation asymptotic behavior
原文传递
ASYMPTOTIC BEHAVIOR OFNONOSCILLATORY SOLUTIONS OF SECOND ORDER NEUTRAL NONLINEAR DIFFERENCE EQUATIONS 被引量:1
15
作者 赵柱 李万同 《Annals of Differential Equations》 1999年第4期453-459,共7页
This paper is concerned with the study of asymptotic behavior of nonoscillatory solutions of second order neutral nonlinear difference equations of theformwhere λ∈ {-1,1},△ is the forword difference operator define... This paper is concerned with the study of asymptotic behavior of nonoscillatory solutions of second order neutral nonlinear difference equations of theformwhere λ∈ {-1,1},△ is the forword difference operator defined by △x_n=x_n+1 x+n. 展开更多
关键词 neutral nonlinear difference equation asymptotic behavior nonoscillatory solutions
原文传递
OSCILLATION CRITERIA FOR SECOND ORDER NEUTRAL DIFFERENCE EQUATIONS
16
作者 罗文晚 何振挺 陈海波 《Annals of Differential Equations》 1998年第2期164-168,共5页
By using the Riccati transformation and the Cauchy mean inequality, we shall derive some oscillatory criteria for the second order neutral delay difference equationΔ [a nΔ (x n+p nx g(n) )]+q nf(x σ(n) ... By using the Riccati transformation and the Cauchy mean inequality, we shall derive some oscillatory criteria for the second order neutral delay difference equationΔ [a nΔ (x n+p nx g(n) )]+q nf(x σ(n) )=0. These results generalize and improve some known results about both neutral and delay difference equations. 展开更多
关键词 nonlinear neutral delay difference equation oscillation.
原文传递
ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS 被引量:3
17
作者 张正球 王志成 《Annals of Differential Equations》 2001年第3期295-305,共11页
In this paper neutral delay differential equations of the form are considered. Some sufficient conditions by which every solution of (1) tends to zero as are established.
关键词 neutral equations asymptotic behavior delay
原文传递
ASYMPTOTICS AND OSCILLATION FOR FIRST ORDER MIXED NEUTRAL DIFFERENTIAL EQUATIONS 被引量:2
18
作者 程世辉 王其如 《Annals of Differential Equations》 2000年第2期111-122,共12页
Consider the first order neutral equations with variable coefficients and several deviations of the form The asymptotic behavior of nonoscillatory solutions of the equations is discussed.Necessary and sufficient condi... Consider the first order neutral equations with variable coefficients and several deviations of the form The asymptotic behavior of nonoscillatory solutions of the equations is discussed.Necessary and sufficient conditions and several sufficient conditions are obtained for aIl solutions of the equations to be oscillatory. 展开更多
关键词 neutral equation asymptotic behavior oscillation
原文传递
On a Delay Reaction-Diffusion Difference Equation of Neutral Type
19
作者 Bao SHI Department of Basic Sciences, Naval Aeronautical Engineering Academy. Yantai 264001. P. R. China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第4期755-764,共10页
In this paper, we first consider a delay difference equation of neutral type of the form: Δ(y_n+py_(n-k))+q_ny_(n-)=0 for n∈Z^+(0) (1*) and give a different condition from that of Yu and Wang (Funkcial Ekvac, 1994,... In this paper, we first consider a delay difference equation of neutral type of the form: Δ(y_n+py_(n-k))+q_ny_(n-)=0 for n∈Z^+(0) (1*) and give a different condition from that of Yu and Wang (Funkcial Ekvac, 1994, 37(2): 241 248) to guarantee that every non-oscillatory solution of (1~*) with p=1 tends to zero as n→∞ Moreover, we consider a delay reaction-diffusion difference equation of neutral type of the form: Δ_1(u_(n,m)+pu_(n-k,m)+q_(n,m)u_(n-m)=a^2Δ_2~2u_(n+1,m-1) for (n,m)∈Z^+(0)×Ω. (2*) study various casks of p in the neutral term and obtain that if p≥-1 then every non-oscillatory solution of (2~*) tends uniformly in m∈Ω to zero as n→∞: if p=-1 then every solution of (2~*) oscillates and if p<-1 then every non-oscillatory solution of (2~*) goes uniformly in m∈Ω to infinity or minus infinity as n→∞ under some hypotheses. 展开更多
关键词 delay reaction-diffusion difference equations Nentral type asymptotic behavior oscillation
原文传递
ASYMPTOTIC BEHMIOR OF MTH ORDER NEUTRAL DIFFERENCE EQUATION WITH FORCED TERM
20
作者 蒋建初 《Annals of Differential Equations》 2000年第4期330-336,共7页
A class of neutral type higher order difference equations is considered. Some sufficient conditions of asymptotic behavior of solutions is given.
关键词 neutral difference equation asymptotic behavior nonoscillatory solution
原文传递
上一页 1 2 5 下一页 到第
使用帮助 返回顶部