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1.
ONTWOCONJECTURESOFTHEQUADRATICDIFFERENTIALSYSTEMSZHANGXIANG*AbstractManuscriptreceivedSeptember29,1995.*InstituteofMathematic...  相似文献   

2.
INITIALVALUEPROBLEMSFORSECONDORDERIMPULSIVEINTEGRO┐DIFFERENTIALEQUATIONSINBANACHSPACES**GUODAJUN*AbstractManuscriptreceivedJu...  相似文献   

3.
ONINTERIORPOINTSOFTHEJULIASETJ(R)FORRANDOMDYNAMICALSYSTEMR**GONGZHIMIN*RENGUYAO*AbstractManuscriptreceivedNovember29,1994.*In...  相似文献   

4.
ONTHEUPPERESTIMATESOFFUNDAMENTALSOLUTIONSOFPARABOLICEQUATIONSONRIEMANNIANMANIFOLDS¥LIJIAYU;SHAOXIN(DepartmelltofMathematics,A...  相似文献   

5.
UNIFORMSTABILITYANDASYMPTOTICBEHAVIOROFSOLUTIONSOF2-DIMENSIONALMAGNETOHYDRODYNAMICSEQUATIONSZHANGLINGHAIManuscriptreceivedJu...  相似文献   

6.
AGLOBALALGORITHMINTHENUMERICALRESOLUTIONOFTHEVISCOUS/INVISCIDCOUPLEDPROBLEMXUCHUANJUMADAY,Y.ManuscriptreceivedOctober17,19...  相似文献   

7.
STABILITYOFGLOBALGEVREYSOLUTIONTOWEAKLYHYPERBOLICEQUATIONSM.REISSIGK.YAGDJIANManuscriptreceivedNovember14,1994.FacultyofM...  相似文献   

8.
LIMITSETSOFACLASSOFFOUR-DIMENSIONALCOMPETITIVESYSTEMSRuanJiancheng(阮建成)(JinanUniversity)Abstract:A.J.Schwartz[9]studiedC2dyna...  相似文献   

9.
ESSENTIALLYNORMAL+SMALLCOMPAC=STRONGLYIRREDUCIBLEJIJOUQING*JANGCHUNLAN*WANGZONGYAO**AbstractGivenanessentialynormaloperatorTw...  相似文献   

10.
TOPOLOGICALCLASSIFICATIONOFNONAUTONOMOUSLINEARSYSTEMSShiJinlin(史金麟)(FuzhouUniversity,福州大学,邮编:350002)Abstract:Topologicalclass...  相似文献   

11.
A new second-order nonlinear neutral delay differential equation r(t) x(t) + P(t)x(t-τ) + cr(t) x(t)-x(t-τ) + F t,x(t-σ1),x(t-σ2),...,x(t-σn) = G(t),t ≥ t0,where τ 0,σ1,σ2,...,σn ≥ 0,P,r ∈ C([t0,+∞),R),F ∈ C([t0,+∞)×Rn,R),G ∈ C([t0,+∞),R) and c is a constant,is studied in this paper,and some sufficient conditions for existence of nonoscillatory solutions for this equation are established and expatiated through five theorems according to the range of value of function P(t).Two examples are presented to illustrate that our works are proper generalizations of the other corresponding results.Furthermore,our results omit the restriction of Q1(t) dominating Q2(t)(See condition C in the text).  相似文献   

12.
带一类时滞项的生物种群扩散模型的行波解   总被引:1,自引:0,他引:1  
本文利用Schauder不动点理论证明了微分积分方程组行波解u(x,t)=U(z),w(x,t)=W(z),z=xγ-ct的存在性.这个方程组描述了一类在植物上繁殖,且靠飞行在空中扩散的生物种群扩散过程.特别当时滞项,中积分核K(t)(反映种群繁殖模式)属于L1(0,∞)时,本文得到极限值W(-∞)(表示最终植物上种群密度)小于M.这个结论较符合生物实际.  相似文献   

13.
该文研究具有正负系数的非线性中立型脉冲时滞微分方程获得了该方程的每一个解当t→∞时趋于一个常数的充分条件.  相似文献   

14.
The authors establish sufficient conditions for the oscillation of all solution of neutral delay differential equations of even and odd order of the form $$\[\frac{{{d^n}}}{{d{t^n}}}[y(t) + p(t)y(t - \tau )] + Q(t)y(t - C) = 0,t \ge {t_0},\]$$ where $\[P,Q \in C[[{t_0},\infty ),R],\tau ,\sigma \in {R^ + }\]$ and $\[n \ge 1\]$.  相似文献   

15.
研究了一阶线性时超微分不等式x'(t)-p(t)x(t r)≥0正解的不存在性,其中p(t)∈C([t_0,∞),[0,∞)),T∈R~ 。  相似文献   

16.
二阶线性中立时滞方程非振动解的存在性   总被引:3,自引:0,他引:3  
考虑具有正负系数的中立时滞微分方程这里P∈R和τ∈(0,∞),σ1,σ2∈[0,∞)且Q1,Q2∈C([t0,∞),R+).对于上面方程非振动解的存在性,得到一个用,∫sQids <∞,i=1,2,来表达的充分条件。这个结果去掉了M.R.S.Kulenovic和S.Hadziomerspahic文中一个相当强的假设,改进了其中的相关定理.  相似文献   

17.
本文我们考虑如下二阶奇异差分边值问题\begin{equation*}\begin{cases}-\Delta^{2} u(t-1)=\lambda g(t)f(u) ,\ t\in [1,T]_\mathbb{Z},\\u(0)=0,\\ \Delta u(T)+c(u(T+1))u(T+1)=0,\end{cases}\end{equation*}正解的存在性. 其中, $\lambda>0$, $f:(0,\infty)\rightarrow \mathbb{R}$ 是连续的,且允许在~$0$ 处奇异.通过引入一个新的全连续算子, 我们建立正解的存在性.  相似文献   

18.
In this paper, we study the existence of nodal solutions for the following problem:-(φ_p(x′))′= α(t)φ_p(x~+) + β(t)φ_p(x~-) + ra(t)f(x), 0 t 1,x(0) = x(1) = 0,where φ_p(s) = |s|~(p-2)s, a ∈ C([0, 1],(0, ∞)), x~+= max{x, 0}, x~-=- min{x, 0}, α(t), β(t) ∈C[0, 1]; f ∈ C(R, R), sf(s) 0 for s ≠ 0, and f_0, f_∞∈(0, ∞), where f_0 = lim_|s|→0f(s)/φ_p(s), f_∞ = lim|s|→+∞f(s)/φ_p(s).We use bifurcation techniques and the approximation of connected components to prove our main results.  相似文献   

19.
In this paper,the authors obtain the existence of one-signed periodic solutions of the first-order functional difference equation ?u(n) = a(n)u(n)-λb(n)f(u(n-τ(n))),n ∈ Z by using global bifurcation techniques,where a,b:Z → [0,∞) are T-periodic functions with ∑T n=1 a(n) 0,∑T n=1 b(n) 0;τ:Z → Z is T-periodic function,λ 0 is a parameter;f ∈ C(R,R) and there exist two constants s_2 0 s_1 such that f(s_2) = f(0) = f(s_1) = 0,f(s) 0 for s ∈(0,s_1) ∪(s_1,∞),and f(s) 0 for s ∈(-∞,s_2) ∪(s_2,0).  相似文献   

20.
The higher order neutral functional differential equation
is considered under the following conditions: is strictly increasing in is nonnegative on and nondecreasing in . A necessary and sufficient condition is derived for the existence of certain positive solutions of (1).  相似文献   

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