共查询到20条相似文献,搜索用时 15 毫秒
1.
Yue-Loong CHANG Meng-Rong LI C.Jack YUE Yong-Shiuan LEE Tsung-Jui CHIANG-LIN 《数学物理学报(B辑英文版)》2018,(4)
In this article, we work with the ordinary equation u〞-n~(-q-1)u(n)~q= 0 and learn some interesting phenomena concerning the blow-up and the blow-up rate of solution to the equation. 相似文献
2.
Cheng Chonggao Yuan Minghao 《Annals of Differential Equations》2005,21(3):256-259
This paper studies a class of Hille equation. A formula for solutions of a class of Hille equation is given. Under some suitable conditions the oscillation and nonoscillation of a class of Hille equation are established. Our results generalize the known Hille's ones. 相似文献
3.
Yao Zhijian 《Annals of Differential Equations》2005,21(1):73-80
In this paper, a two-species nonautonomous competitive model with stage structure and harvesting is considered. Sufficient conditions for the existence, uniqueness, global attractivity of positive periodic solution and the existence, uniform asymptotic stability of almost periodic solution are obtained. 相似文献
4.
Xie Chaodong 《Annals of Differential Equations》2005,21(1):59-64
In this paper we consider the biharmonic equation (?) in a smooth bounded domain Ω (?) RN with boundary condition (?) where N ≥5, 1 < q < 2, λ>0 and 2= (2N)/(N-4). We prove the existence of λ such that for 0 < λ < λ the above problem has a positive solution. 相似文献
5.
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
6.
OSCILLATION AND GLOBAL ATTRACTIVITY OF IMPULSIVE PERIODIC DELAY RESPIRATORY DYNAMICS MODEL 总被引:4,自引:0,他引:4
S. H. SAKER 《数学年刊B辑(英文版)》2005,26(4):511-522
This paper studies the nonlinear delay impulsive respiratory dynamics model. The model describes the sudden changes of the concentration of CO2 in the blood of the mammal. It is proved that the model has a unique positive periodic solution. Some sufficient conditions for oscillation of all positive solutions about the positive periodic solution are established and also some sufficient conditions for the global attractivity of the periodic solution are obtained. 相似文献
7.
MaManjun TangHengsheng WangZhicheng 《高校应用数学学报(英文版)》2001,16(3):259-267
Abstract. The existence of positive solutions and the global attractivity of the difference equa-tion 相似文献
8.
EXISTENCEANDUNIQUENESSOFTHEENTROPYSOLUTIONTOANONLINEARHYPERBOLICEQUATION¥R.EYMARD;T.GALLOUET;R.HERBIN(LaboratoireCentraldesPo... 相似文献
9.
Xu Wenxiong Yin Hongwei Xu Zongben 《Annals of Differential Equations》2007,23(2):225-233
By monotone methods and invariant region theory,a reaction-diffusion equa- tions D-SIS epidemic model with bilinear rate is studied.The existence and uniqueness of the solution of the model are proved.The basic reproductive number which determines whether the disease is extinct or not is found.The globally asymptotical stability of the disease-free equilibrium and the endemic equilibrium are obtained.Some results of the ordinary differential equations model are extended to the present partial differential equations model. 相似文献
10.
Ni Hua 《Annals of Differential Equations》2007,23(3):312-318
In this paper,by using successive approximation method and fixed-point theorem,we discuss a class of infinite delay integral equation and obtain some sufficient conditions which guarantee the existence and uniqueness of the peri- odic and almost periodic solutions of the system. 相似文献
11.
Zhang Suping 《Annals of Differential Equations》2007,23(1):104-112
In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results of the existence of positive periodic solution about the equation are obtained. 相似文献
12.
Shen Shoufeng 《高校应用数学学报(英文版)》2007,22(2):207-212
Lie point symmetries associated with the new (2+1)-dimensional KdV equation ut + 3uxuy + uxxy = 0 are investigated. Some similarity reductions are derived by solving the corresponding characteristic equations. Painlevé analysis for this equation is also presented and the soliton solution is obtained directly from the Bǎcklund transformation. 相似文献
13.
ON INTERACTION OF SHOCK AND SOUND WAVE (I) 总被引:1,自引:1,他引:0
Chen Shuxing 《数学年刊B辑(英文版)》1996,17(1):35-42
This paper studies the interaction of shock and gradient wave (sound wave) of solutions to the system of inviscid isentropic gas dynamics as a model for the corresponding problems for nonlinear hyperbolic systems. The problem can be reduced to a boundary value problem in a wedged dormain, By using the method of constructing asymptotic solutions and Newton‘siteration process it is proved that if a weak shock hits a gradient wave, then the grandient wave will split into two gradient waves, while the shock continuses propagating. In this paper the author reduces the problem to a standard form and constructs asymptotic solution of the problem. The existence of the genuine solution will he given in the following paper. 相似文献
14.
Wang Youbin 《Annals of Differential Equations》2005,21(3):435-438
In this paper, we obtain some necessary and sufficient conditions for the oscillation of all positive solutions of a delay Logistic equation with continuous and piecewise constant arguments about the positive equilibrium. 相似文献
15.
1.IntroductionandResultsConsidernon-homogeneouslineardifferentialequationsoftheform1.Lameprovedin[7]TheoremA.LetB(z),PO(z),PI(z)*06epolynomialssuchthatdegB=n21,degPO=p<(n k)/kandH=PI(z)epo('),then(a)IfdegPI相似文献
16.
In this paper,we study a class of p(x)-biharmonic equations with Navier boundary condition.Using the mountain pass theorem,fountain theorem,local linking theorem and symmetric mountain pass theorem,we establish the existence of at least one solution and infinitely many solutions of this problem,respectively. 相似文献
17.
This paper undertakes a systematic treatment of the low regularity local wellposedness and ill-posedness theory in H^s and H^s for semilinear wave equations with polynomial nonlinearity in u and δu. This ill-posed result concerns the focusing type equations with nonlinearity on u and δtu. 相似文献
18.
The authors study a resonant Klein-Gordon system with convenient nonlinearities in two space dimensions, prove that such a system has global solutions for small, smooth, compactly supported Cauchy data, and find that the asymptotic profile of the solution is quite different from that of the free solution. 相似文献
19.
20.
Huang Zhaobo 《数学年刊B辑(英文版)》1995,16(3):391-398
ONTHECLASSIFICATIONOFAF-ALGEBRASANDTHEIRDIMENSIONGROUPS(Ⅱ)¥HUANGZHAOBOAbstract:Thispaperisacontinuationof[1].Itgivessomeappli... 相似文献