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 共查询到20条相似文献,搜索用时 125 毫秒
1.
THE NON-EXISTENCE OF PERIODIC SOLUTIONS OF A CERTAIN CLASS OF N-TH ORDER DIFFERENTIAL EQUATIONSTHENON-EXISTENCEOFPERIODICSOLU...  相似文献   

2.
ONTHEEXISTENCEANDUNIQUENESSTHEOREMSOFSOLUTIONSFORACLASSOFTHESYSTEMSOFMIXEDMONOTONEOPERATOREQUATIONSWITHAPPLICATIONSHENPEILONG...  相似文献   

3.
NONNULLDISTRIBUTIONOFTHELIKELIHOODRATIOCRITERIONFORTESTINGTHEEQUALITYOFDIAGONALBLOCKSWITHBLOCKWISEINDEPENDENCEA.K.Gupta;C.C.C...  相似文献   

4.
THE REAL CUBE DIFFERENTIAL SYSTEM WITH THREE REAL STRAIGHT LINE SOLUTIONS AND TWO CONJUGATE COMPLEX STRAIGHT LINE SOLUTIONSTH...  相似文献   

5.
THEAPPROXIMATIONTHEOREMOFSTOCHASTICDIFFERENTIALEQUATIONSINTHEPLANELongHongwei(龙红卫)(InstituteofMathematicalSciences,Chin.Acad....  相似文献   

6.
ONEXISTENCE,UNIQUENESSANDREGULARITYOFSTEADYSTATESOLUTIONSTOTHEBASICSEMICONDUCTOREQUATIONSWangYuanming(王元明)FanJishan(樊继山)(Dept...  相似文献   

7.
THEEXISTENCEANDUNIQUENESSANDSTABILITYOFALMOSTPERIODICSOLUTIONSFORFUNCTIONALDIFFERENTIALEQUATIONSWITHINFINITEDELAYSWANGQUANHNY...  相似文献   

8.
APPROXIMATEINERTIALMANIFOLDSTOTHENAVIER-STOKESEQUATIONS王碧祥兰州大学,邮编:730000APPROXIMATEINERTIALMANIFOLDSTOTHENAVIER-STOKESEQUATIO...  相似文献   

9.
THEKTHEORYANDTHECLASSIFICATIONOFTHEIRRATIONALROTATIONGROUPOIDCALGEBRASYANSHAOZONGCHENXIAOMANXUSHENGZHIAbstractTheauthor...  相似文献   

10.
THE ERRORS ESTIMATION OF THE CHEBYSHEV SPECTRAL-DIFFERENCE METHOD FOR TWO-DIMENSIONAL VORTICITY EQUATIONTHEERRORSESTIMATIONOF...  相似文献   

11.
吕涛 《数学学报》1979,22(2):156-169
<正> 伽辽金方法的重要性已为工程数学界所公认.有关它的收敛性的讨论,亦有大量文献与专著.但从算子方程的角度来看,所加的条件还很苛刻.本文则在较一般的条件下给出了伽辽金方法收敛性的一系列判别准则.我们相信,这些结果对于实际应用将是有益的.  相似文献   

12.
In this paper, we show that, for the three dimensional incompressible magnetohydro-dynamic equations, there exists only trivial backward self-similar solution in L^p(R^3) for p ≥ 3, under some smallness assumption on either the kinetic energy of the self-similar solution related to the velocity field, or the magnetic field. Second, we construct a class of global unique forward self-similar solutions to the three-dimensional MHD equations with small initial data in some sense, being homogeneous of degree -1 and belonging to some Besov space, or the Lorentz space or pseudo-measure space, as motivated by the work in [5].  相似文献   

13.
The subject of the paper is to find existence conditions of weak solutions to multivalued stochastic differential equations with discontinuous coefficients. First we prove that a non-exploding solution exists when the drift coefficient b satisfies linear growth and the diffusion coefficient σ is uniformly elliptic. On this basis, we continue to obtain a solution (up to the explosion time) in the weak sense under certain local integrability, improving the result of Rozkosz and S?omiński.  相似文献   

14.
We consider a mathematical model for an incompressible Newtonian fluid with intrinsic degrees of freedom in a smooth bounded domain. We first show that there exists a unique local strong solution for large initial data. Then, we prove that the local strong solution is indeed global provided that the initial data is sufficiently small. Furthermore, we prove that when the strong solution exists, all the global weak solutions constructed by Lions must be equal to the unique strong solution with the same initial data.  相似文献   

15.
In view of the possibility that the 3D Navier-Stokes equations (NSE) might not always have regular solutions, we introduce an abstract framework for studying the asymptotic behavior of multi-valued dissipative evolutionary systems with respect to two topologies—weak and strong. Each such system possesses a global attractor in the weak topology, but not necessarily in the strong. In case the latter exists and is weakly closed, it coincides with the weak global attractor. We give a sufficient condition for the existence of the strong global attractor, which is verified for the 3D NSE when all solutions on the weak global attractor are strongly continuous. We also introduce and study a two-parameter family of models for the Navier-Stokes equations, with similar properties and open problems. These models always possess weak global attractors, but on some of them every solution blows up (in a norm stronger than the standard energy one) in finite time.  相似文献   

16.
稳定性理论中的微分方程与微分差分方程的等价性问题   总被引:1,自引:0,他引:1  
秦元勋  刘永清  王联 《数学学报》1959,9(3):333-363
<正> §1.问题与方法 在[1]中提出了等价性问题,并对于 n=1 的情形作了系统的解决.本文是处理一般 n 的情形.问题是研究微分方程组与微分差分方程组之间在稳定性部题中的等价性.此地 a_(ij)及b_(ij)等均为已给常数;τ_(ij)(t)或为非负的实常  相似文献   

17.
研究具有阻尼的半线性波动方程的初边值问题u_(tt)-△u+βu_t=|u|~(p-1)u,x∈Ω,t>0u(x,0)=u_0(x),u_t(x,0)=u_1(x),x∈Ωu|_((?)Ω)=0,t≥0其中γ为正常数,Ω■R~n为有界域,当n≥3时,1相似文献   

18.
稳定性理论中微分方程与微分差分方程的等价性问题   总被引:1,自引:0,他引:1  
秦元勋 《数学学报》1958,8(4):457-472
<正> §1.问题的提出任取一最简单的开式控制系统如图1.  相似文献   

19.
In this paper, the author studies the Laplace operator on the quaternionic Heisenberg group, construct a fundamental solution for it and use this solution to prove the Lp-boundedness and the weak (1-1) boundedness of certain singular convolution operators on the quaternionic Heisenberg group.  相似文献   

20.
In this paper, we show there exists a weak solution to the 3-D inhomogeneous incompressible Navier–Stokes equations satisfying in addition the local energy inequality. The same result in the homogeneous incompressible case was described in [1, Theorem 3.2].  相似文献   

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