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41.
IntroductionThispaperdiscussesaclassofnonlinearboundaryvalueproblems (BVP)forthesecond_orderE2 classellipticsystemsingeneralform ,whichareofgreatimportanceinmathematicalsciencesandengineering ,andattractmoreandmoreinterestsfrommanyresearchersdomesticandabroad .ThesenonlinearBVPwerefirstintroducedbyRussianresearcher,L .V .Wolfersdorf,whereaclassofnonlinearBVPforholomorphicfunctionswasstudiedandsomeefficientresultsderived[1,2 ].LaterSigridKenchtandAliSeifMashimba[3],R .P .Gilbertandthea… 相似文献
42.
横向磁场激励下铁磁梁式板的混沌运动分析 总被引:9,自引:0,他引:9
在磁体力分布的磁弹性理论模型和磁场准静态假定模式基础上,对于处在周期时变磁场 中的不可移简支铁磁梁式板非线性磁弹性动力特性进行定性与定量分析.首先利用磁场的摄 动技术和结构变形的模态法,导出了关于模态坐标的非线性动力方程;然后利用Melnikov方 法,从理论上给出这一磁弹性动力系统可能出现混沌运动的必要条件及参数范围;最后采用变 步长Runge-Kutta数值积分方法对其磁弹性相互作用的混沌现象进行了定量搜索与模拟,并 利用其轨迹的Poincare截面图与Liapunov指数加以判断.结果表明磁弹性简支梁式板在横 向周期时变磁场中存在混沌吸引子,且在机械阻尼很小时其混沌吸引子表现出稠的特性. 相似文献
43.
A new system of vector quasi-equilibrium problems is introduced and its existence of solution is proved. As applications, some existence results of weak Pareto equilibrium for both constrained multicriteria games and multicriteria games without constrained correspondences are also shown. 相似文献
44.
A nonlinear nonlocal model arising from synaptically coupled neuronal networks with two integral terms is considered. The existence and stability of several traveling wave solutions are established by using ideas in differential equations and functional analysis. Steady-state solutions of some inhomogeneous integral–differential equations are also investigated. We consider several types of kernel functions: (I) positive functions, such as
and
, where ρ>0 is a constant; (II) nonnegative kernels with compact supports, for examples, (i)
1$$" align="middle" border="0">
, and (ii)
{\pi\over 2}$$" align="middle" border="0">
; (III) Mexican hat type kernel functions, such as
and
, where A>B>0 and a>b>0 are constants.Dedicated to Professor Yulin Zhou and Professor Boling Guo on the Occassions of their birthdays. 相似文献
45.
IntroductionSince 1 958,Levsionandseveralotherauthors[1]- [4 ]havemadeasubstantialstudyforexistenceandestimateofsolutionsforthethird_ordersingularlyperturbedboundaryvalueproblemwithtwopointboundaryconditionsx( 0 ) =A ,x′( 0 ) =B ,x′( 1 ) =C ,orslightlyextensivelylinearbo… 相似文献
46.
I.IntroductionThedecompositionofadeformationgradientfunctionFisafundamentalproblemforfinitedeformationtheory.Greenstraintheoryandpolardecompositiontheorywereemployedbymostscientists,However,thesetheorieshaveallsomeconsiderabledrawbacks.Inl979,ChenZhidadev… 相似文献
47.
A Trigger of Coupled Singularities 总被引:3,自引:0,他引:3
By using example of nonlinear dynamics of a pair of coupled gears, the phenomenon of appearance and disappearance of a trigger of coupled singularities and homoclinic orbits in the form of number eight in the phase portrait in the phase plane is investigated. That phenomenon is an accompanying phenomenon of loss of stability of the local unique equilibrium position. For a generalized case under certain conditions, a theorem of the appearance of a trigger of coupled singularities in a nonlinear dynamical conservative system, the first derivative of the system potential energy which is a product of two periodic functions with different periods, and one bifurcation parameter, which is the cause for the appearance of new roots of these two functions, is defined. 相似文献
48.
A class of nonlinear boundary value problems (BVP) for the second-order E2 class elliptic systems in general form is discussed. By introducing a kind of transformation, this kind of BVP is reduced
to a class of generalized nonlinear Riemann-Hilbert BVP. And then some singular integral operators are introduced to establish
the equivalent nonlinear singular integral equations. The solvability is proved under some suitable hypotheses by means of
the properties of singular integral operators and the function theoretic methods.
Foundation items: the National Natural Science Foundation of China (19671056); Shanghai Municipal Natural Scientific Foundation (99ZA14030,
01ZA14023); Jiangxi Provincial Natural Scientific Foundation (981102, 0211014)
Biographies: LI Ming-zhong (1935−); XU Ding-hua (1967−) 相似文献
49.
Ling Yong-yong 《应用数学和力学(英文版)》1992,13(3):273-279
In the present paper the concept and properties of the residual functional in Sobolev space are investigated. The weak compactness,
force condition, lower semi-continuity and convex of the residual functional are proved. In Sobolev space, the minimum principle
of the residual functional is proposed. The minimum existence theoreom for J(u)=0 is given by the modern critical point theory.
And the equivalence theorem or five equivalence forms for the residual functional equation are also proved. 相似文献
50.
Xixia Ma 《Applicable analysis》2018,97(9):1600-1610
We study the nonhomogeneous boundary value problem for the steady Magnetohydrodynamic equations in a two-dimensional bounded domain with multiply connected boundary. We prove that this problem has an admissible solution in an admissible domain if the boundary value is admissible. The proof of the main result uses some property for a weak solution to the transport equations in an admissible domain. 相似文献