共查询到20条相似文献,搜索用时 31 毫秒
1.
Some existence theorems of common and coincidence solutions for a class of systems of functional equations arising in dynamic programming 总被引:1,自引:0,他引:1
张石生 《应用数学和力学(英文版)》1991,12(1):33-39
Some existence theorems of common and coincidence solutions for a class of moregeneral systems of functional equations arising in dynamic programming are shown.Theresults presented in this paper not only contain the corresponding results of[6,7]as specialcases,but also give an existence theorem of solutions for a class of functional equationssuggested by Wang recently. 相似文献
2.
IntroductionInpaper[1],D.Guoestablishedtheexistenceofextremesolutionsofinitialvalueproblemsforfirst_orderintegro_differentialequationsofVolterratypeinBanachspaces.Now,weconsidertheIVPforsecond_orderintegro_differentialequationsinarealBanachspaceE:u″=F(t,u,… 相似文献
3.
IntroductionThetheoryofimpulsivedifferentialequationshasbeenemergingasanimportantareaofinvestigationsinrecentyears (see [1 ] ) .Inpaper [2 ] ,GuoDa_junestablishedsomeexistencetheoremsofextremalsolutionsfornonlinearimpulsiveVolterraintegralequationsonafinitein… 相似文献
4.
司建国 《应用数学和力学(英文版)》1996,17(1):29-37
SiJianguo(司建国)(ReceivedMay30,1994,CommunicatedbyLinZongchi)DISCUSSIONONTHEPERIODICSOLUTIONSFORHIGHER-ORDERLINEAREQUATIONOFNEU... 相似文献
5.
I.IntroductionTheexistenceandcomparisonresultsofsolutionsfornonlinearVolterraintegralequationsinstrongtopologyofBanachspaceshavebeenobtainedbyVaughnI"'"],LakshmikanthamIl3]andLakshmikantham-Leela114l.TheexistenceresultsofweaksolutionsfortheCauchyproblemof… 相似文献
6.
Fernanda Botelho James Jamison Angela Murdock 《Journal of Dynamics and Differential Equations》2008,20(1):165-199
We study the existence and linear stability of stationary pulse solutions of an integro-differential equation modeling the
coarse-grained averaged activity of a single layer of interconnected neurons. The neuronal connections considered feature
lateral oscillations with an exponential rate of decay and variable period. We identify regions in the parameter space where
solutions exhibit areas of excitation with single- and dimpled-pulses. When the gain function reduces to the Heaviside function,
we establish existence of single-pulse solutions analytically. For a more general gain function, we include numerical support
of the existence of pulse-like solutions. We then study the linear stability behavior of these solutions. 相似文献
7.
阐明线性弹性力学和线性弹性结构理论中解的存在性的基本概念和研究解的存在性意义, 简述微分方程和弹性力学解的存在性的研究结果, 着重介绍和评价王大钧和胡海昌的关于复杂结构和组合弹性结构理论解的存在性的研究成果, 介绍了他们的结构理论算子正定性定理和能量嵌入算子紧致性定理. 相似文献
8.
Valentina Busuioc 《International Journal of Non》2004,39(1):1-12
We consider the equations governing the motion of third grade fluids in . We show global existence of solutions without any smallness assumption, by assuming only that the initial velocity belongs to the Sobolev space H2. The uniqueness of such solutions is also proven in dimension two. 相似文献
9.
Toka Diagana 《Nonlinear dynamics》2006,45(1-2):45-53
This paper is concerned with the existence and uniqueness of pseudo almost periodic solutions to a class of semilinear differential
equations involving the algebraic sum of two (possibly noncommuting) densely defined closed linear operators acting on a Hilbert
space. Sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those semilinear equations
are obtained.
An erratum to this article is available at . 相似文献
10.
The theory of planar dynamical systems is used to study the dynamical behaviours of travelling wave solutions of a nonlinear wave equations of KdV type.In different regions of the parametric space,sufficient conditions to guarantee the existence of solitary wave solutions,periodic wave solutions,kink and anti-kink wave solutions are given.All possible exact explicit parametric representations are obtained for these waves. 相似文献
11.
SOLUTIONSFORASYSTEMOFNONLINEARRANDOMINTEGRALANDDIFFERENTIALEQUATIONS¥DingXieping(丁协平)WangFan(王凡)(DepartmentofMathematics,Sich... 相似文献
12.
F. Andreu J. M. Mazón F. Simondon J. Toledo 《Journal of Dynamics and Differential Equations》1998,10(3):347-377
In this paper we prove the existence of a compact attractor in L
() for a degenerate nonlinear diffusion problem with nonlinear flux on the boundary. In order to formulate the equation as a dynamical system, some existence and uniqueness results for weak solutions are proved. 相似文献
13.
On the boundedness and periodicity of the solutions of a certain vector differential equation of third-order 总被引:1,自引:0,他引:1
Cemil Tune 《应用数学和力学(英文版)》1999,20(2):163-170
IntroductionWeshallbeconcernedherewiththird-ordersystemofnon-lineardifferentialequationsoftheformX F(X,X)X Ba H(X)=P(t,X,X,X),(l)whereX6R",R"denotestherealn-dimensionalEuclldeanspaceRxRx'xR(nfactors),R=(--ac,ac),Fisannxn-matrixfunction,Bisarealnxn-constantsymmetricmatrix,H:R"~R"1andp:RxR"xR"xR"~R".ThedotsindicatCdifferentiationwithrespeCttot.ThefunctionsF,HandParecontinuousforallvaluesoftheirrespeCtivearguments.Moreover,theexistenceandtheuniquenessofthesolutionsof(l)willbeassu… 相似文献
14.
IntroductionSeveralpapershavebeenwrittenaboutequationwhereLisalineardifferentialexpression,NacontinuouslyFrechetdifferentialoperatorsuchthatL N'(u)satisfiescertainconditions,andFanoperator,usuallywithboundedrange.AconcreteexampleiswhereLisaseconddifferentialoperator,gsatisfiessomeconditionsrelatingtoL,andfisbounded.AmainlyusedtechniqueisSchauderfixedpointtheorem.Byestablishingapriorbound,itisnaturaltoobtaintheexistCnceofthesolutions.Butthismethodcannotgettheuniquenessofthesolution,noristh… 相似文献
15.
M. Bourich M. Hasnaoui A. Amahmid 《International Journal of Heat and Fluid Flow》2004,25(6):1034-1046
This paper reports numerical results of two-dimensional double-diffusive natural convection in a square porous cavity partially heated from below while its upper surface is cooled at a constant temperature. The vertical walls of the porous matrix are subjected to a horizontal concentration gradient. The parameters governing the problem are the thermal Rayleigh number (Ra=100 and 200), the Lewis number (Le=0.1, 1 and 10), the buoyancy ratio (−10N10) and the relative position of the heating element with respect to the vertical centerline of the cavity (δ=0 and 0.5). The effect of the governing parameters on fluid characteristics is analyzed. The multiplicity of solutions is explored and the existence of asymmetric bicellular flow is proved when the heated element is shifted towards a vertical boundary (δ=0.5). The solutal buoyancy forces induced by horizontal concentration gradient lead to the elimination of the multiplicity of solutions obtained in pure thermal convection when N reaches some threshold value which depends on Le and Ra. 相似文献
16.
IntroductionItiswell_knownthatthebasiccharacteristicsofnonlinearintegralequationofVolterratypearefundamentallydifferentfromthatofHammersteintype:Hammersteinintegralequationhasafixedupperlimitofintegration.Thismeansthatasolutionmustalwaysbedefinedovere… 相似文献
17.
李慧玲 《应用数学和力学(英文版)》2009,30(6):727-740
Using finite differences and entropy inequalities, the global existence of weak solutions to a multidimensional parabolic strongly coupled prey-predator model is obtained. The nonnegativity of the solutions is also shown. 相似文献
18.
By using the theory of planar dynamical systems to the ion acoustic plasma equations, we obtain the existence of the solutions of the smooth and non-smooth solitary waves and the uncountably infinite smooth and non-smooth periodic waves. Under the given parametric conditions, we present the sufficient conditions to guarantee the existence of the above solutions. 相似文献
19.
Many theoretical studies have shown the existence of a hysteresis effect in the solution of oblique shock reflections. In
fact, a wide domain of free-stream Mach number and shock angle values exists where regular reflection and Mach reflection
are both possible solutions for the same flow conditions. Part of this domain overlaps the typical operating conditions of
supersonic air intakes, and therefore it is of practical interest to obtain a deeper understanding of the theoretical problem.
Indeed, although both solutions are theoretically possible, they yield very different flowfields and consequently large discrepancies
in the evaluation of the air intake performance. Numerical solutions for steady configurations have been carried out and compared
with the flow evolution obtained for time-dependent cases. The results have confirmed numerically the existence of the multiple
solution domain where hysteresis takes place in time-dependent simulations. The analysis of the physical and numerical problems
encountered has provided indications for a correct simulation in practical applications.
Received 10 August 1999 / Accepted 6 October 2000 相似文献
20.
IntroductionSince 1 958,Levsionandseveralotherauthors[1]- [4 ]havemadeasubstantialstudyforexistenceandestimateofsolutionsforthethird_ordersingularlyperturbedboundaryvalueproblemwithtwopointboundaryconditionsx( 0 ) =A ,x′( 0 ) =B ,x′( 1 ) =C ,orslightlyextensivelylinearbo… 相似文献