共查询到20条相似文献,搜索用时 15 毫秒
1.
张石生 《应用数学和力学(英文版)》2010,31(4):415-424
In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation. 相似文献
2.
Under loose conditions, the existence of solutions to initial value problem are studied for second order impulsive integro-differential equation with infinite moments of impulse effect on the positive half real axis in Banach spaces. By the use of recurrence method, Tonelii sequence and the locally convex topology, the new existence theorems are achieved, which improve the related results obtained by Guo Da-jun. 相似文献
3.
IntroductionIn[1]theexistenceanditerativeapproximationofminimaxquasi_solutionsforthefollowingIVP(*)offirstorderimpulsivediffe... 相似文献
4.
IntroductionLet(E,l'I)denotearealBanachspacewithapartialorderintroducedbyanormalconeKofE.Inthispaper,weshallconsiderthefollowinginitialvalueproblemofsecondorderordinarydifferentialequation(IVP):wheref:JxEZ~EandJ=LO,TiforT>0.AfunctionxeCI(J,E)issaidtobeasolutionofIVP(I)ifithasabsolutelycontinuousfirstderivativeandsatisfies(I)fora.e.teJ.Theuseofmonotonemethodsinthestudyoftheinitial(boundary)valueproblemsofordinarydiffferentialequationshasrecentlybeenquiteextensive(see,forexample[I~8]… 相似文献
5.
Yun Tian-quan 《应用数学和力学(英文版)》1980,1(1):121-131
Let the concentrated forces and the centers of pressure with unknown density functions x(ξ) and y(ξ) respectively be distributed along the axis z outside the solid, then one can reduce an axismmetric loading problem of solids of revolution to two simultaneous Fredholm integral equations. An iteration method for solving such equations is duscussed. A lemma equivalent to E. Rakotch’s contractive mapping theorem and a theorem concerning the convergent proof of the iteration method are presented. 相似文献
6.
IntroductionInpaper[1],D.Guoestablishedtheexistenceofextremesolutionsofinitialvalueproblemsforfirst_orderintegro_differentialequationsofVolterratypeinBanachspaces.Now,weconsidertheIVPforsecond_orderintegro_differentialequationsinarealBanachspaceE:u″=F(t,u,… 相似文献
7.
宋福民 《应用数学和力学(英文版)》1998,19(11):1103-1113
I.IntroductionOwingtothefactthatthesystemwithwhicheconomics,biologyandsoonaredefinitelyconcernedtohaveuncertainty,includingthatcausedbyrestrictiononknowledge.asformathematicaltreatment,generallytheycanonlybedescribedbymeansofdifferentialinclusionsinsteadofdifferentialequations.Itiswell-knownthatthederivativex')ofasolutionx.)tothedifferentialequationx'(t)=f(t,x(t))inheritsthereqularityproperitiesofthemapfandthefunctionx(').Thisisnolongerthecasewithdifferentialinclusionsandisoneofthereasonswhyt… 相似文献
8.
IntroductionTheboundaryelementmethod(BEM)providesanattractivealternativefortheanalysisofengineeringproblems.Itsmainadvantagesareeconomicalandparticularlyconvenientforunboundeddomainandstressconcentrationproblems.Theboundaryintegralequation(BIE)isthe… 相似文献
9.
K. R. Raslan 《Nonlinear dynamics》2008,53(4):281-286
Exact solutions of some important nonlinear partial differential equations are obtained by using the first integral method.
The efficiency of the method is demonstrated by applying it for two selected equations. 相似文献
10.
丁协平 《应用数学和力学(英文版)》1987,8(12):1103-1114
In this paper, we prove several existence theorems of random solutions to nonlinear random Volterra integral equations under
the weak topology of Banach spaces. Then, as applications, we obtain the existence theorems of weak random solutions to random
differential equations. Existence of extremal random solutions and a random comparison theorem for these random equations
are also obtained. Our theorems improve and extend the corresponding results in [4,5,10,11,12].
Projects supported by the Science Fund of the Chinese Academy of Sciences. 相似文献
11.
宋光兴 《应用数学和力学(英文版)》1996,17(11):1081-1085
EXISTENCETHEOREMSOFEXTREMALSOLUTIONSFORACLASSOFNONLINEARINTEGRO-DIFFERENTIALEQUATIONSSongGuangxing(宋光兴)(ReceivedMay4,1995;Com... 相似文献
12.
董卫 《应用数学和力学(英文版)》1997,18(12):1191-1196
I.IntroductionItiswell-knownthatthenon-linearVolterraintegralequationn(x)~10k(x~s)g(u(s))ds(0相似文献
13.
In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product spaces. As a corollary of our result, some coupled fixed point theorems are obtained, which generalize the coupled fixed point theorems obtained by Guo Da-jun and Lankshmikanthamt and the results obtained by Lan in, and. 相似文献
14.
This paper studies existence of at least three positive doubly periodic solutions of a coupled nonlinear telegraph system with doubly periodic boundary conditions. First, by using the Green function and maximum principle, existence of solutions of a nonlinear telegraph system is equivalent to existence of fixed points of an operator. By imposing growth conditions on the nonlinearities, existence of at least three fixed points in cone is obtained by using the Leggett-Williams fixed point theorem to cones in ordered Banach spaces. In other words, there exist at least three positive doubly periodic solutions of nonlinear telegraph system. 相似文献
15.
EXISTENCETHEOREMSOFSOLUTIONSFORTWO-POINTBOUNDARYVALUEPROBLEMOFSECONDORDERORDINARYDIFFERENTIALEQUATIONSINBANACHSPACESZhangShis... 相似文献
16.
17.
丁协平 《应用数学和力学(英文版)》2010,31(9):1049-1062
A new system of generalized mixed implicit equilibrium problems is introduced and studied in Banach spaces. First, the notion of the Yosida proximal mapping for generalized mixed implicit equilibrium problems is introduced. By using the notion, a system of generalized equation problems is considered, and its equivalence with the system of generalized mixed implicit equilibrium problems is also proved. Next, by applying the system of generalized equation problems, we suggest and analyze an iterative algorithm to compute the approximate solutions of the system of generalized mixed implicit equilibrium problems. The strong convergence of the iterative sequences generated by the algorithm is proved under quite mild conditions. The results are new and unify and generalize some recent results in this field. 相似文献
18.
Huang Nanjing 《应用数学和力学(英文版)》1997,18(6):599-603
In this paper, a new kind of generalized BBM equation is introduced and discussed. Some existence theorems of periodic traveling
wave solutions for this kind generalized BBM equation are given. 相似文献
19.
Zakharov equations have a fairly abundant physical background. In this paper, the existence of the weak global solution for
quantum Zakharov equations for the plasmas model is obtained by means of the Arzela-Ascoli theorem, Faedo-Galerkin methods,
and compactness property. 相似文献
20.
罗元松 《应用数学和力学(英文版)》2001,22(4):478-482
IntroductionandPreliminariesThroughoutthispaper,weassumethatHisarealHilbertspace ,〈· ,·〉istheinnerproductonH ,PisaconeinH .ByvirtueofthecomeP ,anorder“≤”isinducedinH ,i.e .,foranygivenx,y∈H ,x≤yifandonlyify -x∈P .Amulti_valuedmappingA :D(A) H → 2 Hissaidtobeaccretiv… 相似文献