共查询到20条相似文献,搜索用时 109 毫秒
1.
In this paper,the Knaster-Karatowski-Mazurkiewicz technique(KKM technique,in short)is presented.By using this technique a new alternative theorem and a new coincidence theorem are established.The results obtained in this paper unify and generalize the corresponding results in the recent works. 相似文献
2.
TRANSFEROPENORCLOSEDSETVALUEDMAPPINGANDGENERALIZ-ATIONOFH-KKMTHEOREMWITHAPPLICATIONSLiBing-you(李秉友);SuJia-bao(苏家宝)(Department... 相似文献
3.
In this paper, we consider existence of single or multiple positive solutions of three-point boundary value problems involving one-dimensional p-Laplacian. We then study existence of solutions when the problems are in resonance cases. The proposed approach is based on the Krasnoselskii's fixed point theorem and the coincidence degree. 相似文献
4.
NEWVERSIONOFKKMTHEOREMINPROBABILISTICMETRICSPACESWITHAPPLICATIONSZhangShisheng(张石生)YeolJeCho(赵烈济)WuXiang(吴鲜)(ReceivedMay7,199... 相似文献
5.
陈至达 《应用数学和力学(英文版)》1997,18(11):1029-1036
I.IntroductionTheaccuracyofcomputermethodforsolvingengineeringproblemsfirstdependsonreliabilityofthetheorywhichisbeingapplied.Althoughfiniteelementmethodhasgainedgreatsuccessesinengineeringapplication.However,duetothetheoreticallimitationsofclassicalmecha… 相似文献
6.
丁协平 《应用数学和力学(英文版)》2003,24(9)
IntroductionThispaperisacontinuumoftheprecedingpaperofauthor[1] .Fortheconceptsandnotationsofgeneralizedconvex (orG_convex)space ,CG_convexspace,theclassB(Y ,X)ofbetteradmissiblemappings ,GB_mappings,GB_majorizedmappingsandtherelatednotions,thereadermayconsultRef.[1].Themainaimofthispaperistogivesomeapplicationsoftheexistencetheoremsofmaximalelementsobtainedbyauthor[1] .ByapplyingourresultsinRef.[1],wegivesomecomponentversionofcoincidencetheoremandFan_Browdertypefixedpointtheorems .Somee… 相似文献
7.
张石生 《应用数学和力学(英文版)》1993,14(7):607-614
By using the partial ordering method,a more general type,of Ekeland’s ariational principle and a set-valued Caristi’s coincidence theorem in probabilistic metric spaces are obtained.In addition,a direct simple proof of the equivalence between these two theorems in probabilistic metric spaces is given. 相似文献
8.
By means of coincidence degree theory and Mawhin's continuation theorem, a theoretical proof is given for the existence of oscillatory solutions of the simplified dynamical system which governs the motion around the center of mass in a longitudinal flight with constant forward velocity of a rigid aircraft, when the automatic flight control system is decoupled. 相似文献
9.
Yanguang Li 《Journal of Dynamics and Differential Equations》2003,15(4):699-730
For finite-dimensional maps and periodic systems, Palmer rigorously proved Smale horseshoe theorem using shadowing lemma in 1988 [20]. For infinite-dimensional maps and periodic systems, such a proof was completed by Steinlein and Walther in 1990 [30], and Henry in 1994 [9]. For finite-dimensional autonomous systems, such a proof was accomplished by Palmer in 1996 [17]. For infinite-dimensional autonomous systems, the current article offers such a proof. First we prove an Inclination Lemma to set up a coordinate system around a pseudo-orbit. Then we utilize graph transform and the concept of persistence of invariant manifold, to prove the existence of a shadowing orbit. 相似文献
10.
Ding Xie-ping 《应用数学和力学(英文版)》2003,24(9):1017-1024
By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem
and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex
spaces. These theorems improve and generalize many important known results in literature.
Contributed by Duping Xie-ping
Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan
Province ([2000]25)
Biography: Duping Xie-ping (1938∼), Professor (E-mail: dingxip@sichu.edu.cn) 相似文献
11.
I.IntroductionFanKyinequalityisaveryusefultoolinnoolinearanalysiswhichasserts:LetXbeanonemptycompactconvexsetinatopologicallinearspaceandWbeareal-valuedfunctiondefinedonXxX.Assumethat(i)9(x,y)islowersemicontinuousinac;(n)9(x,y)isquasiconcaveiny.ThenthereisboaXsuchthatsHPg(xo'Y)$sZPp(x,x).SinceFanKyprovedtheinequalityin1972,variousg...,.li..tlon,havebeen;v..byseveralauthors(see[l-3]andreferencestherein).Thepreviousgeneralizationsallremainedtheconditions(i)-'9(x,y)beinglowersemicontinuous… 相似文献
12.
丁协平 《应用数学和力学(英文版)》1999,20(5):485-494
IntroductionRecentlytherehaveappearedanumberofnewfixedpointtheoremsandcoincidencetheoremsinvolvingso_caledKakutanifactorizabl... 相似文献
13.
The uniqueness theorem and the theorem of reciprocity in the linearized porous piezoelectricity are established under the
assumption of positive definiteness of elastic and electric fields. General theorems in the linear theory of porous piezoelectric
materials are proved for the quasi-static electric field approximation. The uniqueness theorem is also proved without using
the positive definiteness of the elastic field. An eigenvalue problem associated with free vibrations of a porous piezoelectric
body is studied using the abstract formulation. Some properties of operators are also proved. The problem of frequency shift
due to small disturbances, based on an abstract formulation, is studied using a variational and operator approach. A perturbation
analysis of a special case is also given. 相似文献
14.
Inthisliterature [1 ] ,[2 ]order 0~ 4isotropicdescartestensor’sexistenceanditsgeneralrepresentationformulaarediscussed .Withregardtoorderk ≥ 5(descartestensororaffineorthogonaltensor) ,thenumber (3 k)ofitscomponentsisverybig ,anditsstructureisverycomplicated ,sonopa… 相似文献
15.
Section theorems,coincidence theorems and intersection theorems on H-spaces with applications 总被引:3,自引:0,他引:3
The purpose of this paper is to study the section theorems, coincidence theorems and intersection theorems on H-spaces. As a way of application, we use these results to study the existence problems of solutions for minimax inequalities and variational inequalities. The results presented in this paper improve and extend the corresponding results in [1, 3, 5, 6, 8, 9, 12, 14,15, 17] 相似文献
16.
付宝连 《应用数学和力学(英文版)》2002,23(2):203-210
IntroductionInthree_dimensionalphotoelasticity ,photoplasticity ,simulatingexperimentsofbuildingstructuresandphysicalsimulationsofmetalformingprocesses,thereiseachandallanidenticalproblemsforstudy ,thatis,greaterrorsareusuallycausedbythesuppositionthatth… 相似文献
17.
双参数基础上弹性薄板的中值定理 总被引:1,自引:0,他引:1
本文提出了双参数基础上弹性薄板的中值定理并给出了证明。作为一种特殊情况,当地基特征参数 G_p 和 k 趋于零时,获得了 Winkler 基础上弹性薄板的中值定理和二维双调和函数的中值定理。 相似文献
18.
The concept of Fan-Browder mappings was first introduced in topological spaces without any convex structure. Then a new continuous selection theorem was obtained for the Fan-Browder mapping with range in a topological space without any convex structure and noncompact domain. As applications, some fixed point theorems, coincidence theorems and a nonempty intersection theorem were given. Both the new concepts and results unify and extend many known results in recent literature. 相似文献
19.
Thestudyofconservationlawsofdynamicalsystemisasignificantaspectofmodernanalyticalmechanics.In1918,usingtheinvarianceofHamiltonactionundertheinfinitesimaltransformations,Noether[1]studiedconservationlawsofmechanicalsystemandpresentedthefamousNoether’stheor… 相似文献
20.
丁协平 《应用数学和力学(英文版)》2005,26(12):1547
A new notion of finite continuous topological space (in short, FC-space)with out convexity structure was introduced. A new continuous selection theorem was established in FC-spaces. By applying the continuous selection theorem, some new coincidence theorems for two families of set-valued mappings defined on product space of noncompact FC-spaces are proved under much weak assumptions. These results generalize many known results in recent literature. Some applications will be given in a follow-up paper. 相似文献