共查询到20条相似文献,搜索用时 62 毫秒
1.
王培光 《应用数学和力学(英文版)》1999,20(6):698-704
IntroductionOwingtotheextensiveapplicationofneutralequations,moreandmorestudieshavebenmadeonthebehaviorofthesolutions[1,2].Fo... 相似文献
2.
李永昆 《应用数学和力学(英文版)》2000,21(7):849-854
IntroductionConsiderthenonlinearautonomousdelaydifferentialequationx′(t) ∑mi=1pifi(x(t-τi) ) =0 (1 )andthelinearequationx′(t) ∑mi=1pix(t-τi) =0 ,(2 )where ,pi ∈ (0 ,∞ ) ,τi ∈ [0 ,∞ )andfi ∈C(R ,R)fori =1 ,… ,m .InRef.[1 ] ,thelinearizedoscillationsofEq .(1 )wasstudiedanditwasprovedthatift… 相似文献
3.
On the existence of periodic solutions to higher dimensional periodic system with delay 总被引:1,自引:0,他引:1
Consideringthehigherdimensionalperiodicsystemswithdelayoftheformx′(t)=A(t,x(t))x(t)+f(t,x(t-τ)),(1)x′(t)=gradG(x(t))+f(t,x(t-... 相似文献
4.
黄先开 《应用数学和力学(英文版)》1999,20(10):1116-1120
IntroductionIntherecentyears,withalotofapplicationsofneuralnetworkmodels,manyauthors[1~3]areinterestedintheresearchofthestructureandperformanceforthesenetworks.BecauseHopfieldneuralnetworkwellsimulatetheecologicalsystem,manystudiesareconcentratedonth… 相似文献
5.
李永昆 《应用数学和力学(英文版)》1999,20(5):579-584
IntroductionAtpresent,thereareonlyafewpapers[1~3]havingbenpublishedontheglobalexistenceofperiodicsolutionsforneutraldelaypopu... 相似文献
6.
Let E be a Banach space. We prove the instability of the trivial solution of the differential equation
where f: [0, +∞) × E → ℝ is a continuous mapping for which
__________
Translated from Neliniini Kolyvannya, Vol. 8, No. 3, pp. 404–414, July–September, 2005. 相似文献
7.
Inrecentyears,applicationsofquaternionmatricesarebecomingmoreandmoreimportantandextensiveinrigidmechanics,quantummechanics,controltheoryandhelicaltechnology[1~3].Withtherapiddevelopmentoftheabovedisciplines,itisgettingmoreandmorenecessaryforustofurth… 相似文献
8.
IntroductionConsiderthefollowingdelaydifferenceequationxn 1=xn(a bxn)xn- 1, n=0 ,1 ,2 ,… ,(1 )wherea ,b∈ [0 ,∞ )witha b>0 (2 )andwheretheinitialvaluesx- 1andx0 arearbitrarypositivenumbers.Eq .(1 )isregardedasageneralizedLynessequationbyG .Ladasin [1 ] .Obviously ,undercondition (2 ) ,… 相似文献
9.
On nonlinear hyperbolic equation in unbounded domain 总被引:2,自引:0,他引:2
The following nonlinear hyperbolic equation is discussed in this paper: where The model comes from the transverse deflection equation of an extensible beam. We prove that there exists a unique local solution of the above equation as M depends on x. 相似文献
10.
IntroductionandProblemintheResearchofToroidThispaperdealswiththeexistenceof2π_periodicsolutionstothenonlinearsystemoffirst_orderdifferentialequationswithadeviatingargument x(t) =Bx(t) F(x(t-τ) ) p(t) ,( 1 )wherex(t)∈R2 , x(t) =ddtx(t) ,τ∈R ,B∈R2×2 ,F :R2 →R2 isboundedandp∈C(… 相似文献
11.
ntroductionInrecentyears,chaosinnonlineardynamicsystemshasbenarousingmoreandmoreinterest[1~3].Thechaoticmotionisregardedasana... 相似文献
12.
Let X be a uniformly smooth real Banach space. Let T:X → X be continuos and strongly accretive operator. For a given f ε X,
define S: X → X by Sx =f−Tx+x, for all x ε X. Let {an}
n=0
∞
, {βn}
n=0
∞
be two real sequences in (0, 1) satisfying:
;
Assume that {un}
n=0
∞
and {υn}
n=0
∞
are two sequences in X satisfying ‖un‖ = 0(αn) and ‖υn‖ → 0 as n → ∞. For arbitrary x0 ε X, the iteration sequence {xn} is defined by
Moreover, suppose that {Sxn} and {Syn} are bounded, then {xn} converges strongly to the unique fixed point of S. 相似文献
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(1) |
13.
朱勇 《应用数学和力学(英文版)》1998,19(11):1059-1063
I.IntroductionItiswell-knobal.nthatKorteweg-deVriesequationisacanonicalmodeltodescribethebalanceofthenonlineareffectandthedispersiveeffectofaphysicalsystem.Thisequationpossessestheso-called'soliton"solution,whichhasbeenfoundnumericallybyZabuskyandKruskall'].Ho-c'Jlever,sometimesthebalanceofnonlinearityanddispersionofasystemmayleadtoa,integroditTerentialequationinsteadofadifferentialequation.Forinstance,inthestudyofvortexbreakdownofanunboundedrotatingfluidLeibovich12]derivedfollowingnonline… 相似文献
14.
ConsidertheCauchyproblemforthewaveequationinRN×R+(N≥2):2u(x,t)t2-xiaij(x)xju=|u|p-1·u ((x,t)∈RN×(0,T)),u(x,0)=g(x) (x∈RN),ut(x,0)=h(x) (x∈RN),(1)whereu(x,t)isnontrivialsolutionwithfinitespeedofpropagationandissupportedonaforwardcone(x,t)·t≥0,|… 相似文献
15.
By using comparison theorem and constructing suitable Lyapunov functional, we study the following periodic Lotka–Volterra model with M-predators and N-preys by pure-delay type
A set of easily verifiable sufficient conditions are obtained for the existence and global attractivity of a unique positive almost periodic solution of the above model, which improve and generalize some known results. 相似文献
16.
郭艾 《应用数学和力学(英文版)》1999,20(6):683-689
1ProblemsandMainResultsInthispaper,westudythenonlinearvibrationsofinfiniterodswithviscoelasticity.Theconstitutionlawoftherods... 相似文献
17.
Iterative solution of nonlinear equations with strongly accretive operators in Banach spaces 总被引:1,自引:0,他引:1
周海云 《应用数学和力学(英文版)》1999,20(3):282-289
1IntroductionandPreliminariesLetXbearealBanachspacewithnormIJ'11andadualX'.ThenormalizeddualitymappingJ:X~ZxisdefinedbyJx={x'eX*I(x,x')=11x112=11x if'},where',')denotesthegeneralizeddualitypairing.Itiswell-knownthatifX isstrictlyconvex,Jissingle-valuedandJ(tx)=tjxforallt201xeX.IfX*isuniformlyconvex,thenJisuniformlycontinuousonanyboundedsubsetSofX(of.Browde,fljandBarbuL2]).AnoperatorTwithdomainD(T)andrangeR(T)inXissaidtobeaccretiveifforeveryx,y6D(T),thereexistsajeJ(x--y)suchthat(T… 相似文献
18.
云天铨 《应用数学和力学(英文版)》1995,16(5):443-449
In this paper, the solution of a 2-D weak singular integral equation of the first kind
相似文献
19.
This paper considers the second-order differential difference equation
20.
ITERATIVE PROCESS TO -HEMICONTRACTIVE OPERATOR AND-STRONGLY ACCRETIVE OPERATOR EQUATIONS 总被引:1,自引:0,他引:1
IntroductionLetEbeanarbitraryBanachspace ,E beitsdualspaceand〈x ,f 〉bethegeneralizeddualitypairingbetweenx∈Eandf ∈E .ThemappingJ :E→ 2 E definedbyJ(x) =f ∈E :〈x ,f 〉 =‖f ‖‖x‖ ,‖f ‖ =‖x‖iscalledthenormalizeddualitymapping .IfE isstrictlyconvex ,thenJissingle_valued .Wesh… 相似文献
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