DIFFERENtIAl & DIFFERENCE EqUAtIONS ANd APPlICAtIONS

1252 Pages·2006·17.17 MB·English

Proceedings of the Conference on
Differential
& Difference
Equations and
Applications
Edited By
Ravi P. Agarwal
and Kanishka Perera
Proceedings of the Conference on
Differential
& Difference
Equations and
Applications

Proceedings of the Conference on
Differential
& Difference
Equations and
Applications
Edited By
Ravi P. Agarwal
and Kanishka Perera
HindawiPublishingCorporation
410ParkAvenue,15thFloor,#287pmb,NewYork,NY10022,USA
NasrCityFreeZone,Cairo11816,Egypt
Fax:+1-866-HINDAWI(USAtoll-free)
©2006HindawiPublishingCorporation
Allrightsreserved.Nopartofthematerialprotectedbythiscopyrightnoticemaybereproducedor
utilizedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recording,
oranyinformationstorageandretrievalsystem,withoutwrittenpermissionfromthepublisher.
ISBN977-5945-380
CONTENTS
Preface ..................................................................... xiii
Aunifiedapproachtomonotonemethodsfornonlinearhyperbolicproblems,
J.O.Adeyeye,D.H.Dezern,andS.G.Pandit.................................... 1
On the integral manifolds of the differential equation with piecewise constant
argumentofgeneralizedtype,MaratAkhmet ................................... 11
Impulsivecontrolofthepopulationdynamics,M.U.Akhmet,D.Arug˘aslan,
andM.Bekliog˘lu............................................................. 21
LpconvergencewithratesofsmoothPicardsingularoperators,
GeorgeA.Anastassiou......................................................... 31
Boundaryestimatesforblow-upsolutionsofellipticequationswith
exponentialgrowth,C.Anedda,A.Buttu,andG.Porru........................... 47
BackwardstochasticVolterraintegralequationsinHilbertspaces,
VoAnhandJiongminYong.................................................... 57
Second-orderdifferentialgradientmethodsforsolvingtwo-persongameswith
coupledvariables,AnatolyAntipin............................................. 67
Ontheeigenvalueofinfinitematriceswithnonnegativeoff-diagonalelements,
N.ApreuteseiandV.Volpert................................................... 81
Onstructureoffractionalspacesgeneratedbythepositiveoperatorswith
thenonlocalboundaryconditions,AllaberenAshyralyevandNergizYaz............ 91
Well-posednessofthenonlocalboundaryvalueproblemforellipticequations,
AllaberenAshyralyev ......................................................... 103
Onthestabilityofthedifferenceschemesforhyperbolicequations,
AllaberenAshyralyevandMehmetEmirKoksal...................................117
Anexistenceresultforaclassofsingularproblemswithcriticalexponents,
R.B.Assun¸ca˜o,P.C.Carria˜o,andO.H.Miyagaki................................ 131
vi Contents
Two-weightedPoincare´-typeintegralinequalities,GejunBao..................... 141
Inversesourceproblemforthewaveequation,
MouradBellassouedandMasahiroYamamoto................................... 149
Productdifferenceequationsapproximatingrationalequations,
KennethS.BerenhautandJohnD.Foley.........................................159
On exponential dichotomy for linear difference equations with bounded and
unboundeddelay,LeonidBerezanskyandElenaBraverman....................... 169
Quasidiffusionmodelofpopulationcommunity,F.Berezovskaya ................. 179
Economiccontrolofepilepsyinagiventimeperiod,
D.K.BhattacharyaandS.K.Das.............................................. 189
Fixed-signeigenfunctionsoftwo-pointrightfocalboundaryvalueproblemson
measurechain,K.L.BoeyandPatriciaJ.Y.Wong................................ 201
LowerboundfortheeigenvaluesofquasilinearHill’sequation,G.Bogna´r..........211
Multiple positive solutionsofsuperlinearelliptic problemswith sign-changing
weight,DenisBonheure,Jos´eMariaGomes,andPatrickHabets.................... 221
Positivesolutionsofsecond-orderboundaryvalueproblems,
AbdelkaderBoucherif ......................................................... 231
SpectralstabilityofellipticselfadjointdifferentialoperatorswithDirichlet and
Neumannboundaryconditions,VictorI.BurenkovandPierDomenicoLamberti.... 237
Maximumprinciplesforthird-orderinitialandterminalvalueproblems,
AlbertoCabada.............................................................. 247
Hocharacteristicequationssurpasscontradictionsofmodernmathematics,
L.A.V.Carvalho............................................................. 257
OnChebyshevfunctionalbounds,P.Cerone.................................... 267
Asymptoticstabilityindiscretemodelsforiteroparousspecies,DavidM.Chan..... 279
Mathematicalanalysisofflyfishingrodstaticanddynamicresponse,
Der-ChenChang,GangWang,andNormanM.Wereley .......................... 287
Continuousanddiscretenonlinearinequalitiesandapplicationstoboundary
valueproblems,Wing-SumCheung............................................ 299
Oscillation of higher-order neutral type functional differential equations with
distributedarguments,R.S.DahiyaandA.Zafer................................ 315
Onparabolicsystemswithdiscontinuousnonlinearities,H.Deguchi.............. 325
Asymptoticstabilityforahigher-orderrationaldifferenceequation,
M.Dehghan,C.M.Kent,andH.Sedaghat ...................................... 335
vii
(cid:2)
Inequalitiesforpositivesolutionsoftheequation y˙(t)=− ni=1(ai+bi/t)y(t−τi),
JosefDibl´ıkandMa´riaKu´delˇc´ıkova´............................................. 341
LocalandglobalestimatesforsolutionstotheA-harmonicequationand
relatedoperators,ShusenDing ................................................ 351
Nonoscillationofoneofthecomponentsofthesolutionvector,
AlexanderDomoshnitsky...................................................... 363
ModulatedPoissonmeasuresonabstractspaces,JewgeniH.Dshalalow ............ 373
Annularjetandcoaxialjetflow,JoshuaDuandJunJi............................ 383
Ontheglobalbehaviorofsolutionstononlinearinversesourceproblems,
A.EdenandV.K.Kalantarov.................................................. 391
Justification of quadrature-difference methods for singular integrodifferential
equations,A.Fedotov......................................................... 403
Existenceandmultiplicityresultsforhemivariationalinequalities,
MichaelE.Filippakis ......................................................... 413
Vlasov-Enskogequationwiththermalbackgroundingasdynamics,
WilliamGreenbergandPengLei................................................423
Therelationshipbetweenkineticsolutionsandrenormalizedentropysolutionsof
scalarconservationlaws,SatomiIshikawaandKazuoKobayasi.................... 433
SubdifferentialoperatorapproachtotheDirichletproblemofnonlineardegenerate
parabolicequations,A.Ito,M.Kubo,andQ.Lu ................................. 441
Adiscrete-timehost-parasitoidmodel,SophiaR.-J.JangandJui-LingYu........... 451
A discrete eigenfunctions method for numerical solution of random diffusion
models,L.Jo´dar,J.C.Cort´es,andL.Villafuerte.................................. 457
The immediate duality as the most simple sensor for solving smooth
multidisciplinaryellipticproblems(domainvariation),V.Kaminsky .............. 467
OnnonlinearSchro¨dingerequationsinducedfromnearlybichromaticwaves,
S.Kanagawa,B.T.Nohara,A.Arimoto,andK.Tchizawa......................... 477
VolterraintegralequationmethodfortheradialSchro¨dingerequation,
Sheon-YoungKang ........................................................... 487
Numericalsolutionofatransmissionlineproblemofelectrodynamicsinaclass
ofdiscontinuousfunctions,TurhanKaragulerandMahirRasulov................. 501
Inhomogeneousmaps:thebasictheoremsandsomeapplications,
GeorgyP.Karev.............................................................. 509
Thesemilinearevolutionequationforuniversalcontingentclaims:examples
andapplications,ValeryA.Kholodnyi.......................................... 519
viii Contents
On nonlinear boundary value problems for higher-order ordinary differential
equations,I.Kiguradze....................................................... 529
Ondoublyperiodicsolutionsofquasilinearhyperbolicequationsofthe
fourthorder,T.KiguradzeandT.Smith......................................... 541
Symmetriesoftheplaneplasticitysystemwithageneralyieldcriterion,
PetrKiriakovandAlexanderYakhno............................................ 555
Dynamicsofadiscontinuouspiecewiselinearmap,V.L.Kocic.................... 565
Asymptoticanalysisoftwocoupledreaction-diffusionproblems,DiallaKonate.....575
ProbabilisticsolutionsoftheDirichletproblemforIsaacsequation,JayKovats ..... 593
OnanestimateforthenumberofsolutionsofthegeneralizedRiemannboundary
valueproblemwithshift,V.G.Kravchenko,R.C.Marreiros,andJ.C.Rodriguez..... 605
Monotonicityresultsandinequalitiesforsomespecialfunctions,
A.LaforgiaandP.Natalini.................................................... 615
Positivecharacteristicvaluesandoptimalconstantsforthree-pointboundary
valueproblems,K.Q.Lan.................................................... 623
Well-posedness and blow-up of solutions to wave equations with supercritical
boundarysourcesandboundarydamping,
IrenaLasieckaandLorenaBociu............................................... 635
Onageneralminimizationproblemwithconstraints,
VyK.LeandDumitruMotreanu............................................... 645
Rearrangementontheunitballforfunctionswithmeanvaluezerowithapplications
toSobolevandMoserinequalities,MarkLeckband .............................. 655
Fastconvergentiterativemethodsforsomeproblemsofmathematicalbiology,
HenrykLeszczyn´ski........................................................... 661
Convergenceofseriesoftranslationsbypowersoftwo,GuodongLi................667
Smoothsolutionsofellipticequationsinnonsmoothdomains,
GaryM.Lieberman .......................................................... 677
Onminimal(maximal)commonfixedpointsofacommutingfamilyofdecreasing
(increasing)maps,Teck-CheongLim........................................... 683
IntegralestimatesforsolutionsofA-harmonictensors,BingLiu.................. 685
Boundednessofsolutionsoffunctionaldifferentialequationswithstate-dependent
impulses,XinzhiLiuandQingWang........................................... 699
Mixedrational-solitonsolutionstotheTodalatticeequation,Wen-XiuMa......... 711
ix
Modellingtheeffectofsurgicalstressandbacterialgrowthinhumancornea,
D.RoyMahapatraandR.V.N.Melnik ......................................... 721
PurelyvectorgroundstateforanonlinearnonautonomousSchro¨dingersystem,
LilianeDeAlmeidaMaia,EugenioMontefusco,andBenedettaPellacci.............. 733
LimitcyclesofLie´nardsystems,M.AmarandY.Bouattia ........................ 743
Theory of functional differential equations and some problems in economic
dynamics,V.P.Maksimov..................................................... 757
Maximum principles and decay estimates for parabolic systems under Robin
boundaryconditions,M.MarrasandS.VernierPiro............................. 767
StochasticSISandSIRmultihostepidemicmodels,
RobertK.McCormackandLindaJ.S.Allen...................................... 775
Lipschitzregularityofviscositysolutionsinsomenonlinearparabolic-freeboundary
problems,EmmanouilMilakis................................................. 787
A fourth-order BVP of Sturm-Liouville type with asymmetric unbounded
nonlinearities,F.Minho´s,A.I.Santos,andT.Gyulov............................. 795
Onanelasticbeamfullyequationwithnonlinearboundaryconditions,
F.Minho´s,T.Gyulov,andA.I.Santos........................................... 805
Remarks on the stability crossing curves of some distributed delay systems,
Constantin-IrinelMora˘rescu,Silviu-IulianNiculescu,andKeqinGu................ 815
Boundaryvalueproblemsonthehalf-linewithoutdichotomies,
JasonR.MorrisandPatrickJ.Rabier ........................................... 825
Positivesolutionsofsecond-orderdifferentialequationswithprescribedbehavior
ofthefirstderivative,OctavianG.MustafaandYuriV.Rogovchenko............... 835
ExistenceanduniquenessofanintegralsolutiontosomeCauchyproblemwith
nonlocalconditions,GastonM.N’Gu´er´ekata....................................843
AnH1-Galerkinmixedfiniteelementmethodforlinearandnonlinearparabolic
problems,NeelaNatarajandAmbitKumarPany.................................851
Stabilityofsomemodelsofcirculatingfuelnuclearreactors—aLyapunovapproach,
Silviu-IulianNiculescuandVladimirRa˘svan.................................... 861
InfinitesimalFouriertransformationforthespaceoffunctionals,
TakashiNittaandTomokoOkada.............................................. 871
LipschitzclassesofA-harmonicfunctionsinCarnotgroups,
CraigA.Nolder.............................................................. 885
Asymptoticbehaviorinstochasticfunctionaldifferentialequationsofneutraltype,
ZephyrinusC.Okonkwo ...................................................... 895