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