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Wysłany: Nie 11:04, 03 Kwi 2011 Temat postu: UGG Boots Outlet 广义Volterra积 |
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广义Volterra积分方程的解的存在性
uation,whichisaspecialcaseofGVIE(1).(£)=M(£)+lK(£,s)(s,(s))ds,(11)JbwhereK:G×G一(),:G×—.Setf(t,s,):K(t,s)(s,),bytheorem1wehave.Theorem3LetKandsatisfyconditions:98海南大学学报自然科学版2002年(I)F。ranyf∈Gand∈X,(f,·)andarestrongmeasurableonGtI1respec,UGG 激安。·(Ⅱ)Foreach∈Xandt∈Ga.e.,:suDll(f,s)}}<∞and—m(s)≤(s,)≤m(s).G×(11I)Foreachs∈G,(s,)ismonotonenondecreasingwithrespectt。∈X·Thentheequation(11)hasatleastasolution.Next,weconsiderthespecialcaseasfollowing(f)=u(f)+j(f,s)((s))ds,moncler sito ufficiale,where∈C(X,X).Thefollowingtheoremistrue.Theorem4LetKandsatisfyconditions:(h1)Foranyt∈G,K(t,UGG Boots Outlet,·)andarestrongmeasurableonGwithrespectto(h2)Foreach∈Xandt∈Ga.e.,ll1l=sPIl()ll<∞and—m(s)≤K}s,)≤m(s)·(h3)()ismonotonenondecreasing.Thentheequation(12)hasatleastasolution.(12)References:『1]ROKOVA,BAINOVD.Inteequ撕onsandinequalitiesofVoherratypeforfunctionsdefinedinauyode一es[J].JMathAAppl,1987,125:483—507.[2]HUShi—geng.一“pschitzmodu1。andabstractVoherraintegralequati。ns(inChinese)[J].JSysSci&MathSci,1992,12(3):190—206.[3]HUShi—ge,HONGShi—huang.nexisIenceofseluti。[ISofgeneralizedVoherraintegralequati。ns(inChinese)[J]·JMathResearch&Exposition,1995,15(3):403—409.『4]DEIMLINGK.Nonlinearfunctionanalysis[M].Berlin:Springer-Verlag,1985.[5]BEESACKPR.sIemformuhidimensionalVoherraintegralequationsandine(ties[J].JNonlinearAnal,1985,9:1451—1486.广义Volterra积分方程的解的存在性洪世煌(海南大学理工学院,海南海口570228)摘要:考虑了Banach空间中形如(f)=u(f)+j。f(t,s,timberland boots,x(s))ds的广义V。ltem积分方程,并利用强极小锥的性质,获得了以上方程的解的某些存在性结果.关键词:广义Voherra积分方程,columbia sportswear outlet;强极小锥;Banach空间
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