共查询到20条相似文献,搜索用时 109 毫秒
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Zeng Xiaoyun Shi Bao 《Annals of Differential Equations》2005,21(3):507-513
In this paper, we investigate the asymptotic behavior of the extremal solutions of a difference equation and their character and prove the existence of the non-extremal solutions. 相似文献
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1IlltroductionLetri(t),i=1,2,-')nbepositivereal-valuedfunctionsdefinedonNo,whereNo={o,1,2,'.}.Forareal-valuedfunctiQnu(t),tENowedefinetheoperatorbbybu(t)=u(t 1)-u(t)andfori22,b'u(t)=b(A'-'u(t))andtheoperatorsLjaredefinedrecursivelybyLou(t)=u(t),Lju(t)=r… 相似文献
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Yang Shujie Shi Bao Zhang Decun 《Annals of Differential Equations》2006,22(2):204-208
Based on the fixed point theory for a Banach space, asymptotically constant solutions are founded for a second order delay system of difference equation. 相似文献
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本文在Nanach空间中,针对具广泛意义的满足条件(I)和条件(J)的增生映象,首次给出了二阶发展方程及其相应差分近似方程解的强收敛和弱收敛的充分必要条件;同时,对一般m-增生映象也给出了一个差分方程解弱收敛的充分条件,这里所得结论有助于人们对该类问题的整体认识。 相似文献
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Ma Manjun Li Dong 《Annals of Differential Equations》2005,21(4):580-586
In this paper we apply a cone theoretic fixed-point theorem proved by Kras-nosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider the case that the nonlinear term satisfies asymptotically linear growth. 相似文献
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1IntroductionConsideraninitial-boundaryproblellll']oftileforulBylreansoftheforwardilltime-forwal'dillspacefillitedifferellcel-lletllodforcalculatillganapproximatesolutiollIL(nh,jk)=ALeofthisproblelll,weareledtotilefollowingdifferenceschemeoftheformwilerss=k/h.Suchallequationisaparticularcaseoftilefollowillggelleralpartialdifl'erellcewhere{hij},{oil}and{fti}arerealdollblesequellcesdefilledfori,j20.Itisclearthatiftilearegiven,thenwecancalculate'I[lo;till,liZ,o;u129'u21,'u3o;''successivelyill… 相似文献
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一类非线性中立型差分方程解的振动性 总被引:2,自引:0,他引:2
本文我们证明了下列两个差分方程Δ(xn - xn- k)α+ qnf(xn- T) = 0Δ(Δyn- 1)α+ k- αqnf(yn) = 0振动的等价性.其中qn0,k,T为正整数,α为两奇数之商,f∈C(R,R)是非减的并满足xf(x)> 0(x≠0).获得了这些方程振动的一些充分条件. 相似文献
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Dai Binxiang Zhang Na 《Annals of Differential Equations》2007,23(2):136-140
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree,some sufficient conditions are established for the global existence of positive periodic solutions of a class of delayed nonlinear difference equations. 相似文献
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Hui Feng 《计算数学(英文版)》2002,(5)
In this paper we prove that the solution of explicit difference scheme for a class of semilinear parabolic equations converges to the solution of difference schemes for the corresponding nonlinear elliptic equations in H1 norm as t →∞. We get the long time asymptotic behavior of the discrete solutions which is interested in comparing to the case of continuous solutions. 相似文献
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In this paper, we show that, for the three dimensional incompressible magnetohydro-dynamic equations, there exists only trivial backward self-similar solution in L^p(R^3) for p ≥ 3, under some smallness assumption on either the kinetic energy of the self-similar solution related to the velocity field, or the magnetic field. Second, we construct a class of global unique forward self-similar solutions to the three-dimensional MHD equations with small initial data in some sense, being homogeneous of degree -1 and belonging to some Besov space, or the Lorentz space or pseudo-measure space, as motivated by the work in [5]. 相似文献
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1IntroductionConsiderthesecondorderneutralnonlineardifferenceequationwherenEN(no)={no,no 1,'.}(noisanonnegativeinteger),AE{--l,1},AistheforworddifferenceoperatordefinedbyAx.=xu 1--xu.Inrecentyearssthequalitativepropertiesofthesolutionsofsecondorderneutraldifferenceequationswereconsideredinanumberofpapers[1--10].Allthepapersmentioned,however,alwaysassumethatqn50foralllargen.Inthispaperouraimistostudytheasymptoticbehaviorofnonoscillatorysolutionsof(l)whenqn20foralllargen.Byasolutionof(1)weme… 相似文献
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In this paper, meromorphic solutions of Riccati and linear difference equations are investigated. The growth and Borel exceptional values of these solutions are discussed, and the growth, zeros and pol... 相似文献
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高凌云 《数学物理学报(B辑英文版)》2002,22(4)
Using Nevanlinna theory of the value distribution of meromorphic functions, the author investigates the problem of the growth of solutions of two types of algebraic differential equation and obtains some results. 相似文献