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1.
In this paper it is proved that the index of a Fredholm operator between $p$-adic Banach spaces is preserved under compact perturbations. A case of special interest is provided when the ground field is nonspherically complete. In this case the classical techniques are no longer valid and the relation between the kernels of a Fredholm operator and that of a small compact perturbation turn out to be in general much richer than in the complex context.  相似文献   
2.
We establish an Atiyah–Bott–Lefschetz formula for elliptic operators on manifolds with conical singular points.  相似文献   
3.
A piece wise-homogeneous plane made up of twodifferent materials and reinforced by an elastic unclusion is considered on a semi-finite section where the different materials join. Vertical and horizontal forces are applied to the inclusion which haz a variable thichness and a variable elasticity modulus.Under certain conditions the problem is reduced to integrodifferential equations of third order. The solution is constructed effectively by applying the methods of theory of analytic functions to a boundary value problem of the Carleman type for a strip. Asymptotic estimates of normal contact stress are obtained.  相似文献   
4.
1 边界积分方程及其可解性设Ω是R2中具有光滑边界г的单连通区域,Ω′表示Ω-=Ω г在R2中的补域.考虑如下Laplace方程的Dirichlet问题:  相似文献   
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This paper focuses on easily computable numerical approximations for the distribution and moments of the steadystate waiting times in a stable GI/G/1 queue. The approximation methodology is based on the theory of Fredholm integral equations and involves solving a linear system of equations. Numerical experimentation for various M/G/1 and GI/M/1 queues reveals that the methodology results in estimates for the mean and variance of waiting times within ±1% of the corresponding exact values. Comparisons with competing approaches establish that our methodology is not only more accurate, but also more amenable to obtaining waiting time approximations from the operational data. Approximations are also obtained for the distributions of steadystate idle times and interdeparture times. The approximations presented in this paper are intended to be useful in roughcut analysis and design of manufacturing, telecommunications, and computer systems as well as in the verification of the accuracies of inequalities, bounds, and approximations.  相似文献   
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1.IntroductionQuantitativeprobabilisticanalysiswascarriedoutforseveralnumericalproblems.Forasystematicsurvey,werefertoTraubetal.(1988)andreferencestherein.Smale(1985)gavethefirstquantitativeanalysisforconcretemeasure.Heexpectedthattheapproachtheremightleadtoamoresystematicwayofanalysingforthecostofnumericalalgorithms.Heinrich(1991)continuedthislineandgavethefirstquantitativeanalysisforconcretemeasuresandalgorithmsforintegralequationofthesecondkind.There,theanalysiswascarriedoutfortheGalerkin…  相似文献   
9.
This paper deals with the approximate solution of the Fredholm equation Lu= f of the second kind with f ∈H'(Γ). First, we give the order of the n-the optimal radius in the worst case setting. Then, we show that the Galerkin method using 2n+1 inner products of f has minimal error. Finally, we give the estimate of the ε-complexity of the Fredholm problem of the second kind and Galerkin method in the worst case setting.  相似文献   
10.
In this paper, we prove that a composition operator onH p (B) is Fredholm if and only if it is invertible if and only if its symbol is an automorphism onB, and give the representation of the spectra of a class of composition operators. In addition, using composition operator, we discuss intertwining Toeplitz operators. Supported by NNSF and PDSF  相似文献   
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