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We obtain the radial symmetry of the solution to a partially overdetermined boundary value problem in a convex cone in space forms by using the maximum principle for a suitable subharmonic function P and integral identities. In dimension 2, we prove Serrin-type results for partially overdetermined problems outside a convex cone. Furthermore, we obtain a Rellich identity for an eigenvalue problem with mixed boundary conditions in a cone. 相似文献
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Sharp bounds in terms of the first few binomial moments are found for the probability of a union of events, when the random variable denoting the number of events that occur follows symmetric distribution. Connection between the bounds of this paper and the bounds from a special case of the binomial moment problem of Prekopa (1995) is shown. As a special case, bounds for the probability when the underlying probability distribution is unimodal-symmetric are also found. 相似文献
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鲁世平 《高校应用数学学报(英文版)》2000,15(2):137-142
Abstract. In this paper,a kind of boundary value problems for Volterra functional differential e-quation is studied. 相似文献
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In this article, some mixed boundary value problems (BVPs) on the unit circumference for some pairs of a metaanalytic function and an analytic function are discussed. Using the relationship between metaanalytic function and polyanalytic function, the expression of solution and the condition of solvability for the problem are obtained by reducing the problem to an equivalent system of a Haseman BVP for analytic function and a Hilbert BVP for analytic function. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
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TANGWEIJUN 《高校应用数学学报(英文版)》1997,12(4):427-440
In this paper, a new method of boundary reduction is proposed, which reduces thesteady-state heat transfer equation with radiation. Moreover, a boundary element method is pre-sented for its solution and the error estimates of the numerical approximations are given. 相似文献
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MoJiaqi LinWantao 《高校应用数学学报(英文版)》2005,20(2):159-164
The singularly perturbed boundary value problem for the nonlinear boundary conditions is considered. Under suitable conditions,the asymptotic behavior of solution for the original problems is studied by using theory of differential inequalities. 相似文献
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鄢盛勇 《数学的实践与认识》2011,41(15)
用函数论的方法研究了三类超定双曲型方程组的解,即三类多双曲复方程组在一般柱形域上的Riemann-Hilbert边值问题的提法,可解条件,解的表示,唯一性和存在性. 相似文献
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In this paper, the authors study the forward and inverse problems for a fractional boundary value problem with Dirichlet boundary conditions. The existence and uniqueness of solutions for the forward problem is first proved. Then an inverse source problem is considered. 相似文献
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Zhi-Qing Han 《Journal of Mathematical Analysis and Applications》2004,290(1):21-34
We investigate the existence of solutions of a nonlinear elliptic boundary value problem at resonance. Under the condition that the associated linear boundary value problem has no sign-changing solution or nontrivial solution and some other additional conditions, we prove the existence of solutions or nontrivial (even multiple) solutions to the nonlinear problem. Thus the existence of solutions can be obtained when the nonlinearity may cross any finite number of eigenvalues of the linear problem. 相似文献
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G. G. Sahakyan 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2008,43(2):104-107
A theorem is proved on oscillation of the components of the eigenvector-functions of a boundary value problem for the canonical one-dimensional Dirac system. 相似文献
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A Dirichlet problem for polyharmonic functions 总被引:1,自引:0,他引:1
In this article, the Dirichlet problem of polyharmonic functions is considered. As well the explicit expression of the unique
solution to the simple Dirichlet problem for polyharmonic functions is obtained by using the decomposition of polyharmonic
functions and turning the problem into an equivalent Riemann boundary value problem for polyanalytic functions, as the approach
to find the kernel functions of the solution for the general Dirichlet problem is given.
Project supported by NNSF of China. 相似文献
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Irena Rach?nková Svatoslav Staněk 《Journal of Mathematical Analysis and Applications》2004,291(2):741-756
The odd-order differential equation (−1)nx(2n+1)=f(t,x,…,x(2n)) together with the Lidstone boundary conditions x(2j)(0)=x(2j)(T)=0, 0?j?n−1, and the next condition x(2n)(0)=0 is discussed. Here f satisfying the local Carathéodory conditions can have singularities at the value zero of all its phase variables. Existence result for the above problem is proved by the general existence principle for singular boundary value problems. 相似文献
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François Bouchon Gunther H. Peichl 《Numerical Methods for Partial Differential Equations》2007,23(2):400-420
A second‐order finite difference scheme for mixed boundary value problems is presented. This scheme does not require the tangential derivative of the Neumann datum. It is designed for applications in which the Neumann condition is available only in discretized form. The second‐order convergence of the scheme is proven and the theory is validated by numerical examples. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 400–420, 2007 相似文献