共查询到20条相似文献,搜索用时 15 毫秒
1.
In this article, the Haseman boundary value problem (bvp) is discussed for metaanalytic functions with different factors on the unit circumference. Through a series of appropriate transformations, we obtain general expressions for the solution and the condition of solvability for the problem. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
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In this article, we reconsider the mixed boundary value problem on the unit circle for a pair of metaanalytic and analytic functions as in Du and Wang (2008) [9]. By adopting appropriate transformations, we convert the problem into two independent boundary value problems for analytic functions. We then obtain expressions of solution and condition of solvability for the mixed boundary value problem. The forms of the solutions and the condition of solvability here are rather dissimilar to those in Du and Wang (2008) [9]. But the equivalence is established at the end of this article. 相似文献
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A.S.A. Mshimba 《Applicable analysis》2013,92(1-3):87-99
The holomorphic solution φ of the Hilbert boundary value problem Re (a + ib) φ = g on γ in a disk D bounded by the simple closed curve γ has been solved in the space of Hölder-continuously differentiable functions C1, C1,α (D) by many authors. Under the assumptionthat g belongs to the Slobodecky space Ws,p (γ), s = 1 ? 1/p,1 < p < ∞ it is shown here that the problem has a uniquesolution in the Sobolev space W1,p: (D). An a-priori estimate for the norm of in W1 p(D)is given. 相似文献
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Yufeng Wang 《Mathematical Methods in the Applied Sciences》2009,32(11):1415-1427
Under the decomposition of polyanalytic functions, two classes of Hilbert‐type boundary‐value problems of polyanalytic functions with different factors have been discussed, and the explicit expression of solution and the condition of solvability have been obtained. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
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Stability of solutions to Hilbert boundary value problem under perturbation of the boundary curve 总被引:1,自引:0,他引:1
In this paper, the authors discuss the stability of the solutions to Hilbert boundary value problem under perturbation of the unit circle. When the index of this problem is non-negative, by extending Lavrentjev's conformal mapping on a region approximating to a unit disc, we show the solutions are stable under small perturbations. For negative index we give a conception of quasi-solution and discuss its stability correspondingly. 相似文献
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In this paper we study the Riemann and Hilbert problems of k-monogenic functions. By using Euler operator, we transform the boundary value problem of k-monogenic functions into the boundary value problems of monogenic functions. Then by the Almansi-type theorem of k-monogenic functions, we get the solutions of these problems. 相似文献
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Zhanbing Bai 《Applied mathematics and computation》2010,215(12):4191-3640
By the use of the Krasnosel’skii’s fixed point theorem, the existence of one or two positive solutions for the nonlocal fourth-order boundary value problem
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A.S.A. Mshimba 《Applicable analysis》2013,92(1-3):75-86
The solution w to the Hilbert boundary value problem ?w/?z = F(z, w,?w/?z) in D Re(a+ib) w = g on ?D has so far been solved in the space of Holder-continuously differentiable functions C1α(D). It is shown here that theproblem has a unique solution in the more general Sobolev space W1,p (D), 2 < p < ∞, provided that the boundaryfunction g is allowed to belong to the Slobodecky space Ws,p (?D), S = 1 ? 1/P. 相似文献
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In this paper, we study the Rm (m > 0) Riemann boundary value problems for regular functions, harmonic functions and bi-harmonic functions with values in a universal clifford algebra C(Vn,n). By using Plemelj formula, we get the solutions of Rm (m > 0) Riemann boundary value problems for regular functions. Then transforming the Riemann boundary value problems for harmonic functions and bi-harmonic functions into the Riemann boundary value problems for regular functions, we obtain the solutions of Rm (m > 0) Riemann boundary value problems for harmonic functions and bi-harmonic functions. 相似文献
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Irena Rachnkov 《Journal of Mathematical Analysis and Applications》2006,320(2):611-618
We study singular boundary value problems with mixed boundary conditions of the form where , , f is a nonnegative function and satisfies the Carathéodory conditions on . Here, f can have a time singularity at t=0 and/or t=T and a space singularity at x=0 and/or y=0. We present conditions for the existence of solutions positive on [0,T) and having continuous first derivatives on [0,T]. 相似文献
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Fagui Liu 《Journal of Mathematical Analysis and Applications》2009,351(2):595-602
The hyperbolic geometric flow equations is introduced recently by Kong and Liu motivated by Einstein equation and Hamilton Ricci flow. In this paper, we consider the mixed initial boundary value problem for hyperbolic geometric flow, and prove the global existence of classical solutions. The results show that, for any given initial metric on R2 in certain class of metric, one can always choose suitable initial velocity symmetric tensor such that the solutions exist, and the scalar curvature corresponding to the solution metric gij keeps bounded. If the initial velocity tensor does not satisfy the certain conditions, the solutions will blow up at a finite time. Some special explicit solutions to the reduced equation are given. 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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具有Caratheodory函数的四阶边值问题 总被引:1,自引:0,他引:1
利用上下解方法和Schauder不动点定理,讨论了一类具有Caratheodory函数的四阶边值问题,给出了解存在的充要条件。 相似文献
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Nickolai Kosmatov 《Journal of Mathematical Analysis and Applications》2005,309(1):25-36
We apply the fixed point theorem of Avery and Peterson to the nonlinear second-order multi-point boundary value problem
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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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Michael W. Smiley Changbum Chun 《Numerical Methods for Partial Differential Equations》2000,16(2):194-213
The bifurcation function for an elliptic boundary value problem is a vector field B(ω) on R d whose zeros are in a one‐to‐one correspondence with the solutions of the boundary value problem. Finite element approximations of the boundary value problem are shown to give rise to an approximate bifurcation function Bh(ω), which is also a vector field on R d. Estimates of the difference B(ω) − Bh(ω) are derived, and methods for computing Bh(ω) are discussed. © 2000 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 194–213, 2000 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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