共查询到20条相似文献,搜索用时 15 毫秒
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We determine the Green's function for the third-order three-point generalized right focal boundary value problem
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G. O. Balabanyan 《Theoretical and Mathematical Physics》1990,83(2):557-563
Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 83, No. 2, pp. 311–319, May, 1990. 相似文献
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The usual Green's formula connected with the operator of a boundary-value problem fails when both of the solutions u and v
that occur in it have singularities that are too strong at a conic point or at an edge on the boundary of the domain. We deduce
a generalized Green's formula that acquires an additional bilinear form in u and v and is determined by the coefficients in
the expansion of solutions near singularities of the boundary. We obtain improved asymptotic representations of solutions
in a neighborhood of an edge of positive dimension, which together with the generalized Green's formula makes it possible,
for example, to describe the infinite-dimensional kernel of the operator of an elliptic problem in a domain with edge. Bibliography:
14 titles.
Translated fromProblemy Matematicheskogo Analiza, No. 13, 1992, pp. 106–147. 相似文献
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Alexander Yu. Solynin 《Proceedings of the American Mathematical Society》2008,136(3):1019-1021
We answer a question raised by Ahmet Sebbar and Thérèse Falliero (2007) by showing that for every finitely connected planar domain there exists a compact subset , independent of , containing all critical points of Green's function of with pole at .
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A. Kh. Bikulov 《Theoretical and Mathematical Physics》1991,87(3):600-610
V. A. Steklov Mathematics Institute, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 87, No. 3, pp. 376–390, June, 1991 相似文献
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The delta function initial condition solution v*(x,t;y) at x = y ≥ 0 of the generalized Feller equation is used to define a generalized Jacobi Theta function \documentclass{article}\pagestyle{empty}\begin{document}$ \Theta (x,t) = \upsilon *(x,t;0) + 2\sum\limits_{n = 1}^\infty {v*(x,t;y_n)} $\end{document} for a sufficiently rapidly increasing and unbounded positive sequence {yy}. It is shown that Θ(x,t) is analytic in each variable in certain regions of the complex x and t planes and that it is a solution of the generalized Feller equation. For those parameters for which this equation reduces to the heat equation, Θ(x,t) reduces to the third Jacobi Theta function. 相似文献
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一类广义变换半群的格林关系 总被引:1,自引:0,他引:1
设X是一个全序集,E是X上的一个凸等价关系.令
OE(X)={f∈TE(X):Ax,y∈X,x≤y→f(x)≤f(y)),
其中TE(X)是E-保持变换半群.对于取定的θ∈OE(X),在OE(X)上定义运算fog=fθg,使OE(X)成为广义半群OE(X;θ).对于有限全序集X上的凸等价关系E,本文刻画了广义半群OE(X;θ)的正则元,描述了这个半群的格林关系. 相似文献
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G. O. Balabanyan 《Theoretical and Mathematical Physics》1990,82(3):317-328
Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 82, No. 3, pp. 450–465, March, 1990. 相似文献
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G. O. Balabanyan 《Theoretical and Mathematical Physics》1991,86(3):317-326
Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 86, No. 3, pp. 460–473, March, 1991. 相似文献
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Aequationes mathematicae - 相似文献
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Arzu Erdem 《Mathematical Methods in the Applied Sciences》2015,38(7):1393-1404
In this paper, we consider an inverse source problem of identification of F(t) function in the linear parabolic equation ut = uxx + F(t) and u0(x) function as the initial condition from the measured final data and local boundary data. Based on the optimal control framework by Green's function, we construct Fréchet derivative of Tikhonov functional. The stability of the minimizer is established from the necessary condition. The CG algorithm based on the Fréchet derivative is applied to the inverse problem, and results are presented for a test example. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
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John Baillieul 《Aequationes Mathematicae》1971,7(1):22-27
Let? n be the set of all partial functions on ann-element setX n , i.e., the set of all functions whose domain and range are subsets ofX n . Green's equivalence relations?, ?, ? and? are considered, and the number and cardinality of the corresponding equivalence classes are determined. The number of idempotent and generalized idempotent elements in? n is also determined. 相似文献