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41.
Boumedine Chentouf Aissa Guesmia 《Mathematical Methods in the Applied Sciences》2019,42(13):4584-4605
This paper is concerned with the asymptotic behavior analysis of solutions to a multidimensional wave equation. Assuming that there is no displacement term in the system and taking into consideration the presence of distributed or discrete time delay, we show that the solutions exponentially converge to their stationary state. The proof mainly consists in utilizing the resolvent method. The approach adopted in this work is also used to other physical systems. 相似文献
42.
We consider the boundary value problems in a quarter-plane for a loaded heat conduction operator (one-dimensional in the space variable). A peculiarity of the operator in question is as follows: first, the spectral parameter is the coefficient of the loaded summand; second, the order of the derivative in the loaded summand is equal to that of the differential part of the operator, and third, the load point moves with a variable velocity. We demonstrate that the boundary value problem under study is Noetherian. 相似文献
43.
Enrico Casadio Tarabusi Alessandro Figà -Talamanca 《Proceedings of the American Mathematical Society》2007,135(7):2165-2175
We determine the spectrum and the resolvent operator of a drifted Laplace operator on a homogeneous tree, obtaining qualitatively different results according to the sign of the drift in the direction of a boundary point.
44.
IIntroductlonLet fi be a bounded open set In the n-dimensional Euclldean space R”withtheboundaryo0.In this paper,we shallessentiallydeal with thefollowingeigenvalue problem:,nD 一)。o…4km)螂川川J”人川川,x〔u,丸 人k=1\“’“)llillj=U.U b UI[。where丸 meanso/axj,and we suPPose that coeaclents aj。(x),J;k= 1,2;…,。satisfy the following conditions:(1)aj。(x)is real function and belong to Cm(R”);(2)There exists an M>0;such that Iajk(x)l<M;;;k二 1,2,…,n;148 Ann ofDiff Eqs Vol… 相似文献
45.
张寄洲 《数学物理学报(A辑)》2005,25(1):27-34
设K∈C(R+)和B是一个有界线性算子.作者证明如果犃生成一个指数有界的A正则预解算子族,那么BA,AB或A(I+B),(I+B)A也生成一个指数有界的k-正则预解算子族.此外,作者也给出了k正则预解算子族的加法扰动的相应结果. 相似文献
46.
Zhao Dong 《中国科学A辑(英文版)》1997,40(9):897-908
LetE be a Hausdorff topological space and let β(E) be its Borel σ-field. Letm be a σ-finite measure on (E, β(E)). A necessary and sufficient condition for a Markov resolvent onL
P
(E,m) to be associated with anm-tightm-special standard process (with state spaceE) is given. Furthermore some new examples which do not belong to the framework of Dirichlet space are also given.
Project supported by the Youth Foundation of Chinese Academy of Sciences. 相似文献
47.
We present the structure of the resolvent of a difference kernel, which allows us to study the asymptotic behavior of the
solution of the renewal equation for a given asymptotic behavior of the constant term. An asymptotic representation for the
resolvent is obtained under minimal requirements on the moments of the kernel. Similar results are given for integro-differential
equations.
Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 88–94, July, 1997.
Translated by M. A. Shishkova 相似文献
48.
We show that under perturbations by a rank-one typical operator, a fixed eigenvalue loses one Jordan block of maximal order, while the orders of the other Jordan blocks remain unchanged. We construct the first-order perturbation theory for the new eigenvalues and the zero-order approximations to the corresponding eigenvectors. 相似文献
49.
R. Syski 《Stochastic Processes and their Applications》1977,5(2):93-129
A Markov chain (with a discrete state space and a continuous parameter) is perturbed by forcing a chain to return to “permissible” states whenever it happens to enter “forbidden” states, with returns governed by a replacement distribution.The compensation method is employed to obtain the distribution for the modified chain, in terms of the original chain and the perturbation mechanism.Emphasis is placed on ergodic chains, and interpretation of results in terms of perturbation theory of semi-groups and the ergodic potential theory (based on the fundamental matrix of a chain) is mentioned. 相似文献
50.