We consider the maximal dissipative second-order difference (or discrete Sturm-Liouville) operators acting in the Hilbert space 2 ( ) ( : = { 0 , ± 1 , ± 2 , … } ), that is, the extensions of a minimal symmetric operator with defect index ( 2 , 2 ) (in the Weyl-Hamburger ...
A space of boundary values is constructed for a minimal symmetric second-order difference operator with matrix coefficients on the whole-line. A description of all maximal dissipative, maximal accretive, self-adjoint and other extensions of such operators is given in terms of boundary conditions at ...
1) non-uniform second order difference operator 非均匀2阶差分算子 2) non-uniform correction operator 非均匀修正算子 1. After analyzing the reasons for the unfairness of combined subdivision surface,we developed a non-uniform second-order difference operator and anon-uniform correction operatoron the ...
1) second-difference operator 二阶微分算子 2) para second order differential operator 仿二阶微分算子 1. This paper definespara second order differential operatorand discusses the convexity criteria of function. 本文通过引入函数类上的仿二阶微分算子,研究函数凸性的判别,对文献[2]的一定理条件进行减弱。
In this paper, the authors consider the spectra of second-order left-definite difference operator with linear spectral parameters in two boundary conditions. First, they obtain the exact number of this kind of eigenvalue problem, and prove these eigenvalues are all real and simple. In details, ...
We study existence and asymptotic behavior of a bounded solution of the following Tikhonov regularized second-order difference equation ( ): where, A is a multivalued maximal monotone operator defined on a Hilbert space and are positive real parameters. We first prove under condition existence of ...
Relations between Limit-Point and Dirichlet Properties of Second-Order Difference Operators We consider second-order difference expressions, with complex coefficients, of the form wn'1['"(pn'1"xn'1)+qnxn] acting on infinite sequences. The discrete... Delil,A. - 《Advances in Difference Equati...
This paper definespara second order differential operatorand discusses the convexity criteria of function. 本文通过引入函数类上的仿二阶微分算子,研究函数凸性的判别,对文献[2]的一定理条件进行减弱。 3) second-difference operator 二阶微分算子 4) elliptic partial differential operators of second order ...
2) boundary value problems for second order difference equations 二阶差分方程边值问题 1. Existence of solutions of boundary value problems for second order difference equations under barrier strips conditions; 障碍带条件下二阶差分方程边值问题的可解性 更多例句>> 3) self adjoint eigenvalue ...
A class of second order approximations, called the weighted and shifted Grünwald difference (WSGD) operators, are proposed for Riemann-Liouville fractional derivatives, with their effective applications to numerically solving space fractional diffusion equations in one and two dimensions. The stability and...