Results 231 to 240 of about 42,824 (260)

On the Operational Solution of Linear Finite Difference Equations

Mathematical Proceedings of the Cambridge Philosophical Society, 1931
The application of the operational method of Oliver Heaviside to the solution of linear differential equations has been fully described in a recent Cambridge Tract by Dr H. Jeffreys.
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Difference schr�dinger operators with linear and exponential discrete spectra

Letters in Mathematical Physics, 1993
Here the authors by using the factorization method, construct finite- difference Schrödinger operators (Jacobi matrices) whose discrete spectra are composed from independent arithmetic, or geometric series. These systems originate from the periodic, or \(q\)-periodic closure of a chain of corresponding Darboux transformations. The Charlier, Krawtchouk,
Spiridonov, Vyacheslav, Vinet, Luc, Zhedanov, Alexei   +2 more
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Certain linear differential operators and generalized differences

Mathematical Notes of the Academy of Sciences of the USSR, 1977
The solution of the problem of finding the quantity 1 $$|\vartriangle \mathop n\nolimits_{v_k }^{\sup } | \leqslant 1 1\begin{array}{*{20}c} {1nf} \\ {(k) = 1/_k } \\ {(k = 0, \pm 1. \pm 2, ...)} \\ \end{array} || /^{(n)} (x)||_C ( - \infty ,\
Sharma, A., Cimbalario, I.
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Linear difference operators and acceleration methods

IMA Journal of Numerical Analysis, 2000
Let \(T:{\mathcal S}\to{\mathcal S}\) be an operator, where \({\mathcal S}\) is the set of all sequences of complex numbers. A numerical method for \((S_n)\in{\mathcal S}\) to calculate \(S_\infty\) is considered to satisfy the relation \(S_n\to S_\infty= a_nD_n\), where \((a_n)\) is unknown and \(D_n\neq 0\), \(n\in\mathbb{N}\), is an error estimate ...
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A note on the operational solution of linear difference equations

Journal of the Franklin Institute, 1958
Abstract The z-transform is applied to the solution of linear difference equations with constant coefficients; boundary conditions are considered in the resulting solutions and certain theorems related to the z-transform are applied to obtain qualitative information about the solution.
Jury, Eliahu I., Mullin, Francis J.
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Difference operation for Pre/Post-emphasis in linear prediction analysis

ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
The relationship between the predictors obtained on differenced data and those on original data is derived for both the covariance method and the auto-correlation method. The physical interpretation of the derived relationship is discussed in connection with spectral enhancement.
Masuzo Yanagida, Osamu Kakusho
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Linear Operators Associated with Differential and Difference Systems: What Is Different?

2020
The existence of a densely defined operator associated with (time-reversed) discrete symplectic systems is discussed and the necessity of the development of the spectral theory for these systems by using linear relations instead of operators is shown. An explanation of this phenomenon is provided by using the time scale calculus.
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Spectral Analysis of Linear Differential Operators and Semigroups of Finite-Difference Operators: II

Differential Equations, 2001
In a previous paper [\textit{A. G. Baskakov}, Differ. Equations 33, 1305-1312 (1997; Zbl 0929.34065)], the author defined two linear operators \(\mathcal L_U\) and \(\mathcal L_V\), on the basis of two strongly continuous families \(\mathcal U\) of backward evolution operators and \(\mathcal V\) of forward evolution operators, respectively, in an ...
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Operator Identities and the Solution of Linear Matrix Difference and Differential Equations

Studies in Applied Mathematics, 1994
We use operator identities in order to solve linear homogeneous matrix difference and differential equations and we obtain several explicit formulas for the exponential and for the powers of a matrix as an example of our methods. Using divided differences we find solutions of some scalar initial value problems and we show how the solution of matrix ...
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Desingularization of linear difference operators with polynomial coefficients

Proceedings of the 1999 international symposium on Symbolic and algebraic computation, 1999
Sergei A. Abramov, Mark van Hoeij
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