Results 281 to 290 of about 799,624 (312)

Semigroups of difference operators in spectral analysis of linear differential operators

Functional Analysis and Its Applications, 1996
Let \(U\) denote a family of evolution operators for the equation \(x(t)= A(t)x(t)\), \(t\in\mathbb{R}\), where \(A(t): D(A(t))\subset X\to X\) is a family of closed linear operators that generate a correct Cauchy problem; \(X\) is a complex Banach space.
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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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Linear difference and differential operators with unbounded operator coefficients in weight spaces

Mathematical Notes, 2009
Let \(X\) be a complex Banach algebra, \(B(X)\) the set of all bounded linear operators on \(X\), \(\alpha : \mathbb{Z}_+ \to (0, \infty)\) a weight function, \(\ell_{\alpha}^p\) the Banach space of sequences \(x : \mathbb{Z}_+ \to X\) from \(X\), summable with weight \(\alpha\), \(\|x\| = \|x\|_{p,\alpha} = (\sum_{n\geq 0}(\|x(n)\|/ \alpha (n))^p)^{1 ...
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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 difference operators. I

1997
The author studies spectral properties of a linear operator \(Lu\) acting in a Banach space of vector functions, defined on the semiaxis, with the domain \(D(Lu)\subset L_p\to L_p\), \(p\in[1,\infty]\). He proves that \(Lu\) is the infinitesimal generator of a strongly continuous semigroup of operators from the Banach algebra \(\text{End} L_p ...
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Sequence Spaces and Spectrum of q-Difference Operator of Second Order

Symmetry, 2022
Abdullah M Alotaibi, Taja Yaying, Syed Abdul Mohiuddine   +2 more
exaly  

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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Scattering for linear difference operators

2015
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Hahn Difference Operator and Associated Jackson–Nörlund Integrals

Journal of Optimization Theory and Applications, 2012
Mahmoud Annaby
exaly  

Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

SIAM Journal on Numerical Analysis, 2012
Weizhu Bao, Yongyong Cai
exaly