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A new eigenvalue problem for the difference operator with nonlocal conditions
Nonlinear Analysis, 2019 In the paper, the spectrum structure of one-dimensional differential operator with nonlocal conditions and of the difference operator, corresponding to it, has been exhaustively investigated.
Mifodijus Sapagovas +3 more
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A Comparison Result for the Nabla Fractional Difference Operator
Foundations, 2023 This article establishes a comparison principle for the nabla fractional difference operator ∇ρ(a)ν ...
Jagan Mohan Jonnalagadda
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Characteristic Classes for Difference Operators [PDF]
Compositio Mathematica, 1999 We introduce and describe the characteristic class of a difference operator over the difference field (k((t)),τ). Here k is an algebraically closed field of characteristic zero and τ is the k-linear automorphism of k((t)) defined by τ(t)=t/(1+t). The approach is based on the characterization of simple difference operators in terms of their eigenvalues.
Levelt, A.H.M., Fahim, A.
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Quantum mechanics with difference operators [PDF]
Reports on Mathematical Physics, 2002 19 pages, LaTeX, using packages: pictex, amssymb; v.2: small corrections, to appear in Rep.
Dobrev, V. K. +2 more
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Computability and the Symmetric Difference Operator
Logic Journal of the IGPL, 2021 Abstract Combinatorial operations on sets are almost never well defined on Turing degrees, a fact so obvious that counterexamples are worth exhibiting. The case we focus on is the symmetric-difference operator; there are pairs of (nonzero) degrees for which the symmetric-difference operation is well defined.
Uri Andrews +4 more
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Open Mathematics, 2023 Let ff be a transcendental entire function of finite order with a Picard exceptional value β∈C\beta \in {\mathbb{C}}, q∈C\{0,1}q\in {\mathbb{C}}\setminus \left\{0,1\right\} and cc are complex constants. The authors prove that Dq,cf(z)−af(z)−a=aa−β,\frac{{
Zhang Xiaomei, Wu Zhaojun
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On the difference between the ‘In’ and ‘According to’ operators
Linguistics and Philosophy, 2023 Semanticists and philosophers of fiction that formulate analyses of reports on the content of media—or ‘contensive statements’—of the form ‘In/According to s, p’, usually treat the ‘In s’-operator (In) and the ‘According to s’-operator (Acc) on a par.
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Chaotic finite difference operators
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation ...
Marina Murillo-Arcila +2 more
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COMPACT DIFFERENCES OF COMPOSITION OPERATORS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractLet ϕ andψbe analytic self-maps of the open unit disk. Each of them induces a composition operator,CϕandCψrespectively, acting between weighted Bergman spaces of infinite order. We show that the differenceCϕ−Cψis compact if and only if both operators are compact or both operators are not compact and the pseudohyperbolic distance of the ...
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Resonances for Difference Operators
Journal of Mathematical Analysis and Applications, 1995 The author shows the existence of resonances for the difference operators \(H\) on \(\ell^2(\mathbb{Z})\), defined by \(D^* D+ V\), where \(D: \varphi(n)\mapsto \varphi(n+ 1)- \varphi(n)\), \(D^*: \varphi(n)\mapsto \varphi(n)- \varphi(n- 1)\), and barrier potential \(V\), multiplication by a real-valued function on \(\mathbb{Z}\), \(\text{supp } V ...
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