Laplace - Fibonacci transform by the solution of second order generalized difference equation
Nonautonomous Dynamical Systems, 2017 The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform
Pinelas Sandra +3 more
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On the completely indeterminate case for block Jacobi matrices
Concrete Operators, 2017 We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal.
Osipov Andrey
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On unbounded commuting Jacobi operators and some related issues
Concrete Operators, 2019 We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
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Asymptotic iteration method for solving Hahn difference equations. [PDF]
Adv Differ Equ, 2021 MacQuarrie L, Saad N, Islam MS.
europepmc +1 more source
On homogeneous second order linear general quantum difference equations. [PDF]
J Inequal Appl, 2017 Faried N, Shehata EM, El Zafarani RM.
europepmc +1 more source
Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials [PDF]
, 2005 We consider discrete one-dimensional Schroedinger operators whose potentials decay asymptotically like an inverse square. In the super-critical case, where there are infinitely many discrete eigenvalues, we compute precise asymptotics of the number of ...
Damanik, David, Teschl, Gerald
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Analysis of the physical Laplacian and the heat flow on a locally finite graph [PDF]
, 2010 We study the physical Laplacian and the corresponding heat flow on an infinite, locally finite graph with possibly unbounded ...
Weber, Andreas
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Path Laplacian operators and superdiffusive processes on graphs. I. One-dimensional case [PDF]
, 2017 We consider a generalization of the diffusion equation on graphs. This generalized diffusion equation gives rise to both normal and superdiffusive processes on infinite one-dimensional graphs.
Estrada, Ernesto +3 more
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Spectral properties of magnetic chain graphs [PDF]
, 2015 We discuss spectral properties of a charged quantum particle confined to a chain graph consisting of an infinite array of rings under influence of a magnetic field assuming a $\delta$-coupling at the points where the rings touch.
Exner, Pavel, Manko, Stepan
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A Cayley-Hamiltonian Theorem for Periodic Finite Band Matrices [PDF]
, 2017 Let K be a doubly infinite, self-adjoint matrix which is finite band (i.e. K_(jk) = 0 if |j – k| > m) and periodic (K S^n = S^n K for some n where (Su)_j = u_(j+1)) and non-degenerate (i.e. K_(jj+m) ≠ = 0 for all j). Then, there is a polynomial, p(x, y),
Simon, Barry
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