Results 1 to 10 of about 42 (27)
Advances in Differential Equations, 2013 In this paper we develop the spectral theory for discrete symplectic systems with general jointly varying endpoints. This theory includes a characterization of the eigenvalues, construction of the M-lambda function and Weyl disks, their matrix radii and ...
Roman Šimon Hilscher, P. Zemánek
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An application on the second-order generalized difference equations
Advances in Differential Equations, 2013 In this paper, we study the solutions of the second-order generalized difference equation having the form of 1Δℓ2u(k)+f(k,u(k))=0,k∈[a,∞),a>0,ℓ∈(0,∞), where Δℓu(k)=u(k+ℓ)−u(k).
M. M. Manuel +4 more
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Criticality theory for Schrödinger operators on graphs
Journal of Spectral Theory, 2017 We study Schrödinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schrödinger operators on general weighted graphs. Mathematics Subject Classification (2010).
M. Keller +2 more
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On the solutions of second order generalized difference equations
Advances in Differential Equations, 2012 In this article, the authors discuss ℓ2(ℓ) and c0(ℓ) solutions of the second order generalized difference equation Δℓ2u(k)+f(k,u(k))=0,k∈[a,∞),a>0 and we prove the condition for non existence of non-trivial solution where Δℓu(k)=u(k+ℓ)−u(k) for ℓ>0 ...
M. M. Manuel +4 more
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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 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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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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Almost periodic solutions of difference equations with discrete argument on metric space
, 2014 We obtain conditions for existence of almost periodic solutions of difference equations with discrete argument on metric space.
V. Slyusarchuk
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Some results on absolute continuity for unbounded Jacobi matrices
, 2017 This brief paper presents several results which offer a useful approach for studying the absolute continuity of spectral measures associated with some Jacobi matrix operators.
J. Dombrowski
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The flow approach for waves in networks
, 2012 We present a “non-standard method” to treat wave equations on networks, leading to a transport process on the doubled directed graph. From the node conditions, we derive a flow governed by a certain adjacency matrix which, in particular, builds the ...
Bernd Klöss
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