Results 21 to 30 of about 301 (55)
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
semanticscholar +2 more sources
, 2016 We demonstrate that some recent results regarding the connection between the convexity of the map t → f (t) and the sign of Δa f (t) , with 2 < ν < 3 , can be improved.
C. Goodrich
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Some new integral inequalities on time scales
Mathematical Inequalities & Applications, 2019 In this paper, we establish some generalizations of inequalities on time scales, which have appeared in different articles. The inequalities that we will derive from our results when g(t) = t are essentially new. Mathematics subject classification (2010):
Feifei Du, Wei Hu, L. Erbe, A. Peterson
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Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients
Open Mathematics, 2018 In this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu ...
Encinas A.M., Jiménez M.J.
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On indefinite sums weighted by periodic sequences [PDF]
, 2019 For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$.
Marichal, Jean-Luc
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Dispersion Estimates for One-dimensional Discrete Schr\"odinger and Wave Equations [PDF]
, 2015 We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Schr\"odinger and wave equations. In particular, we improve upon previous works and weaken the conditions on the potentials.
Egorova, Iryna +2 more
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Defect indices of singular symmetric linear difference equations with complex coefficients
Advances in Differential Equations, 2012 This article is concerned with the defect indices of singular symmetric linear difference equations of order 2n with complex coefficients and one singular endpoint.
Guojing Ren
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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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Linear difference equations, frieze patterns, and the combinatorial Gale transform
Forum of Mathematics, Sigma, 2014 We study the space of linear difference equations with periodic coefficients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points in ...
SOPHIE MORIER-GENOUD +3 more
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Reconstructing Jacobi Matrices from Three Spectra
, 2002 Cut a Jacobi matrix into two pieces by removing the n-th column and n-th row. We give neccessary and sufficient conditions for the spectra of the original matrix plus the spectra of the two submatrices to uniqely determine the original matrix. Our result
B Simon +8 more
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