Results 11 to 20 of about 53 (53)

Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients

open access: yesOpen 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.
doaj   +1 more source

On Friedrichs-type inequalities in domains rarely perforated along the boundary [PDF]

open access: yes, 2011
This article is devoted to the Friedrichs inequality, where the domain is periodically perforated along the boundary. It is assumed that the functions satisfy homogeneous Neumann boundary conditions on the outer boundary and that they vanish on the ...
Lars-Erik Persson   +5 more
core   +1 more source

Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator

open access: yesOpen Mathematics, 2017
Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions.
Khaleghi Moghadam Mohsen   +1 more
doaj   +1 more source

On unbounded commuting Jacobi operators and some related issues

open access: yesConcrete 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
doaj   +1 more source

Inner products involving differences: The Meixner-Sobolev polynomials [PDF]

open access: yes, 2000
31 pages, no figures.-- MSC2000 codes: 33C45, 33D45, 39A10, 39A70, 42C05.MR#: MR1752153 (2000m:33006)Zbl#: Zbl 0948.33004In this paper, polynomials which are orthogonal with respect to the inner product $$\langle p,q\rangle_S= \sum infty_{s=0} p(s)q(s) {\
Marcellán, Francisco   +3 more
core   +1 more source

Linear difference equations, frieze patterns, and the combinatorial Gale transform

open access: yesForum 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
doaj   +1 more source

The inverse resonance problem for Jacobi operators

open access: yes, 2005
It is proved in this paper that super-exponentially decaying, possibly non-selfadjoint perturbations of the free Jacobi operator are uniquely determined by the location of all their eigenvalues and resonances.
Brown, Brian Malcolm   +2 more
core   +1 more source

On the completely indeterminate case for block Jacobi matrices

open access: yesConcrete 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
doaj   +1 more source

Existence and uniqueness of positive solution for nonlinear difference equations involving p(k)-Laplacian operator

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we deal with the existence of at least one and of at least two positive solutions as well the uniqueness of a positive solution for an anisotropic discrete non-linear problem involving p(k)-Laplacian with Dirichlet boundary value ...
Moghadam Mohsen Khaleghi   +1 more
doaj   +1 more source

Existence, Uniqueness, Stability, and Numerical Solution of Second‐Order Quantum Difference Equations: A General Approach via the Riccati Method and Chebyshev Collocation

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the stability and numerical solution of second‐order linear nonhomogeneous equations with the general quantum B‐difference operator. We prove Hyers–Ulam stability (HU s) and Hyers–Ulam–Rassias stability (HUR s) for these equations using a Riccati equation approach and variation of parameters technique.
Karima M. Oraby   +3 more
wiley   +1 more source

Home - About - Disclaimer - Privacy