Results 21 to 30 of about 56 (55)

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

Journal 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, Amna Mohamed, Youssri Hassan Youssri, Smritijit Sen   +3 more
wiley   +1 more source

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

Analele 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, Wieteska Renata   +1 more
doaj   +1 more source

Spectral properties of generalized eigenparameter dependent discrete Sturm-Liouville type equation

, 2017
Let L denote the non-selfadjoint difference operator of second order with boundary condition generated in ℓ2 (ℕ) byan-1yn-1 + bnyn + anyn+1 = λyn ; n ∈ ℕ;   (0.1)pΣk=0 (y1γk + y0βk) λk = 0;                    (0.2)where {an} n∈ℕ and {bn} n∈ℕ are complex ...
Mohapatra, R. N., Koprubasi, Turhan, Mohapatra, R.N., Koprubasi, T, Mohapatra, RN, Koprubasi T., Mohapatra R.N.   +4 more
core   +1 more source

Construction of the spectral expansion for singular β-Sturm-Liouville operators with certain applications

Demonstratio Mathematica
In this paper, we investigate the β −Sturm-Liouville problem within the framework of a generalized quantum difference calculus, which extends Hahn’s difference operator to the half-line.
Koşar Nida Palamut, Koşar Cem
doaj   +1 more source

Higher Order Multi-Series Arising from Generalized Alpha-Difference Equation

, 2015
In this paper, the authors extend the theory and m−series of the generalized difference equation to m(α)−series of its α−difference equation. We also investigate the complete and summation solutions of α-difference equation.
S India, B Govindan, Tamil Nadu, G Britto, Antony Xavier, S U Vasantha Kumar   +5 more
core  

Eigenvalues of discrete Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions

, 2018
We consider the discrete right denite Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions-∇(p(t)Δy(t)) + q(t)y(t) = λr(t)y(t), t ∈ {1, 2, ...
Zhang, Fei, Gao, Chenghua, Li, Xiaolong
core  

Dependency Relations Among the Shifts of a Multivariate Refinable Distribution

, 1998
. Refinable functions are an intrinsic part of subdivision schemes and wavelet constructions. The relevant properties of such functions must usually be determined from their refinement masks.
Rong-qing Jia, R. -q. Jia, Thomas A. Hogan, T. A. Hogan   +3 more
core  

Discrete spectral synthesis [PDF]

Discrete spectral analysis and synthesis study the description of transla- tion invariant function spaces over discrete Abelian groups. The basic building bricks are the exponential monomials. A remarkable result of R. J.
Székelyhidi, László
core  

On the determinacy of complex Jacobi matrices

, 2002
The aim of this paper is to explore to which extend the theory of the Hamburger moment problem for real Jacobi matrices generalizes to the case of complex Jacobi matrices.
B. Beckermann, M. Castro
core  

A study of ∇-discrete fractional calculus operator on the radial Schrodinger equation for some physical potentials

, 2017
The fractional calculus includes concepts of integrals and derivatives of any complex or real order. The fractional calculus is as old as the usual calculus.
Ozturk, Okkes
core