Results 61 to 70 of about 546 (157)

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

A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2455-2463, 2003., 2003
A kth‐order linear difference equation with constant coefficients subject to boundary conditions is considered. A necessary and sufficient condition for the existence of a unique solution for such a boundary value problem is established. The condition established answers a fundamental question for well‐posedness and can be easily applied using a simple
Raghib Abu-Saris, Wajdi Ahmad
wiley   +1 more source

Неявне лiнiйне неоднорiдне рiзницеве рiвняння над Z з випадковою правою частиною

open access: yes, 2022
Mathematical Subject Classification 2010: 39A06, 39A10, 39A50Let {fn}∞ n=0 be a sequence of independent identically distributed integer valued random variables which are defined on a probability space (Ω, F, P).
Gefter, Sergiy L., Piven’, A. L.
core   +2 more sources

SOLVING DIFFERENCE EQUATIONS IN SEQUENCES: UNIVERSALITY AND UNDECIDABILITY

open access: yesForum of Mathematics, Sigma, 2020
We study solutions of difference equations in the rings of sequences and, more generally, solutions of equations with a monoid action in the ring of sequences indexed by the monoid. This framework includes, for example, difference equations on grids (for
GLEB POGUDIN   +2 more
doaj   +1 more source

Global attractivity in a genotype selection model

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 537-544, 2002., 2002
We obtain a sufficient condition for the global attractivity of the genotype selection model yn+1=yneβn(12−yn−k)/(1−yn+yneβn(12−yn−k)), n ∈ ℕ. Our results improve the results established by Grove et al. (1994) and Kocić and Ladas (1993).
Xiaoping Li
wiley   +1 more source

Henstock-Kurzweil integrals on time scales [PDF]

open access: yes, 2008
A definition for a version of the Henstock-Kurzweil integral on time scales is given using covering arguments. The integral is shown to be expressible, in some situations, as an ordinary integral in the Newton, the Lebesgue, and Henstock-Kurzweil senses.
Brian S Thomson
core  

Oscillation and nonoscillation criteria for second order difference equations with generalized difference operators

open access: yes, 2021
In this study we investigate some new oscillation and nonoscillationcriteria and generalize and improve some results in the literaturesfor second order nonlinear difference equation with generalized difference operators of the form¢l;a(pn¢l;axn)
Nurettin DOGAN; Department of Computer Engineering, Faculty of Technology Selcuk University, Konya   +1 more
core  

Characterization of the Dᵂ-Laguerre-Hahn functionals [PDF]

open access: yes, 2002
29 pages, no figures.-- MSC2000 codes: 33C45, 39A10.MR#: MR1914598 (2003e:33021)Zbl#: Zbl 1021.33007We give some characterization theorems for the DᵂLaguerre-Hahn linear functionals and we extend the concept of the class of the usual Laguerre-Hahn ...
Foupouagnigni, M.   +4 more
core   +1 more source

A new result for entire functions and their shifts with two shared values

open access: yesOpen Mathematics
Let ff be a transcendental entire function of hyperorder strictly less than 1, and let cc be a nonzero finite complex number. We prove that if f(z)f\left(z) and f(z+c)f\left(z+c) partially share 0, 1 ignoring multiplicity (i.e., E¯(0,f(z))⊆E¯(0,f(z+c ...
Xu Aizhu, Lin Peiqiang, Chen Shengjiang
doaj   +1 more source

On the Topological Nature of the Stable Sets Associated to the Second Invariant of the Order $q$ Standard Lyness’ Equation

open access: yesSarajevo Journal of Mathematics
We prove a conjecture asserted in a previous paper (see [2]) about order $q$ Lyness difference equation in ${\mathbb R}_*^+$:$u_{n+q}\,u_n=a+u_{n+q-1}+{\dots}+u_{n+1}$, with $a>0$.
G. Bastien, M. Rogalski
semanticscholar   +1 more source

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