Results 51 to 60 of about 131 (124)

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
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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

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
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Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations [PDF]

open access: yes, 2010
2000 Mathematics Subject Classification: 39A10.The oscillatory and nonoscillatory behaviour of solutions of the second order quasi linear neutral delay difference equation Δ(an | Δ(xn+pnxn-τ)|α-1 Δ(xn+pnxn-τ) + qnf(xn-σ)g(Δxn) = 0 where n ∈ N(n0), α > 0,
Pandian, S., Thandapani, E., Revathi, T.
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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   +1 more source

Solvable subclasses of a class of nonlinear second-order difference equations

open access: yesAdvances in Nonlinear Analysis, 2016
We present some solvable subclasses of the class of nonlinear second-order difference equations of the form Axn+1 + Bxn+1xn + Cxnxn-1 + Gxn+1xn-1 + Dxn + Exn-1 + F = 0, n ∈ ℕ0, where the parameters A, B, C, D, E, F, G and the initial values x-1,x0 are ...
Stević Stevo
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

Results on the deficiencies of some differential-difference polynomials of meromorphic functions

open access: yesOpen Mathematics, 2016
In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c).
Zheng Xiu-Min, Xu Hong-Yan
doaj   +1 more source

Basins of Attraction of Period-Two Solutions of Monotone Difference Equations

open access: yes, 2016
We investigate the global character of the difference equation of the form xn+1 = f (xn, xn–1), n = 0,1, . . . with several period-two solutions, where f is increasing in all its variables.
Kulenovic, Mustafa   +5 more
core   +1 more source

On a three-dimensional system of difference equations with variable coefficients [PDF]

open access: yes, 2021
Consider the three-dimensional system of difference equations xn+1 = ∏k j=0 zn−3j ∏k j=1 xn−(3j−1) ( an + bn ∏k j=0 zn−3j ), yn+1 = ∏k j=0 xn−3j ∏k j=1 yn−(3j−1) ( cn + dn ∏k j=0 xn−3j ), zn+1 = ∏k j=0 yn−3j ∏k j=1 zn−(3j−1) ( en +
Nouressadat, Touafek   +3 more
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