Results 1 to 10 of about 5,158,783 (295)

Z-transform solution for nonlinear difference equations

open access: yesAl-Mustansiriyah Journal of Science, 2021
The aim of this paper is to study Z-transform to solve non-linear difference equations, after converting them to linear difference equations by one of the conversion methods.
Eman A. Hussain, Asmaa Salih Jasim
doaj   +2 more sources

Oscillatory behavior of nonlinear Hilfer fractional difference equations

open access: yesAdvances in Difference Equations, 2021
In this paper, we study the oscillation behavior for higher order nonlinear Hilfer fractional difference equations of the type Δ a α , β y ( x ) + f 1 ( x , y ( x + α ) ) = ω ( x ) + f 2 ( x , y ( x + α ) ) , x ∈ N a + n − α , Δ a k − ( n − γ ) y ( x ) |
Tuğba Yalçın Uzun
doaj   +2 more sources

Almost Automorphic Solutions to Nonlinear Difference Equations

open access: yesMathematics, 2023
In the present work, we concentrate on a certain class of nonlinear difference equations and propose sufficient conditions for the existence of their almost automorphic solutions.
Marko Kostić   +2 more
doaj   +1 more source

Meromorphic solutions of certain nonlinear difference equations

open access: yesOpen Mathematics, 2020
This paper focuses on finite-order meromorphic solutions of nonlinear difference equation fn(z)+q(z)eQ(z)Δcf(z)=p(z){f}^{n}(z)+q(z){e}^{Q(z)}{\text{Δ}}_{c}f(z)=p(z), where p,q,Qp,q,Q are polynomials, n≥2n\ge 2 is an integer, and Δcf{\text{Δ}
Liu Huifang, Mao Zhiqiang, Zheng Dan
doaj   +1 more source

Periodic solutions of nonlinear second-order difference equations

open access: yesAdvances in Difference Equations, 2005
We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by (t + 1) + cy(t) = f (y(t)), where f: ℝ → ℝ and β > 0 is continuous. In our main result we
Etheridge Debra Lynn   +1 more
doaj   +2 more sources

Exponential Polynomials and Nonlinear Differential-Difference Equations

open access: yesJournal of Function Spaces, 2020
In this paper, we study finite-order entire solutions of nonlinear differential-difference equations and solve a conjecture proposed by Chen, Gao, and Zhang when the solution is an exponential polynomial.
Junfeng Xu, Jianxun Rong
doaj   +1 more source

Oscillations of nonlinear difference equations with deviating arguments [PDF]

open access: yesMathematica Bohemica, 2018
This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied.
George E. Chatzarakis, Julio G. Dix
doaj   +1 more source

Nonlinear Volterra difference equations in space lp

open access: yesDiscrete Dynamics in Nature and Society, 2004
We consider a class of vector nonlinear discrete-time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.
Michael I. Gil', Rigoberto Medina
doaj   +1 more source

Oscillation theorems for nonlinear fractional difference equations

open access: yesBoundary Value Problems, 2018
In this study, we discuss some theorems related to the oscillatory behavior of nonlinear fractional difference equations equipped with well-known fractional Riemann–Liouville difference operator.
Hakan Adiguzel
doaj   +1 more source

Oscillatory behavior of higher order nonlinear difference equations

open access: yesMathematical Modelling and Analysis, 2020
The authors present some new oscillation criteria for higher order nonlinear difference equations with nonnegative real coefficients of the form   Both of the cases n even and n odd are considered. They give examples to illustrate their results.
Said R. Grace, John R. Graef
doaj   +1 more source

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