Results 1 to 10 of about 5,158,783 (295)
Z-transform solution for nonlinear difference equations
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
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
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
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
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
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]
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
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
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
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

