Results 121 to 130 of about 1,127 (130)

Existence Results for Nonoscillatory Solutions of Third Order Nonlinear Neutral Difference Equations

Sarajevo Journal of Mathematics
In this paper the authors consider the third order neutral difference equation\begin{equation*}\Delta ^{3}\left( x_{n}+p_{n}x_{n-k}\right) +q_{n}f\left(x_{n-\ell }\right) =h_{n}\end{equation*}where $\left\{ p_{n}\right\} ,\left\{ q_{n}\right\} ,\left\{h_{
E. Thandapani, R. Karunakaran, I. Arockiasamy   +2 more
semanticscholar   +1 more source

Generalized Quantum Computing K-Fibonacci Sequence

2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG)
In this study, we present a generalized quantum computing Fibonacci sequence derived through a third order quantum k-difference operator and its equations, from which we deduce some algebraic identities, some theorems, and lemmas with Fibonacci numbers ...
Rajiniganth P, Suresh K, A. T, Oyetepo T, Oluwayemi M. O   +4 more
semanticscholar   +1 more source

Fractional Inequalities for Exponentially s-Convex Functions on Time Scales

Journal of Advances in Applied & Computational Mathematics
In this paper, we present new integral inequalities involving exponentially s-convex functions in the second sense on time scales. By utilizing the delta Riemann-Liouville fractional integral and the fractional Taylor formula, we establish upper bounds ...
S. Georgiev, V. Darvish
semanticscholar   +1 more source

QUENCHING PROBLEM FOR TWO DIMENSIONAL CAPUTO TIME-FRACTIONAL REACTION-DIFFUSION EQUATION

, 2020
In this paper, we study the quenching problem for Caputo time-fractional reactiondiffusion equation with a nonlinear reaction term in two dimensional rectangular domain.
S. Subedi, A. Vatsala
semanticscholar   +1 more source

On the difference equation ${ x_{n+1}=\frac{ax_{n}^{2}+bx_{n-1}x_{n-k}}{cx_{n}^{2}+dx_{n-1}x_{n-k}}}$

Sarajevo Journal of Mathematics
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence \begin{equation*}x_{n+1}=\frac{ax_{n}^{2}+bx_{n-1}x_{n-k}}{cx_{n}^{2}+dx_{n-1}x_{n-k}},\;\;\;n=0,1,\dots\end{equation*}where ...
E. Elabbasy, H. El-Metwally, E. Elsayed
semanticscholar   +1 more source

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

Sarajevo 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

An Example of a Globally Asymptotically Stable Anti-monotonic System of Rational Difference Equations in the Plane

Sarajevo Journal of Mathematics
We consider the following system of rational difference equations in the plane: $$\left\{\begin{aligned}%{rcl}x_{n+1} &= \frac{\alpha_1}{A_1+B_1 x_n+ C_1y_n} \\[0.2cm]y_{n+1} &= \frac{\alpha_2}{A_2+B_2 x_n+ C_2y_n}\end{aligned}\right. \, , \quad n=0,1,2,\
Dž Burgić, Z. Nurkanović
semanticscholar   +1 more source

Solvability of Boundary Value Problems for a Class of Third-Order Functional Difference Equations

Sarajevo Journal of Mathematics
Consider the boundary value problems consisting of the functional difference equation$$\Delta^3x(n)=f(n,x(n+2),x(n-\tau_1(n)),\dots,x(n-\tau_m(n))),\;\;n\in[0,T] $$ and the following boundary value conditions\[\begin{cases}x(0)=x(T+3)=x(1)=0,\\x(n)=\psi ...
Yuji Liu
semanticscholar   +1 more source

Positive homoclinic solutions for the discrete $p$-Laplacian with a coercive weight function

Differential and Integral Equations, 2014
We study a p-Laplacian difference equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition.
A. Iannizzotto, Vicentiu D. Rădulescu
semanticscholar   +1 more source

A class of nonlinear perturbed difference equations

, 2018
Tahia Zerizer
semanticscholar   +1 more source