Results 51 to 60 of about 546 (157)

On certain comparison theorems for half‐linear dynamic equations on time scales

Abstract and Applied Analysis, Volume 2004, Issue 7, Page 551-565, 2004., 2004
We obtain comparison theorems for the second‐order half‐linear dynamic equation [r(t)Φ(yΔ)]Δ+p(t)Φ(yσ)=0, where Φ(x) = |x|α−1sgn x with α > 1. In particular, it is shown that the nonoscillation of the previous dynamic equation is preserved if we multiply the coefficient p(t) by a suitable function q(t) and lower the exponent α in the nonlinearity Φ ...
Pavel Řehák
wiley   +1 more source

Uncovering Exact Solutions in Rational Difference Systems via Algebraic Transformations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a novel mathematical framework for studying a three‐dimensional system of nonlinear difference equations, aimed at describing the discrete‐time interactions among three interdependent variables. The proposed approach provides a systematic analytical treatment of the model and reveals its underlying dynamical structure.
Ahmed Ghezal, Najmeddine Attia, Smritijit Sen   +2 more
wiley   +1 more source

An analytical method with Padé technique for solving of variational problems

Nonlinear Engineering, 2017
In this paper, the homotopy analysis method (HAM) is employed to solve a class of variational problems (VPs). By using the so-called ħ-curves, we determine the convergence parameter ħ, which plays key role to control convergence of solution series.
Jaffarian H., Sayevand K., Kumar Sunil
doaj   +1 more source

Period-Two Trichotomies of a Difference Equation of Order Higher Than Two

Sarajevo Journal of Mathematics
We investigate the period-two trichotomies of solutions of the equation $$x_{n+1} = f(x_{n}, x_{n-1},x_{n-2}), \quad n=0, 1, \ldots $$ where the function $f$ satisfies certain monotonicity conditions.
Dževad Burgić, S. Kalabuˇsić, M. Kulenović   +2 more
semanticscholar   +1 more source

Accurate solution estimates for vector difference equations

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 48, Page 3059-3066, 2003., 2003
Accurate estimates for the norms of the solutions of a vector difference equation are derived. They give us stability conditions and bounds for the region of attraction of the stationary solution. Our approach is based on estimates for the powers of a constant matrix.
Rigoberto Medina
wiley   +1 more source

The role of prostitution on HIV transmission with memory: A modeling approach

Alexandria Engineering Journal, 2020
HIV is a topic that has been greatly discussed and researched due to its impact on human population. Many campaigns have been put into place, and people have been made aware of the various effects of the disease.
Parvaiz Ahmad Naik, Mehmet Yavuz, Jian Zu   +2 more
doaj   +1 more source

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

On ℬ‐Analog of the Sumudu Transform Associated With the General Quantum ℬ‐Difference Operator

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We present here a B‐analog of the Sumudu transform defined via a general quantum B‐difference operator which generalizes classical difference operators in the context of quantum calculus, is employed to study the proposed problem. We explore the core characteristics of the B‐Sumudu transform and illustrate its applications in solving B‐initial value ...
Karima M. Oraby, Youssri Hassan Youssri, Smritijit Sen   +2 more
wiley   +1 more source

Existence and global stability of positive periodic solutions of a discrete delay competition system

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 38, Page 2401-2413, 2003., 2003
The existence and the global stability of positive periodic solutions of a discrete competition model is studied. The model incorporates time delays and allows for a fluctuating environment. By means of some standard procedures of the topological degree method and the construction of a suitable Lyapunov function, sufficient conditions are obtained to ...
Hai-Feng Huo, Wan-Tong Li
wiley   +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,\
Dževad Burgić, Z. Nurkanović
semanticscholar   +1 more source