Results 1 to 10 of about 166,195,107 (213)

The Periodic Solutions of a Class of Difference Equations

Journal of Mathematics, 2022
In this paper, we study the periodic solutions of a class of difference equations and give a necessary and sufficient condition under which the nonnegative solutions of the equation converge to a 2k-periodic solution by using relevant theoretical ...
Qi Wang, Weiling You, Gengrong Zhang
doaj   +3 more sources

(N,λ)-periodic solutions to abstract difference equations of convolution type

Journal of Mathematical Analysis and Applications
This work primarily focuses on (N, λ)-periodic sequences and their applications. To begin, we provide a brief overview of (N, λ)-periodic sequences and introduce several results.
Stiven Diaz, Edgardo Alvarez, Silvia Rueda   +2 more
exaly   +3 more sources

Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms

Mathematical notes of NEFU, 2023
We consider a class of systems of difference equations with time-varying delay and periodic coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rates of ...
I. Matveeva, A. V. Khmil’
semanticscholar   +1 more source

Generalized almost periodic solutions of Volterra difference equations

Malaya Journal of Matematik, 2023
In this paper, we investigate several new classes of generalized $\rho$-almost periodic sequences in the multi-dimensional setting. We specifically analyze the class of Levitan $\rho$-almost periodic sequences and the class of remotely $\rho$-almost ...
M. Kostić, H. Koyuncuoğlu
semanticscholar   +1 more source

Periodic solutions of nonlinear second-order difference equations

Advances 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 c≠0 and f:ℝ→ℝ is continuous.
Debra Lynn Etheridge, Jesús Rodriguez   +1 more
doaj   +2 more sources

ON PERIODIC SOLUTIONS OF SYSTEM OF GENERALIZED RATIONAL DIFFERENCE EQUATIONS

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2023
In this article, the authors establish periodic solutions for system of generalized rational difference equations (GRDE) with nonzero initial conditions. Additionally, we discussed the sensitivity of the GRDE’s generic kl variables.
Rajiniganth Pandurangan, A. T, Oyedepo T, Oluwayemi Matthew Olanrewaju   +3 more
semanticscholar   +1 more source

The Form of Solutions and Periodic Nature for Some System of Difference Equations

Fundamental Journal of Mathematics and Applications, 2022
In this paper we study the form of the solution of the following systems of difference equations of order two xn+1 = (x_{n}*y{n−1})/(x_{n}+y_{n-1}) , yn+1 =( y_{n}*x_{n-1})/(\pm y_{n} \pm x_{n-1}) with nonzero real numbers initial conditions.
E. Elsayed, J. AL-Juaid
semanticscholar   +1 more source

Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument

Journal of Harbin University of Science and Technology, 2019
Almost periodic solutions of differential equations are more general than periodic solutions, so almost periodic solutions will be studied on a class secondorder differential equations with piecewise constant argument.
YAO Hui-li, ZHANG Yue-jiao, HOU Sheng-nan   +2 more
doaj   +1 more source

Bohr/Levitan almost periodic and almost automorphic solutions of monotone difference equations with a strict monotone first integral

Journal of difference equations and applications (Print), 2022
The paper is dedicated to the study of problem of Poisson stability (in particular, periodicity, quasi-periodicity, Bohr almost periodicity, almost automorphy, Levitan almost periodicity, pseudo-periodicity, almost recurrence in the sense of Bebutov ...
D. Cheban
semanticscholar   +1 more source

Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay

Advances in Difference Equations, 2007
For periodic and almost periodic functional difference equations with finite delay, the existence of periodic and almost periodic solutions is obtained by using stability properties of a bounded solution.
Yihong Song
doaj   +2 more sources