Results 41 to 50 of about 166,195,107 (213)

On periodic solutions of second-order partial difference equations involving p-Laplacian

Communications in Analysis and Mechanics
By combining variational techniques with the saddle point theorem, we investigate the existence and nonexistence of periodic solutions to second-order partial difference equations involving p-Laplacians.
Dan Li, Y. Long
semanticscholar   +1 more source

Two periodic solutions of neutral difference equations modelling physiological processes

Discrete Dynamics in Nature and Society, 2006
We establish existence, multiplicity, and nonexistence of periodic solutions for a class of first-order neutral difference equations modelling physiological processes and conditions. Our approach is based on a fixed point theorem in cones as well as some
Jun Wu, Yicheng Liu
doaj   +1 more source

On quasi-periodic solutions of forced higher order nonlinear difference equations

Electronic Journal of Qualitative Theory of Differential Equations, 2020
Consider the following higher order difference equation \begin{equation*} x(n+1)= f(n,x(n))+g(n,x(n-k))+b(n), \qquad n=0, 1, \dots \end{equation*} where $f(n,x), g(n,x): \{0, 1, \dots \}\times [0, \infty) \rightarrow [0,\infty)$ are continuous functions
Chuanxi Qian, Justin Smith
doaj   +1 more source

Existence and Nonexistence of Periodic Solutions for a Class of Fourth‐Order Partial Difference Equations

Journal of mathematics
In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth‐order partial difference equation via linking theorem and saddle point theorem.
Dan Li, Y. Long
semanticscholar   +1 more source

Three Positive Periodic Solutions of Nonlinear Functional Difference Equations

Sarajevo Journal of Mathematics
Sufficient conditions for the existence of at least three positive $T$-periodic solutions of the nonlinear functional difference equations are established. An example is presented to illustrate the main results.
Yuji Liu, Xing-Yuan Liu
semanticscholar   +1 more source

Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument

International Journal of Mathematics and Mathematical Sciences, 2015
Existence criteria are derived for the eventually periodic solutions of a class of differential equations with piecewise constant argument whose solutions at consecutive integers satisfy nonlinear recurrence relations. The proof characterizes the initial
James Guyker
doaj   +1 more source

Existence and global attractivity of periodic solutions to some classes of difference equations

Filomat, 2019
Existence and global attractivity of periodic solutions to some subclasses of the following class of difference equations xn+1 = qnxn + f(n,xn, xn-1,..., xn-k), n ? N0, where k ? N0, (qn)n?N0 is a T-periodic sequence (T ? N), and f : N0 x Rk+1 ? R is a
S. Stević, B. Iričanin, W. Kosmala, Z. Šmarda   +3 more
semanticscholar   +1 more source

Almost periodic solutions of difference equations with discrete argument on metric space

, 2014
We obtain conditions for existence of almost periodic solutions of difference equations with discrete argument on metric space.
V. Slyusarchuk
semanticscholar   +1 more source

Existence of positive periodic solutions of higher-order functional difference equations [PDF]

, 2014
summary:Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations.
Liu, Xin-Ge, Tang, Mei-Lan
core   +1 more source

Almost Periodic Solutions to Difference Equations [PDF]

, 2017
A. Bayliss
semanticscholar   +2 more sources