Results 11 to 20 of about 442,508 (305)

Asymptotic iteration method for solving Hahn difference equations. [PDF]

open access: yesAdv Differ Equ, 2021
Hahn’s difference operator Dq;wf(x)=(f(qx + w) – f(x))/((q – 1)x + w), q ∈ (0, 1), w > 0, x = w/(1 – q) is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM).
MacQuarrie L, Saad N, Islam MS.
europepmc   +2 more sources

Dynamics and Solutions of Higher-Order Difference Equations [PDF]

open access: yes, 2023
The invariance method, known as Lie analysis, consists of finding a group of transformations that leave a difference equation invariant. This powerful tool permits one to lower the order, linearize and more importantly, obtain analytical solutions of ...
Mensah Folly-Gbetoula
core   +1 more source

An improvement of two nonstandard finite difference schemes for two population mathematical models [PDF]

open access: yes, 2021
The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations.
Calatayud, Julia, Jornet, Marc
core   +1 more source

Nonlocal Integro-Differential Equations of the Second Order with Degeneration

open access: yesMathematics, 2020
We study the solvability for boundary value problems to some nonlocal second-order integro–differential equations that degenerate by a selected variable.
Aleksandr I. Kozhanov
doaj   +1 more source

Difference equations with impulses [PDF]

open access: yesOpuscula Mathematica, 2019
Difference equations with impulses are studied focussing on the existence of periodic or bounded orbits, asymptotic behavior and chaos. So impulses are used to control the dynamics of the autonomous difference equations.
Marius Danca   +2 more
doaj   +1 more source

Three complex differential-difference equations

open access: yesPartial Differential Equations in Applied Mathematics, 2022
In this paper, we propose three complex differential-difference equations related to the integrable differential-difference equations.
Hasi Gegen, Xing-Biao Hu
doaj   +1 more source

Asymptotic Behavior of Certain Non-Autonomous Planar Competitive Systems of Difference Equations [PDF]

open access: yes, 2023
This paper investigates the dynamics of non-autonomous competitive systems of difference equations with asymptotically constant coefficients. We are mainly interested in global attractivity results for such systems and the application of such results to ...
Susan Trolle   +3 more
core   +1 more source

Limiting Values and Functional and Difference Equations [PDF]

open access: yes, 2020
Boundary behavior of a given important function or its limit values are essential in the whole spectrum of mathematics and science. We consider some tractable cases of limit values in which either a difference of two ingredients or a difference equation ...
Praveen Agarwal   +2 more
core   +1 more source

Characteristics of Conservation Laws for Difference Equations [PDF]

open access: yes, 2013
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE   +3 more
core   +1 more source

Dynamics of a Higher-Order Three-Dimensional Nonlinear System of Difference Equations [PDF]

open access: yes, 2023
In this paper, we study the semi-cycle analysis of positive solutions and the asymptotic behavior of positive solutions of three-dimensional system of difference equations with a higher order under certain parametric conditions.
Fatma E. Mansour   +5 more
core   +1 more source

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