Solvable three-dimensional system of higher-order nonlinear difference equations

نویسندگان

چکیده

In this work, we indicate three-dimensional system of difference equations xn = ayn?k + dyn?kxn?k?l/?bxn?k?l+?czn?l, yn ?zn?k ?zn?kyn?k?l/??yn?k?l ??xn?l, zn exn?k hxn?kzn?k?l/?fzn?k?l +?g?yn?l , n ? N0, where k and l are positive integers, the parameters a,?b, ?c, d, ?, ??, e, ?f ,?g, h initial values x?j, y?j, z?j j ?1,k+l, non-zero real numbers, can be solved in closed form. addition, obtain explicit formulas for well-defined solutions aforementioned case 1. Also, set undefinable is found. Finally, an application about a given.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Solvable Product-type System of Difference Equations of Second Order

We show that the system of difference equations zn+1 = wa n zb n−1 , wn+1 = zc n wd n−1 , n ∈ N0, where a, b, c, d ∈ Z, and initial values z−1, z0, w−1, w0 ∈ C, is solvable in closed form, and present a method for finding its solutions.

متن کامل

Existence of Periodic Solutions for Higher-order Nonlinear Difference Equations

In this article, we study a higher-order nonlinear difference equation. By using critical point theory, we establish sufficient conditions for the existence of periodic solutions.

متن کامل

Forced oscillation of higher order nonlinear difference equations

This paper considers the oscillation problem for forced nonlinear difference equations of the form 0096-3 doi:10 * Co E-m Dxn þ qnf ðxn sÞ 1⁄4 en: We study three cases: qn P 0, qn < 0 and qn is oscillatory. No restriction assumed in known literatures is imposed on the forcing term en. 2006 Elsevier Inc. All rights reserved.

متن کامل

General Permanence Conditions for Nonlinear Difference Equations of Higher Order

w . m w . w . where f : 0, ` a 0, ` and the initial values x , . . . , x g 0, ` . 0 1ym Ž . In studying the global behavior of the solutions of Eq. 1 , we often need Ž . to establish that 1 is permanent, i.e., it has the property that every one of its solutions is eventually confined within a fixed compact interval regardless of the initial values chosen. Permanence is needed directly or indire...

متن کامل

Solvable Three-Dimensional Product-Type System of Difference Equations with Multipliers

The solvability of the following three-dimensional product-type system of difference equations xn+1 = αya nz b n−1, yn+1 = βz c nx d n−1, zn+1 = γx f ny g n−1, n ∈ N0, where a, b, c, d, f , g ∈ Z, α, β, γ ∈ C \ {0} and x−i, y−i, z−i ∈ C \ {0}, i ∈ {0, 1}, is shown. This is the first three-dimensional system of the type with multipliers for which formulas are presented for their solutions in clo...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Filomat

سال: 2022

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2210449k