On a Max-Type Difference Equation

Geli̇şken, Ali̇; Çınar, Cengiz; Yalçınkaya, İbrahim

doi:10.1186/1687-1847-2010-584890

Cited by 6 publications

(5 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, a number of scholars have made further research about equation (1). In 2010, Gelisken et al [14] studied the following max-type difference equation:…”

Section: Introductionmentioning

confidence: 99%

Periodic Solution for a Max-Type Fuzzy Difference Equation

Wang

2020

Journal of Mathematics

View full text Add to dashboard Cite

The paper is concerned with the dynamics behavior of positive solutions for the following max-type fuzzy difference equation system: xn+1=maxA/xn, A/xn−1, xn−2, n=0,1,2,…, where xn is a sequence of positive fuzzy numbers, and the parameter A and the initial conditions x−2, x−1, x0 are also positive fuzzy numbers. Firstly, the fuzzy set theory is used to transform the fuzzy difference equation into the corresponding ordinary difference equations with parameters. Then, the expression for the periodic solution of the max-type ordinary difference equations is obtained by the iteration, the inequality technique, and the mathematical induction. Moreover, we can obtain the expression for the periodic solution of the max-type fuzzy difference equation. In addition, the boundedness and persistence of solutions for the fuzzy difference equation is proved. Finally, the results of this paper are simulated and verified by using MATLAB 2016 software package.

show abstract

“…Recently, a number of scholars have made further research about equation (1). In 2010, Gelisken et al [14] studied the following max-type difference equation:…”

Section: Introductionmentioning

confidence: 99%

Periodic Solution for a Max-Type Fuzzy Difference Equation

Wang

2020

Journal of Mathematics

View full text Add to dashboard Cite

show abstract

“…Moreover, Elsayed and Iričanin extended some result in (regarding Eq. ) by showing every solution of the difference equation

x_{n + 1} = \max ({}, \frac{A_{n}}{x_{n}}, x_{n - 2}) .

Furthermore, one can refer to and the references therein for more similar work.…”

Section: Introductionmentioning

confidence: 99%

“…There has been a huge interest in max-type of nonlinear difference equations or systems in recent years (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], and the references cited therein). This type of difference equations arises naturally from certain models in automatic control theory (see, e.g., [20]).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the solutions of a max‐type difference equation system

Yazlık

Tollu

Taşkara

2015

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

“…For some related works see [29][30][31][32][33][34][35][36][37][38][39]. Our goal in this paper is to investigate the global stability character and the periodicity of solutions of the recursive sequence…”

Section: Introductionmentioning

confidence: 99%