Han, Caihong; Su, Guangwang; Li, Lue; Xia, Guoen; Sun, Taixiang Eventual periodicity of the fuzzy max-difference equation \(x_n = \max \{C, \frac{x_{n-m-k}}{x_{n-m}}\}\). (English) Zbl 07535396 Adv. Difference Equ. 2020, Paper No. 673, 10 p. (2020). MSC: 39A26 39A23 PDF BibTeX XML Cite \textit{C. Han} et al., Adv. Difference Equ. 2020, Paper No. 673, 10 p. (2020; Zbl 07535396) Full Text: DOI OpenURL
Sun, Taixiang; Xi, Hongjian; Su, Guangwang; Qin, Bin Dynamics of the fuzzy difference equation \(z_n =\max\{\frac{1}{ z_{n-m}}, \frac{\alpha_n}{z_{n-r}}\}\). (English) Zbl 1438.39018 J. Nonlinear Sci. Appl. 11, No. 4, 477-485 (2018). MSC: 39A26 39A23 PDF BibTeX XML Cite \textit{T. Sun} et al., J. Nonlinear Sci. Appl. 11, No. 4, 477--485 (2018; Zbl 1438.39018) Full Text: DOI OpenURL
Chan, David M.; Kent, Candace M.; Kocić, Vlajko; Stević, Stevo A proposal for an application of a MAX-type difference equation to epilepsy. (English) Zbl 1406.39023 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. ICDDEA, Amadora, Portugal, June 5–9, 2017. Cham: Springer (ISBN 978-3-319-75646-2/hbk; 978-3-319-75647-9/ebook). Springer Proceedings in Mathematics & Statistics 230, 193-210 (2018). MSC: 39A60 39A05 PDF BibTeX XML Cite \textit{D. M. Chan} et al., Springer Proc. Math. Stat. 230, 193--210 (2018; Zbl 1406.39023) Full Text: DOI OpenURL
Wang, Changyou; Jing, Xiaotong; Hu, Xiaohong; Li, Rui On the periodicity of a max-type rational difference equation. (English) Zbl 1412.39007 J. Nonlinear Sci. Appl. 10, No. 9, 4648-4661 (2017). MSC: 39A10 PDF BibTeX XML Cite \textit{C. Wang} et al., J. Nonlinear Sci. Appl. 10, No. 9, 4648--4661 (2017; Zbl 1412.39007) Full Text: DOI OpenURL
Han, Caihong; Li, Lue; Han, Caixiao; Mo, Yugui The dynamical behavior of a system of max-type difference equations model. (English) Zbl 1384.39002 J. Comput. Methods Sci. Eng. 17, No. 3, 545-556 (2017). Reviewer: Fei Xue (Hartford) MSC: 39A10 39A23 PDF BibTeX XML Cite \textit{C. Han} et al., J. Comput. Methods Sci. Eng. 17, No. 3, 545--556 (2017; Zbl 1384.39002) Full Text: DOI OpenURL
Elsayed, E. M. On a max type recursive sequence of order three. (English) Zbl 1389.39012 Miskolc Math. Notes 17, No. 2, 837-859 (2016). MSC: 39A22 39A20 65Q30 PDF BibTeX XML Cite \textit{E. M. Elsayed}, Miskolc Math. Notes 17, No. 2, 837--859 (2016; Zbl 1389.39012) Full Text: DOI OpenURL
Yazlik, Y.; Tollu, D. T.; Taskara, N. On the solutions of a max-type difference equation system. (English) Zbl 1335.39019 Math. Methods Appl. Sci. 38, No. 17, 4388-4410 (2015). MSC: 39A20 39A23 PDF BibTeX XML Cite \textit{Y. Yazlik} et al., Math. Methods Appl. Sci. 38, No. 17, 4388--4410 (2015; Zbl 1335.39019) Full Text: DOI OpenURL
El-Dessoky, M. M. On the periodicity of solutions of max-type difference equation. (English) Zbl 1329.39002 Math. Methods Appl. Sci. 38, No. 15, 3295-3307 (2015). MSC: 39A10 PDF BibTeX XML Cite \textit{M. M. El-Dessoky}, Math. Methods Appl. Sci. 38, No. 15, 3295--3307 (2015; Zbl 1329.39002) Full Text: DOI OpenURL
Stević, Stevo On positive solutions of some classes of max-type systems of difference equations. (English) Zbl 1410.39017 Appl. Math. Comput. 232, 445-452 (2014). MSC: 39A20 39A22 39A30 PDF BibTeX XML Cite \textit{S. Stević}, Appl. Math. Comput. 232, 445--452 (2014; Zbl 1410.39017) Full Text: DOI OpenURL
Sun, Taixiang; He, Qiuli; Wu, Xin; Xi, Hongjian Global behavior of the max-type difference equation \(x_n = \max \{\frac{1}{x_{n - m}}, \frac{A_n}{x_{n - r}}\}\). (English) Zbl 1338.39027 Appl. Math. Comput. 248, 687-692 (2014). MSC: 39A23 PDF BibTeX XML Cite \textit{T. Sun} et al., Appl. Math. Comput. 248, 687--692 (2014; Zbl 1338.39027) Full Text: DOI OpenURL
Stević, Stevo; Alghamdi, Mohammed A.; Alotaibi, Abdullah; Shahzad, Naseer Long-term behavior of positive solutions of a system of max-type difference equations. (English) Zbl 1334.39037 Appl. Math. Comput. 235, 567-574 (2014). MSC: 39A22 39A30 PDF BibTeX XML Cite \textit{S. Stević} et al., Appl. Math. Comput. 235, 567--574 (2014; Zbl 1334.39037) Full Text: DOI OpenURL
Cranston, Daniel W.; Kent, Candace M. On the boundedness of positive solutions of the reciprocal MAX-type difference equation \(x_n=\max\left\{\frac{A_{n-1}^1}{x_{n-1}},\frac{A_{n-1}^2}{x_{n-2}},\cdots,\frac{A_{n-1}^t}{x_{n-t}}\right\}\) with periodic parameters. (English) Zbl 1329.39018 Appl. Math. Comput. 221, 144-151 (2013). MSC: 39A23 PDF BibTeX XML Cite \textit{D. W. Cranston} and \textit{C. M. Kent}, Appl. Math. Comput. 221, 144--151 (2013; Zbl 1329.39018) Full Text: DOI arXiv OpenURL
Xiao, Qian; Shi, Qi-Hong Eventually periodic solutions of a max-type equation. (English) Zbl 1305.39007 Math. Comput. Modelling 57, No. 3-4, 992-996 (2013). MSC: 39A10 PDF BibTeX XML Cite \textit{Q. Xiao} and \textit{Q.-H. Shi}, Math. Comput. Modelling 57, No. 3--4, 992--996 (2013; Zbl 1305.39007) Full Text: DOI OpenURL
Stević, Stevo On a symmetric system of max-type difference equations. (English) Zbl 1291.39029 Appl. Math. Comput. 219, No. 15, 8407-8412 (2013). MSC: 39A20 39A22 39A30 PDF BibTeX XML Cite \textit{S. Stević}, Appl. Math. Comput. 219, No. 15, 8407--8412 (2013; Zbl 1291.39029) Full Text: DOI OpenURL
Shi, Qihong; Su, Xing; Yuan, Guoqiang; Xiao, Qian Characters of the solutions to a generalized nonlinear max-type difference equation. (English) Zbl 1289.39006 Chin. Q. J. Math. 28, No. 2, 284-289 (2013). MSC: 39A10 39A12 39A22 PDF BibTeX XML Cite \textit{Q. Shi} et al., Chin. Q. J. Math. 28, No. 2, 284--289 (2013; Zbl 1289.39006) OpenURL
Iričanin, Bratislav; Stević, Stevo Global attractivity of the max-type difference equation \(x_n=\max\{c,x^p_{n-1}/\prod^k_{j=2}x^{p_j}_{n-j}\}\). (English) Zbl 1294.39004 Util. Math. 91, 301-304 (2013). MSC: 39A20 39A22 39A30 PDF BibTeX XML Cite \textit{B. Iričanin} and \textit{S. Stević}, Util. Math. 91, 301--304 (2013; Zbl 1294.39004) OpenURL
Sun, Taixiang; Xi, Hongjian; Han, Caihong; Qin, Bin Dynamics of the max-type difference equation \({x_n=\max\{\frac{1}{x_{n-m}},\frac{A_n}{x_{n-r}}\}}\). (English) Zbl 1295.39008 J. Appl. Math. Comput. 38, No. 1-2, 173-180 (2012). MSC: 39A20 39A22 39A23 PDF BibTeX XML Cite \textit{T. Sun} et al., J. Appl. Math. Comput. 38, No. 1--2, 173--180 (2012; Zbl 1295.39008) Full Text: DOI OpenURL
Sun, Taixiang; Xi, Hongjian; Qin, Bin Global behavior of the max-type difference equation \(x_{n+1} = \max\left\{\frac{A}{x_{n-m}},\frac{1}{x^\alpha_{n-k}}\right\}\). (English) Zbl 1261.39016 J. Concr. Appl. Math. 10, No. 1-2, 32-39 (2012). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A20 39A22 39A23 PDF BibTeX XML Cite \textit{T. Sun} et al., J. Concr. Appl. Math. 10, No. 1--2, 32--39 (2012; Zbl 1261.39016) OpenURL
Qin, Bin; Sun, Taixiang; Xi, Hongjian Dynamics of the max-type difference equation \(x_{n+1} =\max\left\{\frac{A}{x_n},x_{n-k}\right\}\). (English) Zbl 1261.39015 J. Comput. Anal. Appl. 14, No. 5, 856-861 (2012). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A20 39A23 PDF BibTeX XML Cite \textit{B. Qin} et al., J. Comput. Anal. Appl. 14, No. 5, 856--861 (2012; Zbl 1261.39015) OpenURL
Liu, Wanping; Stević, Stevo Global attractivity of a family of nonautonomous max-type difference equations. (English) Zbl 1246.39009 Appl. Math. Comput. 218, No. 11, 6297-6303 (2012). Reviewer: Lothar Berg (Rostock) MSC: 39A20 39A22 39A30 PDF BibTeX XML Cite \textit{W. Liu} and \textit{S. Stević}, Appl. Math. Comput. 218, No. 11, 6297--6303 (2012; Zbl 1246.39009) Full Text: DOI OpenURL
Yalçınkaya, Ịbrahim On the max-type equation \(x_{n+1} = \max \{1/x_n, A_nx_{n-1}\}\) with a period-two parameter. (English) Zbl 1237.39007 Discrete Dyn. Nat. Soc. 2012, Article ID 327437, 9 p. (2012). MSC: 39A20 PDF BibTeX XML Cite \textit{Ị. Yalçınkaya}, Discrete Dyn. Nat. Soc. 2012, Article ID 327437, 9 p. (2012; Zbl 1237.39007) Full Text: DOI OpenURL
Qin, Bin; Sun, Taixiang; Xi, Hongjian Global behavior of the max-type difference equation \(x_{n}=\max \{\frac{A_1}{x^{\alpha_1}_{n-m\_1}}, \frac{a_2}{x^{\alpha_2}\_{n-m_2}},\dots,\frac{A_k}{x^{\alpha_k}\_{n-m_k}} \}\). (English) Zbl 1250.39009 Int. J. Math. Anal., Ruse 5, No. 37-40, 1859-1865 (2011). Reviewer: Oleg Anashkin (Simferopol) MSC: 39A20 39A22 PDF BibTeX XML Cite \textit{B. Qin} et al., Int. J. Math. Anal., Ruse 5, No. 37--40, 1859--1865 (2011; Zbl 1250.39009) Full Text: Link OpenURL
Liu, Wanping; Yang, Xiaofan; Stević, Stevo On a class of nonautonomous max-type difference equations. (English) Zbl 1223.39007 Abstr. Appl. Anal. 2011, Article ID 436852, 15 p. (2011). MSC: 39A20 39A22 PDF BibTeX XML Cite \textit{W. Liu} et al., Abstr. Appl. Anal. 2011, Article ID 436852, 15 p. (2011; Zbl 1223.39007) Full Text: DOI OpenURL
Stević, Stevo Periodicity of a class of nonautonomous max-type difference equations. (English) Zbl 1225.39018 Appl. Math. Comput. 217, No. 23, 9562-9566 (2011). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A23 39A20 PDF BibTeX XML Cite \textit{S. Stević}, Appl. Math. Comput. 217, No. 23, 9562--9566 (2011; Zbl 1225.39018) Full Text: DOI OpenURL
Sauer, Timothy Global convergence of max-type equations. (English) Zbl 1230.39001 J. Difference Equ. Appl. 17, No. 1-2, 1-8 (2011). Reviewer: Pavel Rehak (Brno) MSC: 39A10 39A30 PDF BibTeX XML Cite \textit{T. Sauer}, J. Difference Equ. Appl. 17, No. 1--2, 1--8 (2011; Zbl 1230.39001) Full Text: DOI Link OpenURL
Stević, Stevo On a nonlinear generalized max-type difference equation. (English) Zbl 1208.39014 J. Math. Anal. Appl. 376, No. 1, 317-328 (2011). Reviewer: Lothar Berg (Rostock) MSC: 39A20 39A10 PDF BibTeX XML Cite \textit{S. Stević}, J. Math. Anal. Appl. 376, No. 1, 317--328 (2011; Zbl 1208.39014) Full Text: DOI OpenURL
Elsayed, E. M.; Iričanin, B.; Stević, S. On the max-type equation \(x_{n+1}=\max \{A_n/x_n,x_{n-1}\}\). (English) Zbl 1249.39011 Ars Comb. 95, 187-192 (2010). MSC: 39A20 39A23 39A22 PDF BibTeX XML Cite \textit{E. M. Elsayed} et al., Ars Comb. 95, 187--192 (2010; Zbl 1249.39011) OpenURL
Yalcinkaya, Ibrahim; Cinar, Cengiz; Gelisken, Ali On the recursive sequence \(x_{n+1} = \max\{x_n,A\}/x_n^2x_{n - 1}\). (English) Zbl 1203.39008 Discrete Dyn. Nat. Soc. 2010, Article ID 583230, 13 p. (2010). MSC: 39A20 39A23 PDF BibTeX XML Cite \textit{I. Yalcinkaya} et al., Discrete Dyn. Nat. Soc. 2010, Article ID 583230, 13 p. (2010; Zbl 1203.39008) Full Text: DOI OpenURL
Gelisken, Ali; Cinar, Cengiz; Yalcinkaya, Ibrahim On a max-type difference equation. (English) Zbl 1192.39007 Adv. Difference Equ. 2010, Article ID 584890, 6 p. (2010). MSC: 39A20 39A22 PDF BibTeX XML Cite \textit{A. Gelisken} et al., Adv. Difference Equ. 2010, Article ID 584890, 6 p. (2010; Zbl 1192.39007) Full Text: DOI EuDML OpenURL
Stević, Stevo Global stability of a max-type difference equation. (English) Zbl 1193.39009 Appl. Math. Comput. 216, No. 1, 354-356 (2010). Reviewer: N. C. Apreutesei (Iaşi) MSC: 39A30 39A20 PDF BibTeX XML Cite \textit{S. Stević}, Appl. Math. Comput. 216, No. 1, 354--356 (2010; Zbl 1193.39009) Full Text: DOI OpenURL
Stević, Stevo On a generalized max-type difference equation from automatic control theory. (English) Zbl 1194.39007 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1841-1849 (2010). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A20 39A22 PDF BibTeX XML Cite \textit{S. Stević}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1841--1849 (2010; Zbl 1194.39007) Full Text: DOI OpenURL
Gelişken, Ali; Çinar, Cengiz On the global attractivity of a max-type difference equation. (English) Zbl 1178.39022 Discrete Dyn. Nat. Soc. 2009, Article ID 812674, 5 p. (2009). MSC: 39A23 39A20 PDF BibTeX XML Cite \textit{A. Gelişken} and \textit{C. Çinar}, Discrete Dyn. Nat. Soc. 2009, Article ID 812674, 5 p. (2009; Zbl 1178.39022) Full Text: DOI OpenURL
Stević, Stevo Boundedness character of two classes of third-order difference equations. (English) Zbl 1182.39012 J. Difference Equ. Appl. 15, No. 11-12, 1193-1209 (2009). Reviewer: M. Serban (Cluj-Napoca) MSC: 39A22 39A20 PDF BibTeX XML Cite \textit{S. Stević}, J. Difference Equ. Appl. 15, No. 11--12, 1193--1209 (2009; Zbl 1182.39012) Full Text: DOI OpenURL
Elsayed, E. M.; Iričanin, Bratislav D. On a max-type and a min-type difference equation. (English) Zbl 1178.39010 Appl. Math. Comput. 215, No. 2, 608-614 (2009). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A20 39A23 PDF BibTeX XML Cite \textit{E. M. Elsayed} and \textit{B. D. Iričanin}, Appl. Math. Comput. 215, No. 2, 608--614 (2009; Zbl 1178.39010) Full Text: DOI OpenURL
Elsayed, E. M.; Stević, Stevo On the max-type equation \(x_{n+1}=\max \{\frac{A}{x_n},x_{n-2}\}\). (English) Zbl 1169.39003 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 910-922 (2009). Reviewer: Lothar Berg (Rostock) MSC: 39A11 39A20 PDF BibTeX XML Cite \textit{E. M. Elsayed} and \textit{S. Stević}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 910--922 (2009; Zbl 1169.39003) Full Text: DOI OpenURL
Stević, Stevo Global stability of a difference equation with maximum. (English) Zbl 1167.39007 Appl. Math. Comput. 210, No. 2, 525-529 (2009). Reviewer: Yuming Chen (Waterloo) MSC: 39A11 39A20 PDF BibTeX XML Cite \textit{S. Stević}, Appl. Math. Comput. 210, No. 2, 525--529 (2009; Zbl 1167.39007) Full Text: DOI OpenURL
Stević, Stevo Boundedness character of a class of difference equations. (English) Zbl 1162.39011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 839-848 (2009). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A22 39A20 39A12 PDF BibTeX XML Cite \textit{S. Stević}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 839--848 (2009; Zbl 1162.39011) Full Text: DOI OpenURL
Stević, Stevo On the recursive sequence \(x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}\). (English) Zbl 1152.39012 Appl. Math. Lett. 21, No. 8, 791-796 (2008). Reviewer: Stefan Balint (Timişoara) MSC: 39A11 PDF BibTeX XML Cite \textit{S. Stević}, Appl. Math. Lett. 21, No. 8, 791--796 (2008; Zbl 1152.39012) Full Text: DOI OpenURL
Gelisken, Ali; Cinar, Cengiz; Karatas, Ramazan A note on the periodicity of the Lyness max equation. (English) Zbl 1149.39004 Adv. Difference Equ. 2008, Article ID 651747, 5 p. (2008). MSC: 39A11 39A20 PDF BibTeX XML Cite \textit{A. Gelisken} et al., Adv. Difference Equ. 2008, Article ID 651747, 5 p. (2008; Zbl 1149.39004) Full Text: DOI EuDML OpenURL
Elabbasy, E. M.; El-Metwally, H.; Elsayed, E. M. Qualitative behavior of some max-type difference equations. (English) Zbl 1154.39005 Vietnam J. Math. 36, No. 1, 47-61 (2008). Reviewer: Stefan Balint (Timişoara) MSC: 39A11 39A20 PDF BibTeX XML Cite \textit{E. M. Elabbasy} et al., Vietnam J. Math. 36, No. 1, 47--61 (2008; Zbl 1154.39005) OpenURL
Kerbert, Christopher P.; Radin, Michael A. Unbounded solutions of the max-type difference equation \(x_{n + 1} = \max\{\frac{A_n}{X_n},\frac{B_n}{X_{n -2}}\}\). (English) Zbl 1154.39007 Cent. Eur. J. Math. 6, No. 2, 307-324 (2008). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 39A11 39A20 PDF BibTeX XML Cite \textit{C. P. Kerbert} and \textit{M. A. Radin}, Cent. Eur. J. Math. 6, No. 2, 307--324 (2008; Zbl 1154.39007) Full Text: DOI OpenURL
Yalçinkaya, I.; Iričanin, B. D.; Çinar, C. On a max-type difference equation. (English) Zbl 1152.39016 Discrete Dyn. Nat. Soc. 2007, Article ID 47264, 10 p. (2007). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A20 PDF BibTeX XML Cite \textit{I. Yalçinkaya} et al., Discrete Dyn. Nat. Soc. 2007, Article ID 47264, 10 p. (2007; Zbl 1152.39016) Full Text: DOI OpenURL
Papaschinopoulos, G.; Schinas, J.; Hatzifilippidis, V. Global behavior of the solutions of a Max-equation and of a system of two Max-equations. (English) Zbl 1034.39008 J. Comput. Anal. Appl. 5, No. 2, 237-254 (2003). Reviewer: Eduardo Liz (Vigo) MSC: 39A11 39A20 PDF BibTeX XML Cite \textit{G. Papaschinopoulos} et al., J. Comput. Anal. Appl. 5, No. 2, 237--254 (2003; Zbl 1034.39008) Full Text: DOI OpenURL