Abo-Zeid, R.; Cinar, Cengiz Global behavior of the difference equation \(x_{n+1}=\frac{Ax_{n-1}}{B-Cx_nx_{n-2}}\). (English) Zbl 1413.39027 Bol. Soc. Parana. Mat. (3) 31, No. 1, 43-49 (2013). MSC: 39A30 39A10 PDFBibTeX XMLCite \textit{R. Abo-Zeid} and \textit{C. Cinar}, Bol. Soc. Parana. Mat. (3) 31, No. 1, 43--49 (2013; Zbl 1413.39027) Full Text: Link
Çinar, Cengiz; Mansour, Toufik; Yalçinkaya, İbrahim On the difference equation of higher order. (English) Zbl 1311.39016 Util. Math. 92, 161-166 (2013). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A20 39A30 39A22 PDFBibTeX XMLCite \textit{C. Çinar} et al., Util. Math. 92, 161--166 (2013; Zbl 1311.39016)
Kurbanlı, Abdullah Selçuk; Çinar, Cengiz; Yalçinkaya, İbrahim On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\). (English) Zbl 1217.39024 Math. Comput. Modelling 53, No. 5-6, 1261-1267 (2011). MSC: 39A30 PDFBibTeX XMLCite \textit{A. S. Kurbanlı} et al., Math. Comput. Modelling 53, No. 5--6, 1261--1267 (2011; Zbl 1217.39024) Full Text: DOI
Battaloglu, Nuriye; Cinar, Cengiz; Yalcinkaya, Ibrahim The dynamics of the difference equation \(x_{n+1}=\frac {\alpha x_{n-k}}{\beta +\gamma x^p_{n-(k+1)}}\). (English) Zbl 1249.39010 Ars Comb. 97, 281-288 (2010). MSC: 39A20 39A30 39A21 39A23 PDFBibTeX XMLCite \textit{N. Battaloglu} et al., Ars Comb. 97, 281--288 (2010; Zbl 1249.39010)
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 PDFBibTeX XMLCite \textit{I. Yalcinkaya} et al., Discrete Dyn. Nat. Soc. 2010, Article ID 583230, 13 p. (2010; Zbl 1203.39008) Full Text: DOI
Gelişken, Ali; Çinar, Cengiz; Kurbanli, Abdullah Selçuk On the asymptotic behavior and periodic nature of a difference equation with maximum. (English) Zbl 1189.39020 Comput. Math. Appl. 59, No. 2, 898-902 (2010). MSC: 39A23 39A22 PDFBibTeX XMLCite \textit{A. Gelişken} et al., Comput. Math. Appl. 59, No. 2, 898--902 (2010; Zbl 1189.39020) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Gelisken} et al., Adv. Difference Equ. 2010, Article ID 584890, 6 p. (2010; Zbl 1192.39007) Full Text: DOI EuDML
Yalçinkaya, İbrahim; Çinar, Cengiz On the dynamics of the difference equation \(x_{n+1}=\frac{ax_{n-k}}{b+cx^p_n}\). (English) Zbl 1186.39030 Fasc. Math. 42, 141-148 (2009). Reviewer: Nguyen Van Minh (Carrollton) MSC: 39A30 39A20 39A21 39A22 39A23 PDFBibTeX XMLCite \textit{İ. Yalçinkaya} and \textit{C. Çinar}, Fasc. Math. 42, 141--148 (2009; Zbl 1186.39030)
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 PDFBibTeX XMLCite \textit{A. Gelişken} and \textit{C. Çinar}, Discrete Dyn. Nat. Soc. 2009, Article ID 812674, 5 p. (2009; Zbl 1178.39022) Full Text: DOI
Simsek, Dağistan; Cinar, Cengiz; Yalcinkaya, Ibrahim On the recursive sequence \(x_{n+1}=\frac{x_{n-(5k+9)}}{1+x_{n-4}x_{n-9}\cdots x_{n-(5k+4)}}\). (English) Zbl 1159.39004 Taiwanese J. Math. 12, No. 5, 1087-1099 (2008). Reviewer: Lothar Berg (Rostock) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{D. Simsek} et al., Taiwanese J. Math. 12, No. 5, 1087--1099 (2008; Zbl 1159.39004) Full Text: DOI
Yalcinkaya, Ibrahim; Cinar, Cengiz; Simsek, Dagistan Global asymptotic stability of a system of difference equations. (English) Zbl 1146.39024 Appl. Anal. 87, No. 6, 677-687 (2008). MSC: 39A11 39A10 PDFBibTeX XMLCite \textit{I. Yalcinkaya} et al., Appl. Anal. 87, No. 6, 677--687 (2008; Zbl 1146.39024) Full Text: DOI
Gelisken, Ali; Cinar, Cengiz; Yalcinkaya, Ibrahim On the periodicity of a difference equation with maximum. (English) Zbl 1149.39005 Discrete Dyn. Nat. Soc. 2008, Article ID 820629, 11 p. (2008). MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{A. Gelisken} et al., Discrete Dyn. Nat. Soc. 2008, Article ID 820629, 11 p. (2008; Zbl 1149.39005) Full Text: DOI EuDML
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 PDFBibTeX XMLCite \textit{A. Gelisken} et al., Adv. Difference Equ. 2008, Article ID 651747, 5 p. (2008; Zbl 1149.39004) Full Text: DOI EuDML
Cinar, Cengiz; Karatas, Ramazan; Yalçınkaya, Ibrahim On solutions of the difference equation \(x_{n+1}=x_{n-3}/(-1+x_{n}x_{n-1}x_{n-2}x_{n-3})\). (English) Zbl 1174.39303 Math. Bohem. 132, No. 3, 257-261 (2007). MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{C. Cinar} et al., Math. Bohem. 132, No. 3, 257--261 (2007; Zbl 1174.39303) Full Text: EuDML EMIS
Karatas, Ramazan; Cinar, Cengiz On the solutions of the difference equation \(x_n+1=\frac{ax_{n-(2k+2)}}{-a+\prod^{2k+2}_{i=0}x_{n-i}}\). (English) Zbl 1144.39013 Int. J. Contemp. Math. Sci. 2, No. 29-32, 1505-1509 (2007). Reviewer: B. G. Pachpatte (Aurangabad) MSC: 39A20 39A11 PDFBibTeX XMLCite \textit{R. Karatas} and \textit{C. Cinar}, Int. J. Contemp. Math. Sci. 2, No. 29--32, 1505--1509 (2007; Zbl 1144.39013) Full Text: DOI
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 PDFBibTeX XMLCite \textit{I. Yalçinkaya} et al., Discrete Dyn. Nat. Soc. 2007, Article ID 47264, 10 p. (2007; Zbl 1152.39016) Full Text: DOI
Cinar, Cengiz; Yalcinkaya, Ibrahim On the positive solutions of the difference equation \(x_{n+1}=\max\left\{\frac{A}{x_n^2},\frac{B x_{n-1}}{x_n x_{n-2}^2}\right\}\). (English) Zbl 1157.39302 Int. J. Contemp. Math. Sci. 1, No. 9-12, 489-494 (2006). MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{C. Cinar} and \textit{I. Yalcinkaya}, Int. J. Contemp. Math. Sci. 1, No. 9--12, 489--494 (2006; Zbl 1157.39302) Full Text: DOI
Simsek, Dağıstan; Cinar, Cengiz; Yalcinkaya, Ibrahim On the solutions of the difference equation \(x_{n+1}=\max\left\{\frac{1}{x_{n-1}},x_{n-1}\right\}\). (English) Zbl 1157.39312 Int. J. Contemp. Math. Sci. 1, No. 9-12, 481-487 (2006). MSC: 39A20 PDFBibTeX XMLCite \textit{D. Simsek} et al., Int. J. Contemp. Math. Sci. 1, No. 9--12, 481--487 (2006; Zbl 1157.39312) Full Text: DOI
Simsek, Dağıstan; Cinar, Cengiz; Yalcinkaya, Ibrahim On the recursive sequence \(x_{n+1}=\frac{x_{n-3}}{1+x_{n-1}}\). (English) Zbl 1157.39311 Int. J. Contemp. Math. Sci. 1, No. 9-12, 475-480 (2006). MSC: 39A20 PDFBibTeX XMLCite \textit{D. Simsek} et al., Int. J. Contemp. Math. Sci. 1, No. 9--12, 475--480 (2006; Zbl 1157.39311) Full Text: DOI
Simsek, Dağıstan; Cinar, Cengiz; Karatas, Ramazan; Yalcinkaya, Ibrahim On the recursive sequence \(x_{n+1}=\frac{x_{n-5}}{1+x_{n-1}x_{n-3}}\). (English) Zbl 1116.39005 Int. J. Pure Appl. Math. 28, No. 1, 117-124 (2006). Reviewer: Lothar Berg (Rostock) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{D. Simsek} et al., Int. J. Pure Appl. Math. 28, No. 1, 117--124 (2006; Zbl 1116.39005)
Simsek, Dağıstan; Cinar, Cengiz; Karatas, Ramazan; Yalcinkaya, Ibrahim On the recursive sequence \(x_{n+1}+\frac{x_{n-5}}{1+x_{n-2}}\). (English) Zbl 1105.39013 Int. J. Pure Appl. Math. 27, No. 4, 501-507 (2006). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{D. Simsek} et al., Int. J. Pure Appl. Math. 27, No. 4, 501--507 (2006; Zbl 1105.39013)
Yalcinkaya, Ibrahim; Cinar, Cengiz On the positive solutions of the difference equation system \(x_{n+1}= \frac{1}{z_n}\), \(y_{n+1}= \frac{y_n}{x_n+y_{n-1}}\), \(z_{n+1}= \frac{1}{x_{n-1}}\). (English) Zbl 1094.39014 J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 1, 91-93 (2005). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{I. Yalcinkaya} and \textit{C. Cinar}, J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 1, 91--93 (2005; Zbl 1094.39014)
Yalcinkaya, Ibrahim; Cinar, Cengiz; Karatas, Ramazan On the positive solutions of the difference equation system \(x_{n+1}= \frac {m}{y_n}\), \(y_{n+1}\doteq \frac{py_n}{x_{n-1}y_{n-1}}\). (English) Zbl 1094.39015 J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 2, 135-136 (2005). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{I. Yalcinkaya} et al., J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 2, 135--136 (2005; Zbl 1094.39015)
Atalay, Muhammet; Çinar, Cengiz; Yalçinkaya, İbrahim On the positive solutions of systems of difference equations. (English) Zbl 1087.39006 Int. J. Pure Appl. Math. 24, No. 4, 443-447 (2005). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A11 39A12 39A20 PDFBibTeX XMLCite \textit{M. Atalay} et al., Int. J. Pure Appl. Math. 24, No. 4, 443--447 (2005; Zbl 1087.39006)
Çinar, Cengiz; Stević, Stevo; Yalçinkaya, Ibrahim A note on global asymptotic stability of a family of rational equations. (English) Zbl 1083.39003 Rostocker Math. Kolloq. 59, 41-49 (2005). Reviewer: Wei Nian Li (Binzhou) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{C. Çinar} et al., Rostocker Math. Kolloq. 59, 41--49 (2005; Zbl 1083.39003)
Çinar, Cengiz; Stević, Stevo; Yalçinkaya, Ibrahim On positive solutions of a reciprocal difference equation with minimum. (English) Zbl 1074.39002 J. Appl. Math. Comput. 17, No. 1-2, 307-314 (2005). Reviewer: Oleg Anashkin (Simferopol) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{C. Çinar} et al., J. Appl. Math. Comput. 17, No. 1--2, 307--314 (2005; Zbl 1074.39002) Full Text: DOI
Çinar, Cengiz On the difference equation \(x_{n+1}=\frac {x_{n-1}} {-1+x_{n}x_{n-1}}\). (English) Zbl 1069.39023 Appl. Math. Comput. 158, No. 3, 813-816 (2004). Reviewer: Bogdan Sasu (Timişoara) MSC: 39A20 PDFBibTeX XMLCite \textit{C. Çinar}, Appl. Math. Comput. 158, No. 3, 813--816 (2004; Zbl 1069.39023) Full Text: DOI
Çinar, Cengiz On the solutions of the difference equation \(x_{n+1}=\frac {x_{n-1}} {-1+ax_{n}x_{n-1}}\). (English) Zbl 1069.39022 Appl. Math. Comput. 158, No. 3, 793-797 (2004). Reviewer: Bogdan Sasu (Timişoara) MSC: 39A20 39A11 PDFBibTeX XMLCite \textit{C. Çinar}, Appl. Math. Comput. 158, No. 3, 793--797 (2004; Zbl 1069.39022) Full Text: DOI
Çinar, Cengiz On the positive solutions of the difference equation system \(X_{n+1}=\frac {1} {y_n},\) \(Y_{n+1}=\frac {Y_n} {X_{n-1}Y_{n-1}}\). (English) Zbl 1066.39006 Appl. Math. Comput. 158, No. 2, 303-305 (2004). Reviewer: Samir H. Saker (Mansoura) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{C. Çinar}, Appl. Math. Comput. 158, No. 2, 303--305 (2004; Zbl 1066.39006) Full Text: DOI
Çinar, Cengiz On the positive solutions of the difference equation \(x_{n+1}=\frac {ax_{n-1}} {1+bx_{n}x_{n-1}}\). (English) Zbl 1063.39003 Appl. Math. Comput. 156, No. 2, 587-590 (2004). Reviewer: Alexei Yu. Karlovich (Braga) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{C. Çinar}, Appl. Math. Comput. 156, No. 2, 587--590 (2004; Zbl 1063.39003) Full Text: DOI
Çinar, C. On the periodic cycle of \(x_{n+1}=(a_{n}+b_{n} x_{n})/c_{n} x_{n-1}\). (English) Zbl 1051.39002 Appl. Math. Comput. 150, No. 1, 1-4 (2004). Reviewer: Alberto Cabada (Santiago de Compostela) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{C. Çinar}, Appl. Math. Comput. 150, No. 1, 1--4 (2004; Zbl 1051.39002) Full Text: DOI