Cavalli, F.; Naimzada, A. A multiscale time model with piecewise constant argument for a boundedly rational monopolist. (English) Zbl 1390.91135 J. Difference Equ. Appl. 22, No. 10, 1480-1489 (2016). MSC: 91B24 91A26 37N40 39A60 PDFBibTeX XMLCite \textit{F. Cavalli} and \textit{A. Naimzada}, J. Difference Equ. Appl. 22, No. 10, 1480--1489 (2016; Zbl 1390.91135) Full Text: DOI Link
Zhang, Lichun; Huang, Qingdao; Yang, Yueting; Cai, Shuyun Local stability of two periodic positive solutions of a second order rational nonlinear difference equation. (Chinese. English summary) Zbl 1363.39019 J. Jilin Univ., Sci. 54, No. 3, 451-456 (2016). MSC: 39A23 39A30 39A20 39A22 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Jilin Univ., Sci. 54, No. 3, 451--456 (2016; Zbl 1363.39019) Full Text: DOI
Jia, Xiumei; Li, Yongjun; Xue, Zichen Global asymptotic stability of a second order difference equation. (Chinese. English summary) Zbl 1313.39025 J. Northwest Norm. Univ., Nat. Sci. 50, No. 1, 11-14, 19 (2014). MSC: 39A30 39A23 39A20 PDFBibTeX XMLCite \textit{X. Jia} et al., J. Northwest Norm. Univ., Nat. Sci. 50, No. 1, 11--14, 19 (2014; Zbl 1313.39025)
Fischler, Stéphane; Rivoal, Tanguy On the values of \(G\)-functions. (English) Zbl 1304.11070 Comment. Math. Helv. 89, No. 2, 313-341 (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11J91 33E30 34M35 34M40 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Comment. Math. Helv. 89, No. 2, 313--341 (2014; Zbl 1304.11070) Full Text: DOI arXiv
Tang, Guomei; Liu, Hua Global behavior of a higher order nonlinear difference equation. (English) Zbl 1300.39002 Math. Aeterna 3, No. 9, 739-747 (2013). Reviewer: Fengqin Zhang (Yuncheng) MSC: 39A20 39A23 39A30 PDFBibTeX XMLCite \textit{G. Tang} and \textit{H. Liu}, Math. Æterna 3, No. 9, 739--747 (2013; Zbl 1300.39002)
Meng, Fanwei A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations. (English) Zbl 1275.65035 Abstr. Appl. Anal. 2013, Article ID 810363, 6 p. (2013). MSC: 65L03 34K28 34K31 PDFBibTeX XMLCite \textit{F. Meng}, Abstr. Appl. Anal. 2013, Article ID 810363, 6 p. (2013; Zbl 1275.65035) Full Text: DOI
Atawna, S.; Abu-Saris, R.; Hashim, I.; Ismail, E. S. On the period-two cycles of \(x_{n + 1} = (\alpha + \beta x_n + \gamma x_{n - k})/(A + Bx_n + Cx_{n - k})\). (English) Zbl 1275.39004 Abstr. Appl. Anal. 2013, Article ID 179423, 10 p. (2013). MSC: 39A23 39A20 39A30 PDFBibTeX XMLCite \textit{S. Atawna} et al., Abstr. Appl. Anal. 2013, Article ID 179423, 10 p. (2013; Zbl 1275.39004) Full Text: DOI
Shi, Qihong; Xiao, Qian; Yuan, Guoqiang; Liu, Xiaojun Dynamic behavior of a nonlinear rational difference equation and generalization. (English) Zbl 1271.39011 Adv. Difference Equ. 2011, Paper No. 36, 8 p. (2011). MSC: 39A20 39A22 39A30 PDFBibTeX XMLCite \textit{Q. Shi} et al., Adv. Difference Equ. 2011, Paper No. 36, 8 p. (2011; Zbl 1271.39011) Full Text: DOI
Tang, Bo; He, Yinnian; Wei, Leilei; Wang, Shaoli Variable-coefficient discrete \((\frac{G^{\prime}}{G})\)-expansion method for nonlinear differential-difference equations. (English) Zbl 1252.37062 Phys. Lett., A 375, No. 38, 3355-3361 (2011). MSC: 37K10 41A10 41A20 42A10 35C09 33B10 PDFBibTeX XMLCite \textit{B. Tang} et al., Phys. Lett., A 375, No. 38, 3355--3361 (2011; Zbl 1252.37062) Full Text: DOI
Elsayed, E. M. Solution and attractivity for a rational recursive sequence. (English) Zbl 1252.39008 Discrete Dyn. Nat. Soc. 2011, Article ID 982309, 17 p. (2011). MSC: 39A20 39A30 PDFBibTeX XMLCite \textit{E. M. Elsayed}, Discrete Dyn. Nat. Soc. 2011, Article ID 982309, 17 p. (2011; Zbl 1252.39008) Full Text: DOI
Dehghan, Mehdi; Fakhar-Izadi, Farhad Pseudospectral methods for Nagumo equation. (English) Zbl 1218.65111 Int. J. Numer. Methods Biomed. Eng. 27, No. 4, 553-561 (2011). MSC: 65M70 35K57 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{F. Fakhar-Izadi}, Int. J. Numer. Methods Biomed. Eng. 27, No. 4, 553--561 (2011; Zbl 1218.65111) Full Text: DOI
Li, Xianyi; Zhang, Changgui Existence of analytic solutions to analytic nonlinear \(q\)-difference equations. (English) Zbl 1207.39011 J. Math. Anal. Appl. 375, No. 2, 412-417 (2011). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A13 PDFBibTeX XMLCite \textit{X. Li} and \textit{C. Zhang}, J. Math. Anal. Appl. 375, No. 2, 412--417 (2011; Zbl 1207.39011) Full Text: DOI
Kose, H.; Uslu, K.; Taskara, N.; Hekimoglu, O. On the dynamics of solutions of non-linear recursive system. (English) Zbl 1215.39014 Commun. Math. Appl. 1, No. 2, 91-98 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A20 39A12 39A23 39A30 PDFBibTeX XMLCite \textit{H. Kose} et al., Commun. Math. Appl. 1, No. 2, 91--98 (2010; Zbl 1215.39014)
Cui, Dewang; He, Wansheng; Xia, Hongming; Ma, Caochuan Global attractivity in a second-order nonlinear difference equation. (Chinese. English summary) Zbl 1224.39026 Pure Appl. Math. 26, No. 2, 306-310 (2010). MSC: 39A30 39A20 39A22 PDFBibTeX XMLCite \textit{D. Cui} et al., Pure Appl. Math. 26, No. 2, 306--310 (2010; Zbl 1224.39026)
Tang, Guo-Mei; Hu, Lin-Xia; Jia, Xiu-Mei Dynamics of a higher-order nonlinear difference equation. (English) Zbl 1198.39030 Discrete Dyn. Nat. Soc. 2010, Article ID 534947, 15 p. (2010). MSC: 39A30 39A22 39A20 PDFBibTeX XMLCite \textit{G.-M. Tang} et al., Discrete Dyn. Nat. Soc. 2010, Article ID 534947, 15 p. (2010; Zbl 1198.39030) Full Text: DOI EuDML
Chen, Yunxin; Li, Xianyi Dynamical properties in a fourth-order nonlinear difference equation. (English) Zbl 1198.39026 Adv. Difference Equ. 2010, Article ID 679409, 9 p. (2010). MSC: 39A30 39A20 39A23 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{X. Li}, Adv. Difference Equ. 2010, Article ID 679409, 9 p. (2010; Zbl 1198.39026) Full Text: DOI EuDML
Wang, Chang-You; Gong, Fei; Wang, Shu; Li, Lin-Rui; Shi, Qi-Hong Asymptotic behavior of equilibrium point for a class of nonlinear difference equation. (English) Zbl 1216.39018 Adv. Difference Equ. 2009, Article ID 214309, 8 p. (2009). MSC: 39A22 39A20 PDFBibTeX XMLCite \textit{C.-Y. Wang} et al., Adv. Difference Equ. 2009, Article ID 214309, 8 p. (2009; Zbl 1216.39018) Full Text: DOI
Zhou, Li; Li, Xianyi The rule of cycle length and global asymptotic stability for a third-order nonlinear difference equation. (English) Zbl 1188.39021 Ric. Mat. 58, No. 1, 135-144 (2009). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 39A30 39A21 39A20 39A23 PDFBibTeX XMLCite \textit{L. Zhou} and \textit{X. Li}, Ric. Mat. 58, No. 1, 135--144 (2009; Zbl 1188.39021) Full Text: DOI
Butt, M. M.; Taj, M. S. A. Numerical methods for heat equation with variable coefficients. (English) Zbl 1172.65054 Int. J. Comput. Math. 86, No. 9, 1612-1623 (2009). MSC: 65M20 35K05 35K55 65M06 65M12 PDFBibTeX XMLCite \textit{M. M. Butt} and \textit{M. S. A. Taj}, Int. J. Comput. Math. 86, No. 9, 1612--1623 (2009; Zbl 1172.65054) Full Text: DOI
Dehghan, Mehdi; Mazrooei-Sebdani, Reza Some characteristics of solutions of a class of rational difference equations. (English) Zbl 1176.39015 Kybernetes 37, No. 6, 786-796 (2008). MSC: 39A30 39A20 39A23 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{R. Mazrooei-Sebdani}, Kybernetes 37, No. 6, 786--796 (2008; Zbl 1176.39015) Full Text: DOI
Oskouei, L. Hassani; Aliev, N. Analytic approach to solve specific linear and nonlinear difference equations. (English) Zbl 1187.39013 Int. Math. Forum 3, No. 33-36, 1623-1631 (2008). Reviewer: Dingyong Bai (Guangzhou) MSC: 39A20 39A10 39A12 34A34 34B15 PDFBibTeX XMLCite \textit{L. H. Oskouei} and \textit{N. Aliev}, Int. Math. Forum 3, No. 33--36, 1623--1631 (2008; Zbl 1187.39013) Full Text: Link
Sun, Taixiang; Xi, Hongjian; Han, Caihong Stability of solutions for a family of nonlinear difference equations. (English) Zbl 1146.39020 Adv. Difference Equ. 2008, Article ID 238068, 6 p. (2008). MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{T. Sun} et al., Adv. Difference Equ. 2008, Article ID 238068, 6 p. (2008; Zbl 1146.39020) Full Text: DOI EuDML
Voulov, Hristo A short note on the Y2K problem. (English) Zbl 1149.39009 Commun. Appl. Nonlinear Anal. 15, No. 2, 103-105 (2008). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{H. Voulov}, Commun. Appl. Nonlinear Anal. 15, No. 2, 103--105 (2008; Zbl 1149.39009)
Rachůnková, Irena; Rachůnek, Lukáš Singular discrete problem arising in the theory of shallow membrane caps. (English) Zbl 1158.39012 J. Difference Equ. Appl. 14, No. 7, 747-767 (2008). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A12 39A20 34B16 74K15 PDFBibTeX XMLCite \textit{I. Rachůnková} and \textit{L. Rachůnek}, J. Difference Equ. Appl. 14, No. 7, 747--767 (2008; Zbl 1158.39012) Full Text: DOI
Agarwal, Ravi P.; Grace, Said R.; Wong, Patricia J. Y. Oscillatory behavior of fourth order nonlinear difference equations. (English) Zbl 1185.39009 N. Z. J. Math. 36, 101-111 (2007). MSC: 39A21 39A20 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., N. Z. J. Math. 36, 101--111 (2007; Zbl 1185.39009)
Agarwal, Ravi P.; Pituk, Mihály Asymptotic expansions for higher-order scalar difference equations. (English) Zbl 1151.39004 Adv. Difference Equ. 2007, Article ID 67492, 12 p. (2007). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A11 39A10 39A20 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{M. Pituk}, Adv. Difference Equ. 2007, Article ID 67492, 12 p. (2007; Zbl 1151.39004) Full Text: DOI EuDML
Akram, M.; Taj, M. S. A. A parallel algorithm for the parabolic partial differential equation with a known source term. (English) Zbl 1126.65084 Int. J. Math. Comput. Sci. 1, No. 4, 443-459 (2006). MSC: 65M20 35K15 35K55 65Y05 68W10 65M06 PDFBibTeX XMLCite \textit{M. Akram} and \textit{M. S. A. Taj}, Int. J. Math. Comput. Sci. 1, No. 4, 443--459 (2006; Zbl 1126.65084)
Zhen, Wang; Zhang, Hongqing A symbolic computational method for constructing exact solutions to difference-differential equations. (English) Zbl 1100.65083 Appl. Math. Comput. 178, No. 2, 431-440 (2006). MSC: 65M70 35R10 65M06 35Q51 35Q53 37K10 68W30 39A10 65Q05 PDFBibTeX XMLCite \textit{W. Zhen} and \textit{H. Zhang}, Appl. Math. Comput. 178, No. 2, 431--440 (2006; Zbl 1100.65083) Full Text: DOI
Su, Youhui; Yan, Xingxue Global behavior of a class of nonlinear time-delay difference equations. (Chinese. English summary) Zbl 1099.39500 J. Lanzhou Univ. Technol. 32, No. 1, 152-154 (2006). MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{Y. Su} and \textit{X. Yan}, J. Lanzhou Univ. Technol. 32, No. 1, 152--154 (2006; Zbl 1099.39500)
Takahasi, Sin-Ei; Miura, Yasuhide; Miura, Takeshi On convergence of a recursive sequence \(x_{n+1}= f(x_{n-1},x_n)\). (English) Zbl 1100.39001 Taiwanese J. Math. 10, No. 3, 631-638 (2006). Reviewer: Dingyong Bai (Guangzhou) MSC: 39A10 39A20 PDFBibTeX XMLCite \textit{S.-E. Takahasi} et al., Taiwanese J. Math. 10, No. 3, 631--638 (2006; Zbl 1100.39001) Full Text: DOI
Jaberi Douraki, Majid; Dehghan, Mehdi; Razzaghi, Mohsen On the higher order rational recursive sequence \(X_{n} = \frac {A}{X_{n-k}}+\frac {B}{X_{n-3k}}\). (English) Zbl 1094.39010 Appl. Math. Comput. 173, No. 2, 710-723 (2006). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{M. Jaberi Douraki} et al., Appl. Math. Comput. 173, No. 2, 710--723 (2006; Zbl 1094.39010) Full Text: DOI
El-Owaidy, H. M.; El-Afifi, M. M.; Ahmed, A. M. On the dynamics of the recursive sequence \(x_{n+1}=\frac {\alpha x_n+\beta x_{n-2}} {1+x_n}\). (English) Zbl 1121.39001 J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 3, 187-193 (2005). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{H. M. El-Owaidy} et al., J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 3, 187--193 (2005; Zbl 1121.39001)
Kocic, V. L. Global behavior of solutions of a nonlinear second-order nonautonomous difference equation. (English) Zbl 1094.39011 Allen, Linda J. S. (ed.) et al., Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-520-5/hbk). 101-119 (2005). MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{V. L. Kocic}, in: Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2--7, 2004. Hackensack, NJ: World Scientific. 101--119 (2005; Zbl 1094.39011)
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)
El-Afifi, M. M. On the global behavior of nonlinear third order difference equation. (English) Zbl 1102.39002 J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 1, 59-69 (2005). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{M. M. El-Afifi}, J. Inst. Math. Comput. Sci., Math. Ser. 18, No. 1, 59--69 (2005; Zbl 1102.39002)
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)
Cheema, T. A.; Taj, M. S. A.; Twizell, E. H. Third-order methods for first-order hyperbolic partial differential equations. (English) Zbl 1035.65092 Commun. Numer. Methods Eng. 20, No. 1, 31-41 (2004). MSC: 65M06 65Y05 35L45 35L60 PDFBibTeX XMLCite \textit{T. A. Cheema} et al., Commun. Numer. Methods Eng. 20, No. 1, 31--41 (2004; Zbl 1035.65092) Full Text: DOI
He, Wan-Sheng; Li, Wan-Tong Global attractivity of a higher order nonlinear difference equation. (English) Zbl 1063.39007 Int. J. Math. Sci. 2, No. 2, 251-259 (2003). MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{W.-S. He} and \textit{W.-T. Li}, Int. J. Math. Sci. 2, No. 2, 251--259 (2003; Zbl 1063.39007)
Li, Wan-Tong; Sun, Hong-Rui; Yan, Xing-Xue The asymptotic behavior of higher order delay nonlinear difference equations. (English) Zbl 1084.39008 Indian J. Pure Appl. Math. 34, No. 10, 1431-1441 (2003). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{W.-T. Li} et al., Indian J. Pure Appl. Math. 34, No. 10, 1431--1441 (2003; Zbl 1084.39008)
Kalabušić, S.; Kulenović, M. R. S. On the recursive sequence \(x_{n+1}=\frac{\gamma x_{n-1}+\delta x_{n-2}}{Cx_{n-1}+Dx_{n-2}}\). (English) Zbl 1050.39009 J. Difference Equ. Appl. 9, No. 8, 701-720 (2003). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{S. Kalabušić} and \textit{M. R. S. Kulenović}, J. Difference Equ. Appl. 9, No. 8, 701--720 (2003; Zbl 1050.39009) Full Text: DOI
Kosmala, Witold; Teixeira, Christopher More on the difference equation \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\). (English) Zbl 1022.39005 Appl. Anal. 81, No. 1, 143-151 (2002). Reviewer: Alberto Cabada (Santiago de Compostela) MSC: 39A11 39B05 PDFBibTeX XMLCite \textit{W. Kosmala} and \textit{C. Teixeira}, Appl. Anal. 81, No. 1, 143--151 (2002; Zbl 1022.39005) Full Text: DOI
Boyd, John P. Deleted residuals, the QR-factored Newton iteration, and other methods for formally overdetermined determinate discretizations of nonlinear eigenproblems for solitary, cnoidal, and shock waves. (English) Zbl 1006.65116 J. Comput. Phys. 179, No. 1, 216-237 (2002). MSC: 65M70 65H10 65M06 35Q53 35L67 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Comput. Phys. 179, No. 1, 216--237 (2002; Zbl 1006.65116) Full Text: DOI
Kulenović, M. R. S.; Ladas, G.; Prokup, N. R. A rational difference equation. (English) Zbl 0985.39017 Comput. Math. Appl. 41, No. 5-6, 671-678 (2001). Reviewer: Pavel Talpalaru (Iaşi) MSC: 39B05 39A11 PDFBibTeX XMLCite \textit{M. R. S. Kulenović} et al., Comput. Math. Appl. 41, No. 5--6, 671--678 (2001; Zbl 0985.39017) Full Text: DOI
Abu-Sarris, Ragheb M. Characterization of rational periodic sequences. (English) Zbl 0949.39002 J. Difference Equ. Appl. 6, No. 2, 233-242 (2000). Reviewer: E.Thandapani (Salem) MSC: 39A11 PDFBibTeX XMLCite \textit{R. M. Abu-Sarris}, J. Difference Equ. Appl. 6, No. 2, 233--242 (2000; Zbl 0949.39002) Full Text: DOI
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Clarkson, Peter A.; Bassom, Andrew P. Bäcklund transformations and hierarchies of exact solutions for the fourth Painlevé equation and their application to discrete equations. (English) Zbl 0862.34003 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 63-77 (1996). MSC: 34M55 34A05 33E30 58E07 33C45 34A34 37K35 34A25 39A10 PDFBibTeX XMLCite \textit{P. A. Clarkson} and \textit{A. P. Bassom}, in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 63--77 (1996; Zbl 0862.34003) Full Text: arXiv
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