Chen, Bin; Chang, An A note on Seymour’s second neighborhood conjecture. (English) Zbl 1516.05077 Discrete Appl. Math. 337, 272-277 (2023). MSC: 05C20 05C38 PDFBibTeX XMLCite \textit{B. Chen} and \textit{A. Chang}, Discrete Appl. Math. 337, 272--277 (2023; Zbl 1516.05077) Full Text: DOI
Tasdemir, Erkan; Göcen, Melih; Soykan, Yüksel Global dynamical behaviours and periodicity of a certain quadratic-rational difference equation with delay. (English) Zbl 1499.39050 Miskolc Math. Notes 23, No. 1, 471-484 (2022). MSC: 39A22 39A23 39A30 PDFBibTeX XMLCite \textit{E. Tasdemir} et al., Miskolc Math. Notes 23, No. 1, 471--484 (2022; Zbl 1499.39050) Full Text: DOI arXiv
Taşdemir, Erkan Global dynamics of a higher order difference equation with a quadratic term. (English) Zbl 1490.39020 J. Appl. Math. Comput. 67, No. 1-2, 423-437 (2021). MSC: 39A22 39A23 39A30 PDFBibTeX XMLCite \textit{E. Taşdemir}, J. Appl. Math. Comput. 67, No. 1--2, 423--437 (2021; Zbl 1490.39020) Full Text: DOI DOI
Saleh, Mohammad; Asad, A. Dynamics of \(K\)\(^\mathrm{th}\) order rational difference equation. (English) Zbl 1473.39032 J. Appl. Nonlinear Dyn. 10, No. 1, 125-149 (2021). MSC: 39A30 39A23 PDFBibTeX XMLCite \textit{M. Saleh} and \textit{A. Asad}, J. Appl. Nonlinear Dyn. 10, No. 1, 125--149 (2021; Zbl 1473.39032) Full Text: DOI
Abualrub, S.; Aloqeili, M. Dynamics of positive solutions of a system of difference equations. (English) Zbl 1462.39011 J. Comput. Appl. Math. 392, Article ID 113489, 15 p. (2021). MSC: 39A22 39A30 39A23 PDFBibTeX XMLCite \textit{S. Abualrub} and \textit{M. Aloqeili}, J. Comput. Appl. Math. 392, Article ID 113489, 15 p. (2021; Zbl 1462.39011) Full Text: DOI
Saito, Kaori Global attractivity for a Volterra difference equation. (English) Zbl 1477.39005 Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 411-421 (2020). Reviewer: Fengqin Zhang (Yuncheng) MSC: 39A30 PDFBibTeX XMLCite \textit{K. Saito}, Springer Proc. Math. Stat. 341, 411--421 (2020; Zbl 1477.39005) Full Text: DOI
Abualrub, S.; Aloqeili, M. Dynamics of the system of difference equations \(x_{n+1} = A+\frac{y_{n-k}}{y_n}\), \(y_{n+1} = B+\frac{x_{n-k}}{x_n}\). (English) Zbl 1450.39003 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 69, 19 p. (2020). MSC: 39A20 39A23 39A30 PDFBibTeX XMLCite \textit{S. Abualrub} and \textit{M. Aloqeili}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 69, 19 p. (2020; Zbl 1450.39003) Full Text: DOI
Daamouch, Moussa Seymour’s second neighborhood conjecture for 5-anti-transitive oriented graphs. (English) Zbl 1447.05114 Discrete Appl. Math. 285, 454-457 (2020). MSC: 05C38 05C12 05C20 PDFBibTeX XMLCite \textit{M. Daamouch}, Discrete Appl. Math. 285, 454--457 (2020; Zbl 1447.05114) Full Text: DOI
Öcalan, Özkan; Duman, Oktay On solutions of the recursive equations \(x_{n+1} = x^p_{n-1}/x^p_n (p > 0)\) via Fibonacci-type sequences. (English) Zbl 1396.39003 Electron. J. Math. Anal. Appl. 7, No. 1, 102-115 (2019). MSC: 39A10 39A21 11B39 PDFBibTeX XMLCite \textit{Ö. Öcalan} and \textit{O. Duman}, Electron. J. Math. Anal. Appl. 7, No. 1, 102--115 (2019; Zbl 1396.39003)
Jafar, Amer; Saleh, M. Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\). (English) Zbl 1395.39007 J. Appl. Math. Comput. 57, No. 1-2, 493-522 (2018). Reviewer: Fengqin Zhang (Yuncheng) MSC: 39A30 39A22 39A23 PDFBibTeX XMLCite \textit{A. Jafar} and \textit{M. Saleh}, J. Appl. Math. Comput. 57, No. 1--2, 493--522 (2018; Zbl 1395.39007) Full Text: DOI
Abu Alhalawa, Muna; Mohammad, Saleh Dynamics of higher order rational difference equation \(x_{n+1}=(\alpha+\beta x_n)/(A+Bx_n + Cx_{n-k})\). (English) Zbl 1387.39001 Int. J. Nonlinear Anal. Appl. 8, No. 2, 363-379 (2017). MSC: 39A05 39A10 39A20 39A21 39A22 39A23 39A30 PDFBibTeX XMLCite \textit{M. Abu Alhalawa} and \textit{S. Mohammad}, Int. J. Nonlinear Anal. Appl. 8, No. 2, 363--379 (2017; Zbl 1387.39001) Full Text: DOI
Yu, Yang-Yang; Wang, Lin-Lin; Fan, Yong-Hong Uniform ultimate boundedness of solutions of predator-prey system with Michaelis-Menten functional response on time scales. (English) Zbl 1418.92148 Adv. Difference Equ. 2016, Paper No. 319, 14 p. (2016). MSC: 92D25 34N05 37N25 PDFBibTeX XMLCite \textit{Y.-Y. Yu} et al., Adv. Difference Equ. 2016, Paper No. 319, 14 p. (2016; Zbl 1418.92148) Full Text: DOI
Wang, Xun-Yang; Li, Zhi Global asymptotic stability for two kinds of higher order recursive sequences. (English) Zbl 1382.39008 J. Difference Equ. Appl. 22, No. 10, 1542-1553 (2016). Reviewer: Ahmed Hegazi (Mansoura) MSC: 39A20 39A30 39A22 PDFBibTeX XMLCite \textit{X.-Y. Wang} and \textit{Z. Li}, J. Difference Equ. Appl. 22, No. 10, 1542--1553 (2016; Zbl 1382.39008) Full Text: DOI
Liu, Guangfeng; Sun, Na Trajectory structure rule in a fourth order nonlinear difference equation. (English) Zbl 1328.39017 Indian J. Math. 57, No. 2, 165-179 (2015). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A20 39A21 39A23 39A30 PDFBibTeX XMLCite \textit{G. Liu} and \textit{N. Sun}, Indian J. Math. 57, No. 2, 165--179 (2015; Zbl 1328.39017)
Kocic, V. L.; Kostrov, Y. Dynamics of a discontinuous discrete Beverton-Holt model. (English) Zbl 1295.39009 J. Difference Equ. Appl. 20, No. 5-6, 859-874 (2014). Reviewer: Peter Zabreiko (Minsk) MSC: 39A21 39A22 92D25 39A20 39A30 PDFBibTeX XMLCite \textit{V. L. Kocic} and \textit{Y. Kostrov}, J. Difference Equ. Appl. 20, No. 5--6, 859--874 (2014; Zbl 1295.39009) Full Text: DOI
Daṣ, S. Ebru Dynamics of a nonlinear rational difference equation. (English) Zbl 1301.39006 Hacet. J. Math. Stat. 42, No. 1, 9-14 (2013). Reviewer: Antonio Linero Bas (Murcia) MSC: 39A20 39A30 39A21 PDFBibTeX XMLCite \textit{S. E. Daṣ}, Hacet. J. Math. Stat. 42, No. 1, 9--14 (2013; Zbl 1301.39006)
Zayed, E. M. E.; El-Moneam, M. A. On the qualitative study of the nonlinear difference equation \(x_{n+1}=\frac{\alpha x_{n-\sigma}}{\beta+\gamma x^ p_{n-\tau}}\). (English) Zbl 1296.39007 Fasc. Math. 50, 137-147 (2013). Reviewer: Xueyan Liu (Chattanooga) MSC: 39A20 39A21 39A22 39A23 39A30 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{M. A. El-Moneam}, Fasc. Math. 50, 137--147 (2013; Zbl 1296.39007)
Wang, Yanqin; Tu, Qingwei; Wang, Qiang; Hu, Chao Dynamics of a high-order rational difference equation. (English) Zbl 1260.39014 Util. Math. 88, 13-25 (2012). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A20 39A21 39A23 39A30 PDFBibTeX XMLCite \textit{Y. Wang} et al., Util. Math. 88, 13--25 (2012; Zbl 1260.39014)
Zayed, Elsayed M. E. On the rational recursive sequence. (English) Zbl 1251.39008 Acta Math. Vietnam. 37, No. 2, 251-266 (2012). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A20 39A22 39A23 39A30 PDFBibTeX XMLCite \textit{E. M. E. Zayed}, Acta Math. Vietnam. 37, No. 2, 251--266 (2012; Zbl 1251.39008)
Das, S. Ebru; Bayram, Mustafa Qualitative behavior of a fourth-order rational difference equation. (English) Zbl 1298.39011 Int. J. Contemp. Math. Sci. 6, No. 5-8, 279-284 (2011). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A20 39A30 PDFBibTeX XMLCite \textit{S. E. Das} and \textit{M. Bayram}, Int. J. Contemp. Math. Sci. 6, No. 5--8, 279--284 (2011; Zbl 1298.39011) Full Text: Link
Gurcan, F.; Bozkurt, F. Global stability in a population model with piecewise constant arguments. (English) Zbl 1177.34097 J. Math. Anal. Appl. 360, No. 1, 334-342 (2009). MSC: 34K20 34K12 39A12 PDFBibTeX XMLCite \textit{F. Gurcan} and \textit{F. Bozkurt}, J. Math. Anal. Appl. 360, No. 1, 334--342 (2009; Zbl 1177.34097) Full Text: DOI
Saleh, M.; Aloqeili, M. On the rational difference equation \(y_{n+1}=A+\frac {y_n}{y_{n-k}}\). (English) Zbl 1104.39005 Appl. Math. Comput. 177, No. 1, 189-193 (2006). Reviewer: Mingshu Peng (Beijing) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{M. Saleh} and \textit{M. Aloqeili}, Appl. Math. Comput. 177, No. 1, 189--193 (2006; Zbl 1104.39005) Full Text: DOI
Aloqeili, Marwan Dynamics of a rational difference equation. (English) Zbl 1100.39002 Appl. Math. Comput. 176, No. 2, 768-774 (2006). Reviewer: Miloš Čanak (Beograd) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{M. Aloqeili}, Appl. Math. Comput. 176, No. 2, 768--774 (2006; Zbl 1100.39002) 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
Dehghan, Mehdi; Jaberi Douraki, Majid; Jaberi Douraki, Marjan Dynamics of a rational difference equation using both theoretical and computational approaches. (English) Zbl 1085.39006 Appl. Math. Comput. 168, No. 2, 756-775 (2005). Reviewer: Hussain A. El-Saify (Beni Suef) MSC: 39A11 39A20 65Q05 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Math. Comput. 168, No. 2, 756--775 (2005; Zbl 1085.39006) Full Text: DOI
Li, Xianyi; Zhu, Deming Two rational recursive sequences. (English) Zbl 1072.39008 Comput. Math. Appl. 47, No. 10-11, 1487-1494 (2004). Reviewer: Eric R. Kaufmann (Little Rock) MSC: 39A11 39A20 PDFBibTeX XMLCite \textit{X. Li} and \textit{D. Zhu}, Comput. Math. Appl. 47, No. 10--11, 1487--1494 (2004; Zbl 1072.39008) Full Text: DOI
Fan, Yonghong; Wang, Linlin; Li, Wan-Tong Global behavior of a higher order nonlinear difference equation. (English) Zbl 1066.39008 J. Math. Anal. Appl. 299, No. 1, 113-126 (2004). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A11 PDFBibTeX XMLCite \textit{Y. Fan} et al., J. Math. Anal. Appl. 299, No. 1, 113--126 (2004; Zbl 1066.39008) Full Text: DOI
Liu, Deyou; Yao, Huiping; Liu, Zhihua Completions of inverse matrix patterns and algorithm design. (Chinese. English summary) Zbl 1046.15019 Numer. Math., Nanjing 25, No. 3, 276-288 (2003). MSC: 15A29 15A09 15B48 65F30 05C50 PDFBibTeX XMLCite \textit{D. Liu} et al., Numer. Math., Nanjing 25, No. 3, 276--288 (2003; Zbl 1046.15019)
Shoesmith, D. J.; Smiley, T. J. Theorem on directed graphs, applicable to logic. (English) Zbl 0425.05027 J. Graph Theory 3, 401-406 (1979). MSC: 05C20 03B99 PDFBibTeX XMLCite \textit{D. J. Shoesmith} and \textit{T. J. Smiley}, J. Graph Theory 3, 401--406 (1979; Zbl 0425.05027) Full Text: DOI
McCalla, Clement Oscillatory and asymptotic behavior of second order functional differential equations. (English) Zbl 0421.34074 Nonlinear Anal., Theory Methods Appl. 3, 283-291 (1979). MSC: 34K99 34K25 34C10 34E05 PDFBibTeX XMLCite \textit{C. McCalla}, Nonlinear Anal., Theory Methods Appl. 3, 283--291 (1979; Zbl 0421.34074) Full Text: DOI