Additional publications by Hassan Sedaghat

*1. *Periodic and non-periodic solutions in a Ricker-type second-order equation with periodic parameters (with N. Lazaryan) *J. Difference Eq. Appl., **22, *1199-1223, *2016*

*2. ***Book Review: “Difference Equations by Differential Equations Methods, by P. Hydon”, ***J. Difference Eq. Appl., **22, 724-726, **2016*

*3. *Extinction, periodicity and multistability in a Ricker model of stage-structured populations (with N. Lazaryan) *J. Difference Eq. Appl., **22, 519-544, 2016*

4. Global stability and periodic solutions for a second-order quadratic rational difference equation (with N. Lazaryan) *International J. Difference Eq*., 11, 79-103, 2016

5. Periodic and chaotic orbits of a discrete rational system, (with N. Lazaryan) *Discr**. Dyn. Nature and Soc*__. __Article ID 519598, 8 pages, 2015

6. Semiconjugate factorizations of higher order linear difference equations in rings, *J. Difference Eq. Appl.,** 20, 251-270, 2014*

7. Zero-avoiding solutions of the Fibonacci recurrence modulo a prime, *Fibonacci Quarterly*, 52, 39-45, 2014

8. Global attractivity in a class of non-autonomous, nonlinear, higher order difference equations, *J. Difference Eq. Appl.,** 19, 1049-1064, 2013*

9. Reductions of order in difference equations defined as products of exponential and power functions, *J. Difference Eq. Appl.*, vol.17, 1751-1768, 2011

10. Global behavior of the Riccati difference equation of order two (with M. Dehghan and R. Mazrooei-Sebdani), *J. Difference Eq. Appl.*, vol.17, 467-477, 2011

11. Global attractivity in a rational delay difference equation with quadratic terms (with C.M. Kent), *J. Difference Eq. Appl.*, vol.17, 457-466, 2011

12. Semiconjugate factorization of non-autonomous higher order difference equations, *Int’l. J. Pure and Applied Math*., vol.62, pp.233-245, 2010

13. Every homogeneous difference equation of degree one admits a reduction in order, *J. Difference Eq. Appl.*, vol.15, pp.621-624, 2009

14. Global attractivity in a quadratic-linear rational difference equation with delay (with C.M. Kent), *J. Difference Eq. Appl.*, vol.15, pp.913-925, 2009

15. Reduction of order in difference equations by semiconjugate factorizations, *Int’l. J. Pure and Applied Math*., vol.53, pp.377-384, 2009

16. Periodic and chaotic behavior in a class of second-order difference equations, *Advanced Studies in Pure Mathematics*, vol.53, pp.321-328, 2009

17. Global behaviors of rational difference equations of orders two and three with quadratic terms, *J. Difference Eq. Appl.*, vol.15, pp.215-224, 2009

18. Reduction of order of separable second order difference equations with form symmetries, *Int’l. J. Pure and Applied Math*., vol.47, pp.155-163, 2008

19. Dynamics of rational difference equations containing quadratic terms (with M. Dehghan, C.M. Kent, R. Mazrooei, N.L. Ortiz), *J. Difference Eq. Appl.*, 14, pp.191-208, 2008

20. Monotone and oscillatory solutions of a rational difference equation containing quadratic terms, (with M. Dehghan, C.M. Kent, R. Mazrooei, N.L. Ortiz), *J. Difference Eq. Appl.*, vol.14, pp.1045-1058, 2008

21. On third order rational difference equations with quadratic terms – open problems and conjectures, *J. Difference Eq. Appl.*, vol.14, pp.889-897, 2008

22. All homogeneous second order difference equations of degree one have semiconjugate factorizations, *Journal of Difference Equations and Applications*, 13, pp.453-456, 2007

*23. **A class of second order difference equations inspired by Euler’s discretization method (with M. Shojaei), Int’l. J. Applied Math. Stat. – Euler’s 300 ^{th} Anniversary Volume*

24. *Asymptotic stability for a higher order rational difference equation, (with M. Dehghan and C.M. Kent) Proceedings of the Conference on Differential and Difference Equations*, (Melbourne, Florida, August 2005), Hindawi, 2006, pp.335-339

*25. *Asymptotic stability for difference equations with decreasing arguments, (with D.M. Chan, E.R. Chang, M. Dehghan, C.M. Kent, and R. Mazrooei)* J. Difference Eq. Appl.*, vol.12, pp.109-123, 2006

*26. **Stability in a class of monotone nonlinear difference equations,** **Int’l. J. Pure and Applied Math. ,*

27. **Book Review: “Partial Difference Equations, by S.S. Cheng,” ***J. Difference Eq. Appl., **11, **783-784, 2005*

28. *Difference Equations with Absolute Values, (with C.M. Kent), J. Difference Eq. Appl.,** Vol.11, pp.677-686, 2005*

29. Global Attractivity, Oscillations and Chaos in A Class of Nonlinear Difference Equations of Second Order (Survey Article), *Cubo**: A Mathematical Journal*, Vol.7, pp.89-110, 2005

30. Global Stability and Boundedness in *x**_(n+1) = cx_n + f(x_n - x**_(n-1))*, (with C.M. Kent), *Journal of Difference Equations and Applications*, Vol.10, pp.1215-1228, 2004

31. *Convergence, periodicity and bifurcations for the 2-parameter absolute-difference equation *(namely, *x**_(**n+1) = |ax_n - bx**_(n-1)|*, with C.M. Kent), *J. Difference Eq. Appl.*, vol.10, pp.817-841, 2004

32. *The Li-Yorke theorem and infinite discontinuities, Journal of Mathematical Analysis and Applications**, vol.296, pp.538-540, 2004 *

*33. *On the equation x_(n+1) = cx_n + f(x_n - x_(n-1)), *Proceedings of the 7th International Conference on Difference Equations and Applications*, (Changsha, PR China, August 2002), *Fields Institute Communications*, vol. 42, pp.323-326, 2004

34. Thresholds, Mode-switching and Complex Dynamics, *Proceedings of the 6th International Conference on Difference Equations and Applications*, (Augsburg, Germany, August 2001), B. Aulbach, et al (Ed.s), pp.201-213, 2004

35. The global stability of equilibrium in a nonlinear second order difference equation, *International Journal of Pure and Applied Mathematics*, vol.8, pp.209-223, 2003

36. Semiconjugates of One-dimensional Maps, *Journal of Difference Equations and Applications*, vol.8, pp.649-666, 2002.

37. Regarding the Equation x_(n+1) = cx_n + f(x_n - x_(n-1)): Open Problems and Conjectures, *Journal of Difference Equations and Applications*, Vol.8, pp.667-671, 2002

38. Effects of Temporal Heterogeneity in the Baumol-Wolff Productivity Growth Model, *Economic Theory*, vol.15, pp.491-498, 2000.

39. Existence of Solutions for Certain Singular Difference Equations, *Journal of Difference Equations and Applications*, Vol.6, pp.535-561, 2000

40. Geometric Stability Conditions for Higher Order Difference Equations, *Journal of Mathematical Analysis and Applications*, vol.224, pp.255-272, 1998

41. Bounded Oscillations in the Hicks Business Cycle Model and other Delay Equations, *Journal of Difference Equations and Applications*, vol.4, pp.325-341, 1998

42. The Impossibility of Unstable, Globally Attracting Fixed Points for Continuous Mappings of the Line, *American Mathematical Monthly*, vol.104, pp.356-359, 1997

43. General Permanence Conditions for Nonlinear Difference Equations of Higher Order, *Journal of Mathematical Analysis and Applications*, Vol.213, pp.496-510, 1997

44. Permanence and Global Stability in a Model of Consumer Demand, *Journal of Difference Equations and Applications*, Vol.2, pp.289-299, 1996

45. A Derivative Test for Uniform Continuity, *Int. J. of Math. Ed. Sci. and Technology**, Vol.27, pp.144-146.* 1996

46. Geometric Properties of Factorable Planar Systems of Differential Equations, *SIAM Review*, vol.38, pp.660-665, 1996

47. Boolean Lattices of Function Algebras on Rectangular Semigroups, *Semigroup Forum*, Vol.47, pp.231-249, 1993

48. A New Semilattice of Function Algebras and its Boolean Form on a Lattice of Groups, *Semigroup Forum*, Vol.46, pp.307-321, 1993

49. On Extending Continuous Functions on Dense Subsemigroups (with H.D. Junghenn), *Semigroup Forum*, Vol.43, pp.25-32, 1991

50. Measuring the Speed and Altitude of an Aircraft Using Similar Triangles, *SIAM Review*, Vol.33, pp.650-654, 1991

51. *New Constructions in Semigroup Compactification Theory*, Ph.D. Thesis, George Washington University, 1990

52. The Ducci Problem and Related Questions, *A Glimpse of Mathematics*, George Washington University, 1989 (also known as the “n-numbers game” this is an intriguing difference problem that is solved here in a novel way)

**Additional articles, preprints**

A convergence criterion for the solutions of nonlinear difference equations and dynamical systems (submitted article) https://arxiv.org/abs/1702.02884, 2017

Extinction and the Allee effect in an age-structured Ricker population model with inter-stage interaction (with N. Lazaryan, submitted article) https://arxiv.org/abs/1702.02889, 2017

Folding difference and differential systems into higher-order equations, http://arxiv.org/abs/1403.3995, 2014

On non-occurrence of chaos in non-autonomous planar flows, http://arxiv.org/abs/1405.2542 2014

On periodic and chaotic orbits in rational planar systems (with N. Lazaryan), http://arxiv.org/abs/1405.3124 2014

Global attractivity in nonlinear higher order difference equations in Banach spaces,* *http://arxiv.org/abs/1203.0227, 2012

Factorizations and reductions of order in quadratic and other non-recursive higher order difference equations, http://arxiv.org/abs/1012.5410, 2010

Factorizations of difference equations by semiconjugacy with application to non-autonomous linear equations, http://arxiv.org/abs/1005.2428, 2010

Semiconjugate factorization and reduction of order in difference equations, http://arxiv.org/abs/0907.3951, 2009

Order-reducing form symmetries and semiconjugate factorizations of difference equations, http://arxiv.org/abs/0804.3579, 2008