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 300th
Anniversary Volume, 9, pp.110-123, 2007
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., Vol.21, pp.167-174, 2005
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