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: ďDifference Equations by Differential Equations Methods, by P. HydonĒ, 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, Intíl. 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, Intíl. 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, Intíl. 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 Ė 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 Eulerís discretization method (with M. Shojaei), Intíl. J.Applied Math. Stat. Ė Eulerís 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, Intíl. J. Pure and Applied Math., Vol.21, pp.167-174, 2005

27.  Book Review: ďPartial Difference Equations, by S.S. Cheng,Ē 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 ďn-numbers gameĒ 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), 2017

Extinction and the Allee effect in an age-structured Ricker population model with inter-stage interaction (with N. Lazaryan, submitted article), 2017

Folding difference and differential systems into higher-order equations,, 2014

On non-occurrence of chaos in non-autonomous planar flows, 2014

On periodic and chaotic orbits in rational planar systems (with N. Lazaryan), 2014

Global attractivity in nonlinear higher order difference equations in Banach spaces,, 2012

Factorizations and reductions of order in quadratic and other non-recursive higher order difference equations,, 2010

Factorizations of difference equations by semiconjugacy with application to non-autonomous linear equations,, 2010

Semiconjugate factorization and reduction of order in difference equations,, 2009

Order-reducing form symmetries and semiconjugate factorizations of difference equations,, 2008

Back to publications main page