Additional publications by Hassan Sedaghat
1. Global attractivity in a rational delay difference equation with quadratic terms (with C.M. Kent), J. Difference Eq. Appl., to appear.
2. Global behavior of the Riccati difference equation of order two (with M. Dehghan and R. Mazrooei-Sebdani), J. Difference Eq. Appl., to appear.
3. Global attractivity in a quadratic-linear rational difference equation with delay (with C.M. Kent), J. Difference Eq. Appl., to appear.
4. Reduction of order in difference equations by semiconjugate factorizations, Int’l. J. Pure and Applied Math., vol.53, pp.377-384, 2009.
5. Global behaviors of rational difference equations of orders two and three with quadratic terms, J. Difference Eq. Appl., vol.15, pp.215-224, 2009.
6. Order-reducing form symmetries and semiconjugate factorizations of difference equations, http://arxiv.org/abs/0804.3579, 2008.
7. 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.
8. Dynamics of rational difference equations containing quadratic terms (with M. Dehghan, C.M. Kent, R. Mazrooei, N.L. Ortiz), J. Difference Eq. Appl., 14, pp191-208, 2008.
9. 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.
10.
On third order rational difference equations
with quadratic terms – open problems and conjectures, J. Difference Eq. Appl., vol.14, pp.889-897, 2008.
11. All homogeneous second order difference equations of degree one have semiconjugate factorizations, Journal of Difference Equations and Applications, 13, pp.453-456, 2007.
12.
Difference equations as discrete dynamical systems, Chapter 18 in Handbook
of Dynamic Systems Modeling, P. A. Fishwick (Ed.), Chapman &
Hall/CRC, 2007.
13. 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
14. 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, (
15. 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
16. Stability in a class of monotone nonlinear difference equations, Int’l. J. Pure and Applied Math., Vol.21, pp.167-174, 2005
17.
Difference Equations with Absolute Values, (with C.M. Kent), J. Difference Eq. Appl., Vol.11, pp.677-686, 2005
18. 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
19. 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
20.
The Li-Yorke theorem and infinite
discontinuities, Journal of Mathematical Analysis and Applications, vol.296, pp.538-540,
2004
21. 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
22. 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
23. Thresholds, Mode-switching and Complex Dynamics, Proceedings of the 6th International Conference on Difference Equations and Applications, (Augsburg, Germany, August 2001), B. Aulbach, S. Elaydi and G. Ladas (Ed.s), pp.201-213, 2004
24. 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
25. Semiconjugates of One-dimensional Maps, Journal of Difference Equations and Applications, vol.8, pp.649-666, 2002.
26. 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
27. Effects of Temporal Heterogeneity in the Baumol-Wolff Productivity Growth Model, Economic Theory, vol.15, pp.491-498, 2000.
28. Existence of Solutions for Certain Singular Difference Equations, Journal of Difference Equations and Applications, Vol.6, pp.535-561, 2000
29. Bounded Oscillations in the Hicks Business Cycle Model and other Delay Equations, Journal of Difference Equations and Applications, vol.4, pp.325-341, 1998.
30. The Impossibility of Unstable, Globally Attracting Fixed Points for Continuous Mappings of the Line, American Mathematical Monthly, vol.104, pp.356-359, 1997.
31. General Permanence Conditions for Nonlinear Difference Equations of Higher Order, Journal of Mathematical Analysis and Applications, Vol.213, pp.496-510, 1997.
32. Permanence and Global Stability in a Model of Consumer Demand, Journal of Difference Equations and Applications, Vol.2, pp.289-299, 1996.
33. A Derivative Test for Uniform Continuity, Int. J. of Math. Ed. Sci. and Technology, Vol.27, pp.144-146. 1996.
34. Geometric Properties of Factorable Planar Systems of Differential Equations, SIAM Review, vol.38, pp.660-665, 1996.
35. Boolean Lattices of Function Algebras on Rectangular Semigroups, Semigroup Forum, Vol.47, pp.231-249, 1993.
36. A New Semilattice of Function Algebras and its Boolean Form on a Lattice of Groups, Semigroup Forum, Vol.46, pp.307-321, 1993.
37. On Extending Continuous Functions on Dense Subsemigroups (with H.D. Junghenn), Semigroup Forum, Vol., pp., 1991.
38. Measuring the Speed and Altitude of an Aircraft Using Similar Triangles, SIAM Review, Vol.33, pp.650-654, 1991.
Miscellaneous Writings
Higher order discrete Riccati equations (new results, ideas and perspectives)
An interesting sequence of real numbers (not converging but having plenty of convergent subsequences)
A dynamical model of consumer demand (deriving the strong axiom of revealed preferences, the demand law and more without using utility functions or politics)
Cellular Automata, Dynamics and Complexity (what is missing from Stephen Wolfram’s “A New Kind of Science” – it is a major omission)
The Ducci Problem and Related Questions, A
Glimpse of Mathematics,