The Thirty-seventh International Symposium on Functional Equations


Marshall University, Huntington, West Virginia
May 16 - 23, 1999

Bruce Ebanks, Organizer
Division of Mathematics and Applied Sciences

Melissa Kuhl, Symposium Secretary

Scientific Committee:
Janos Aczél (Honorary Chairman)
Walter Benz
Roman Ger
Ludwig Reich
Abe Sklar


Functional Equations Week in Huntington, West Virginia!


Photos by Abe Sklar


ISFE 37

Schedule of Talks

Monday Tuesday Wednesday Thursday Friday Saturday

Monday Schedule (May 17)



9:00 - 9:15 Opening



First Morning Session       Chairman: John Baker



9:20 - 9:45 Thomas Riedel: A lattice theoretic inequality, iterations and fixed points (Preliminary Report)



9:45 - 10:10 Jürg Rätz: On a problem of J. Sikorska



10:10 - 10:45 Coffee break



Second Morning Session



10:45 - 11:10 Roman Ger: Addition formulae with singularities



11:10 - 11:35 Henrik Stetkaer: d'Alembert functional equation on metabelian groups



11:35 - 12:00 Problems and Remarks



First Afternoon Session      Chairman: Zoltan Daroczy



13:45 - 14:10 Abe Sklar: A note on the generalized translation equation



14:10 - 14:35 Hans-Heinrich Kairies: On Knopp, Behrend and Micolas type series



14:35 - 15:00 Problems and Remarks



15:00 - 15:30 Coffee break



Second Afternoon Session



15:30 - 15:55 Janos Aczél: On a functional equation arising from a characterization of rank dependent expected utility I



15:55 - 16:20 Gyula Maksa: On a functional equation arising from a characterization of rank dependent expected utility II



16:20 - 16:45 Problems and Remarks




Tuesday Schedule (May 18)



9:00 - 9:15 Official greeting and proclamation by Jean Dean, Mayor of Huntington



First Morning Session       Chairwoman: Jolan Targonski



9:20 - 10:10 Maciej Sablik: On a functional equation of Abel



10:10 - 10:45 Coffee break



Second Morning Session      Chairman: Frantisek Neuman



10:45 - 11:15 John Baker: Distributions, functional and differential equations



11:15 - 11:45 Rick Mabry: Shades of the Cauchy functional equation and Segre functions



11:45 - 12:00 Problems and Remarks



First Afternoon Session      Chairman: Hans-Heinrich Kairies



13:45 - 14:15 Jaroslav Smital: Distributional chaos almost everywhere



14:15 - 14:45 Kiko Kawamura: On the classification of self-similar sets



14:45 - 15:00 Problems and Remarks



15:00 - 15:30 Coffee break



Second Afternoon Session      Chairman: Jaroslav Smital



15:30 - 16:00 Marek Cezary Zdun: On iterative roots of homeomorphisms of the circle



16:00 - 16:30 Zbigniew Lesniak: On continuous flows of diffeomorphisms of the plane



16:30 - 16:45 Problems and Remarks




Wednesday Schedule (May 19)



7:30 - 9:00 Breakfast in the Memorial Student Center Cafeteria



9:30 Load bus in front of Memorial Student Center Cafeteria



10:00 Depart for Excursion to Beckley



12:00 - 13:00 Lunch at New River Park in Beckley



13:00 Arrive at Exhibition Coal Mine in Beckley



13:15 First Tour Group visits Coal Mine, Second Tour Group visits Museum and other facilities

14:00 Second Tour Group visits Coal Mine, First Tour Group visits Museum and other facilities



15:00 Depart Beckley for the New River Gorge



15:45 Arrive at New River Gorge Visitor Center



16:45 Depart New River Gorge Visitor Center



17:00 Arrive at Hawk's Nest State Park



18:00 - 19:00 Dinner at Hawk's Nest Conference Room



21:00 Return to Huntington




Thursday Schedule (May 20)



First Morning Session      Chairman: Mark Taylor



9:00 - 9:30 Thomas Davison: On the equation

f(xy) +f(x+y) =f(xy+x) +f(y)



9:30 - 10:00 Jaime-Luis Garcia-Roig: On a conditional Cauchy functional equation involving cubes of finite fields: the case of characteristic 2



10:00 - 10:15 Problems and Remarks



10:15 - 10:45 Coffee Break



Second Morning Session      Chairman: Thomas Davison



10:45 - 11:15 Che Tat Ng: The Jensen equation on groups

f(xy) + f(y-1x) = 2f(x)



11:15 - 11:45 Bruce Ebanks: On a functional equation of Heuvers for the logarithm



11:45 - 12:00 Problems and Remarks



First Afternoon Session      Chairman: Jens Schwaiger



13:45 - 14:15 Ludwig Reich: Aczél-Jabotinsky differential equations and Scheinberg's normal forms of formal series



14:15 - 14:45 Konrad Heuvers: One-to-one analytic straight line and circle preserving mappings of C to itself



14:45 - 15:00 Problems and Remarks



15:00 - 15:30 Coffee break



Second Afternoon Session      Chairman: Marek Zdun



15:30 - 16:00 Witold Jarczyk: On a linear iterative equation of infinite order



16:00 - 16:30 Janusz Morawiec: On the existence of irregular solutions

of the two-coefficient dilation equation



16:30 - 17:00 Weinian Zhang: Nonlinear invariant curves for a functional differential equation




Friday Schedule (May 21)





Special Session



Chairman:      Detlef Gronau



9:00 - 10:15 Detlef Gronau: Let's do history of functional equations



10:15 - 10:45 Coffee Break



Second Morning Session      Chairman: Janusz Matkowski



10:45 - 11:15 Nicole Brillouet-Belluot: On a functional equation of B. Ebanks - II



11:15 - 11:45 Zoltán Boros: Characterization of composite linearity by a system of translation type equations



11:45 - 12:00 Problems and Remarks



First Afternoon Session      Chairwoman: Nicole Brillouet-Belluot



13:45 - 14:15 PL. Kannappan: On quadratic functional equation



14:15 - 14:45 Prasanna Sahoo: A property of quadratic polynomials



14:45 -- 15:00 Problems and Remarks



15:00 - 15:30 Coffee break



Second Afternoon Session      Chairman: PL. Kannappan



15:30 - 16:00 Walter Benz: On a functional equation of distance preservance in Hilbert spaces



16:00 - 16:30 Jens Schwaiger: Some applications of functional equations in astronomy



16:30 - 16:45 Problems and Remarks




Saturday Schedule (May 22)

First Morning Session      Chairman: Che Tat Ng

9:00 - 9:30 Zoltán Daróczy: On a class of mean values



9:30 - 10:00 Laszlo Szekelyhidi: Remark on mean-value type functional equations



10:00 - 10:15 Problems and Remarks



10:15 - 10:45 Coffee Break



Second Morning Session      Chairman: Gyula Maksa



10:45 - 11:15 Janusz Matkowski: On invariant means



11:15 - 11:45 Kazimierz Nikodem: Mazur's criterion for continuity of convex set-valued functions



11:45 - 12:00 Problems and Remarks



First Afternoon Session      Chairman: Henrik Stetkaer



13:45 - 14:15 Frantisek Neuman: Decomposition of functions and matrices



14:15 - 14:45 Antal Járai: Measurability implies continuity for solutions of functional equations - even with few variables



14:45 - 15:00 Problems and Remarks



15:00 - 15:30 Coffee break



Second Afternoon Session      Chairman: Antal Járai



15:30 - 16:00 Mark Taylor: GEB derived equations



16:00 - 16:30 Peter Friis: d'Alembert's and Wilson's functional equations on nilpotent Lie groups



16:30 - 16:45 Problems and Remarks



17:00 Closing