Advances in Difference Equations

The aim of Advances in Difference Equations is to report new developments in the field of diffence equations, and their applications in all fields. Edited by Martin Bohner of the Missouri University of Science and Technology, Elena Braverman of the University of Calgary, and Ravi P. Agarwal of Texas A&M University. 

Recent articles

• Approximation on the reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields
  by Sang Og Kim, Beri Venkatachalapathy Senthil Kumar and Abasalt Bodaghi
• Stability results of a fractional model for unsteady-state fluid flow problem
  by N Thamareerat, A Luadsong, and N Aschariyaphotha
• Stability results for partial fractional differential equations with noninstantaneous impulses​​​​​​​
  by Saïd Abbas, Mouffak Benchohra, Ahmed Alsaedi, and Yong Zhou
• Monotonicity results for fractional difference operators with discrete exponential kernels
  by Thabet Abdeljawad and Dumitru Baleanu
• Dynamical analysis of the permanent-magnet synchronous motor chaotic system
  by Fuchen Zhang, Xiaofeng Liao, and Chunlai Mu

Dr. Martin Bohner is a Professor in the Department of Mathematics and Statistics at Missouri S&T. Bohner earned his B.S. (1989) and M.S. (1993) in Economathematics and Ph.D. (1995) at University of Ulm (Germany) and M.S. (1992) in Applied Mathematics at San Diego State University. He joined the Institute of Statistics at Hohenheim University in 1995 and was appointed an Alexander von Humboldt fellow in 1997 to spend a year each at National University of Singapore and SDSU, before he joined UMR in 1998. He was hired at Florida Institute of Technology in 2001, but returned to UMR one year later, where he received tenure in 2004 and was promoted to Full Professor in 2008. Dr. Bohner's research areas include differential, difference, dynamic equations, and their applications to economics, finance, biology, and engineering. He is author of four books and more than 125 research publications, and is Editor-in-Chief of four international journals. His honors at Missouri S&T include five Faculty Excellence Awards and seven Teaching Awards. Dr. Bohner was dubbed an Honorary Knight of St. Patrick in 2006.

Research interests

Dynamic equations on time scales, difference equations, differential equations, q-difference equations, Sturm-Liouville equations, Hamiltonian systems, eigenvalue problems, boundary value problems, oscillation, quadratic functionals, control theory, optimization, variational analysis, applications in biology, economics, and engineering.

Dr. Elena Braverman got her Ph.D. in Russia (former Soviet Union) in 1990, after the postdoctoral and other research experience at the Technion (Israel) and a visiting 1-year position at Yale University, accepted a position at the University of Calgary, Canada where she is now a professor. Her mathematical background is in the theory of delay differential equations but later experience is in numerical analysis, difference equations, mathematical biology. She is an author of more than 150 scientific publications and is also an Associate Editor of Applied Mathematics and Computation and Nonlinear Analysis: Real World Applications.

Dr. Ravi P. Agarwal is Professor and Chair of the Department of Mathematics at the Texas A&M University in Kingsville. His research interests include:

• Nonlinear analysis
• Differential and partial differential equations
• Fixed point theory
• General inequalities.