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Youssef Raffoul


Full-Time Faculty

College of Arts and Sciences: Mathematics


Email: Youssef Raffoul
Phone: 937-229-2104
SC 302A


  • Ph.D., Southern Illinois University at Carbondale, 1996
  • M.S., University of Dayton, 1989
  • B.S., University of Dayton, 1987


Dr. Youssef Raffoul holds the rank of Professor and is the Graduate Program Director in the Department of Mathematics at the University of Dayton. He joined the faculty in 1999. Dr. Raffoul obtained a B.S. and M.S. from the University of Dayton in mathematics in 1987 and 1989, respectively. After receiving his Ph.D. in mathematics from Southern Illinois University at Carbondale in 1996, he joined the faculty of the Mathematics Department at Tougaloo College in Mississippi, where he became the department chair for two years until he came to Dayton.

Professor Raffoul has published extensively in the area of functional differential and difference equations and has won several awards for his research, most recently, the Career in Science Award from the Lebanese Government.  In 2018, Prof. Raffoul published Qualitative Theory of Volterra Difference Equationsa comprehensive study of the theory and applications of Volterra difference equations.

Research interests

  • Differential/difference equations
  • Integral equations
  • Integrodifferential equations


  • Recipient of Order of Merit, Silver Medal with Distinction (Second Class out of Four Classes), Presented by the President of Lebanon, General Michel Aoun, April 16, 2022. The Order was created by Decision No. 1080 dated Jan. 16, 1922 by the French government of the Mandated Territory and amended by the Decree of Dec. 13 1927.
  • Given the Title “Allama”, العلَّامة by the Lebanese Government, April 16, 2022.
  • Recipient of Life Time Achievement Award, Archbishop of Lebanon, December 2021.
  • Recipient of the Career in Science Excellence Award, Awarded by the Lebanese Government April 26, 2018.
  • Winner of the 2009 University of Dayton Alumni Award in Scholarship.
  • Winner of the University of Dayton College of Arts and Sciences’ Award for Outstanding Scholarship, 2005.

Selected publications

N. Raffoul, Qualitative Theory of Volterra Difference Equations, Springer, Switzerland, 2018.

Y. N. Raffoul, and Murat Adivar, Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time, Springer, Switzerland, 2020.

Y. N. Raffoul, Advanced Differential Equations, Elsevier/Academic Press, April 19, 2022. equations/raffoul/978-0-323-99280

Y. N. Raffoul, Applied Mathematics For Scientists And Engineers, Taylor & Francis/ Chapman and Hill/CRC September (2023).