Jeffrey Neugebauer, Ph.D.

Professor & Graduate Coordinator

Education

  • Ph.D. Mathematics, Baylor University
  • M.S. Applied Mathematics, University of Dayton
  • B.S. Mathematics, University of Dayton

Research & Academic Interests

  • Ordinary differential equations
  • Boundary value problems
  • Fractional differential equations
  • Integral equations

Publications

  • Paul W. Eloe, Yulong Li, and Jeffrey T. Neugebauer. (2024) A signed maximum principle for boundary value problems for Riemann–Liouville fractional differential equations with analogues of Neumann or periodic boundary conditions. Mathematics, 12(7).
  • Jeffrey T. Neugebauer and Aaron G. Wingo. (2024) Positive solutions for a fractional boundary value problem with Lidstone like boundary conditions. Kragujevac J. Math., 48(2):309–322.
  • Paul W. Eloe and Jeffrey T. Neugebauer. (2023). Maximum and Anti-Maximum Principles for Boundary Value Problems for Ordinary Differential Equations in Neighborhoods of Simple Eigenvalues. Nonlinear Dyn. Syst. Theory, 23(5):507–518.
  • Paul W. Eloe and Jeffrey T. Neugebauer. (2023) Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann-Liouville fractional differential equations in neighborhoods of simple eigenvalues. CUBO, (Aug. 2023):251–272.
  • Paul W. Eloe and Jeffrey T. Neugebauer. (2022) Green’s functions for a fractional boundary value problem with three terms. Foundations, 2(4):885–897.
  • Muhammad N. Islam and Jeffrey T. Neugebauer. (2022) P-periodic solutions of a q-integral equation with finite delay. Differ. Equ. Appl., 14(2):325–333.

Associations, Affiliations & Work History

  • American Mathematical Society

Awards & Accolades

  • College of STEM Excellence in Research Award, Eastern Kentucky University, 2022
  • College of Science’s Excellence in Research Award, Eastern Kentucky University, 2017
  • College of Arts and Sciences’ Outstanding Mentor Award, Eastern Kentucky University, 2016