Toka Diagana, Ph.D.

Department Chair, Mathematical Sciences Professor

Contact

301 Sparkman Drive
Shelby Center
Room 258B
Huntsville, AL 35899
Campus Map

256.824.6498
toka.diagana@uah.edu

Biography

Curriculum Vitae

Education

  • Ph. D., Mathematics, Claude Bernard University - Lyon 1, France, 1999

Affiliations

  • American Mathematical Society Centennial Fellowship Selection Committee (2020-2022)
  • Nonautonomous Dynamical Systems (Editor-in-chief) (2016-2024)
  • Fractional Differential Calculus (Associate Editor)
  • International Journal of Differential Equations (Associate Editor)
  • Research in Mathematics (Associate Editor)
  • Afrika Matematika (Associate Editor)

Expertise

  • Differential equations in abstract spaces
  • Stochastic differential equations
  • Integrodifferential equations
  • Operator theory
  • Functional analysis
  • Difference equations & Mathematical biology
  • p-adic analysis & Spectral theory

Recent Publications

  • Analysis of the dynamics of the Sigmoid Beverton-Holt model with overlapping generations in the projective line P^1(Q_p). P-Adic Numbers, Ultrametric Analysis and Applications, Vol. 17 (2025), pp 62-77. (with Bertin Diarra). 

  • The long-term behavior of the p-adic Sigmoid Beverton-Holt dynamical systems in the projective line P^1(Q_p). Journal of Mathematical Analysis and Applications, 2023. 
    https://www.sciencedirect.com/science/article/pii/S0022247X23006418?via%3Dihub

  • Well-posedness and stability results for some nonautonomous abstract linear hyperbolic equations with memory.  Semigroup Forum 105 (2022), pp. 351--373. (with W. Khulaifi and A. Guesmia)

  • Existence of asymptotically almost periodic solutions for some second-order hyperbolic integrodifferential equations. Semigroup Forum, Vol. 102 (2021), pp. 104-119. (with J. H. Hassan and S. A. Messaoudi).

  • Exponential stability for solutions of continuous and discrete abstract Cauchy problems in Banach spaces. Electron. J. Differential Equations (2019), No. 78, 16 pp. (with C. Buse, L. T. Nguyen, and D. O'Regan).

  • Almost periodic solutions for some semilinear singular difference equations. Journal of Difference Equations and Applications 24 (2018), no. 1, p. 138-147. (with D. Pennequin).

  • Semilinear Evolution Equations and Their Applications. Springer, New York, 2018.

  • Some new identities and congruences for Fubini numbers. Journal of Number Theory, Vol. 173 (2017), p. 547-569. (with H. Maiga)

  • Non-Archimedean Operator Theory. Springer, New York, 2016. (with F. Ramaroson)

  • Existence results for some higher-order evolution equations with time-dependent unbounded operator coefficients. Mathematica Slovaca 65 (2015), no.1, p. 121-140.