Dr. Toka Diagana

Department Chair, Mathematical Sciences Department

Education

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

Experience

Professor (University of Alabama in Huntsville, 2018-present)
Professor (Howard University, 2007-2018)
Associate Professor (Howard University, 2004-2007)
Assistant Professor (Howard University, 2002-2004)
Lecturer (Howard University, 2000-2002)

Books

Semilinear Evolution Equations and Their Applications. Springer, New York, 2018.
Non-Archimedean Operator Theory. Springer, New York, 2016. (with F. Ramaroson)
Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces. Springer, New York, 2013.
Almost Periodic Stochastic Processes. Springer, New York, 2011. (with P. Bezandry)

Selected Publications

Bounded solutions for impulsive semilinear evolution equations with non-local conditions. In Book: Mathematical Modeling of Random and Deterministic Phenomena. ISTE Ltd, London, Wiley, (2020), p. 139-157. (with H. Leiva).
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).

Some new identities and congruences for Fubini numbers. Journal of Number Theory 173 (2017), p. 547-569. (H. Maiga).
Spectral theory for finite rank perturbations of unbounded diagonal operators in non-Archimedean Hilbert space. Advances in non-Archimedean analysis, 29—40, Contemporary Mathematics 665, American Mathematical Society, 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.
Almost automorphic solutions to a Beverton-Holt dynamic equation with survival rate. Applied Mathematics Letters 36 (2014), p. 19-24.
Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations. Rocky Mount Journal of Mathematics 43 (2013), No. 3, p. 793-824.
Square-mean almost periodic solutions to some classes of nonautonomous stochastic evolution equations with finite delay. Journal of Applied Functional Analysis 7 (2012), no. 4, p. 345--366. (with P. Bezandry).
Almost periodic solutions to some second-order nonautonomous differential equations. Proceedings of the American Mathematical Society 140 (2012), no. 1, p. 279--289.
Almost automorphic mild solutions to some classes of nonautonomous higher-order differential equations. Semigroup Forum 82 (2011), no. 3, p. 455-477.
Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations. Journal of Mathematical Analysis and Applications 350 (2009), no. 1, p. 18--28.
Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations. Journal of Mathematical Analysis and Applications 349 (2009), no. 1, p. 74--84. (with M. Baroun, S. Boulite, and L. Maniar).
Asymptotically almost periodic solutions to some classes of second-order functional differential equations. Differential Integral Equations 21 (2008), no. 5-6, p. 575--600. (with H. Henriquez and E. Hernandez)
On the stochastic Beverton-Holt equations with survival rates. Journal of Difference Equations and Applications 14 (2008), p. 175-190. (with P. Bezandry and Saber Elaydi).

Editorial Boards

Nonautonomous Dynamical Systems (Editor-in-chief)
Communications in Mathematical Analysis (Editor-in-chief)

Fractional Differential Calculus (Associate Editor)
International Journal of Differential Equations (Associate Editor)
Cogent Mathematics (Associate Editor)
Afrika Matematika (Associate Editor)
Involve: A Journal of Mathematics (Associate Editor)