
Toka Diagana, Ph.D.
Professor
Address
Department of Mathematics
Howard University
Washington DC 20059
Office
ASB 209
ph: 2028067123
fax: 2028066831
email: tdiagana@howard.edu
My personal web page
Education
Ph. D. (1999) Université Claude Bernard  Lyon, France
Research Interests:
 Evolution Equations
 Operator Theory
 Functional Analysis
 Stochastic Differential Equations
 Difference Equations
 Integrodifferential Equations
 Padic Spectral Theory
I am interested in the study of the stability, the existence and
uniqueness of (periodic, almost periodic, almost automorphic, pseudoalmost periodic, pseudoalmost
automorphic) solutions to degenerate differential equations, fractional differential equations,
difference equations, integrodifferential equations, and stochastic differential equations as well
as their applications to practical problems.
I am also interested in a general spectral theory for unbounded linear operators in the padic setting.
Latest Books
 Almost automorphic type and almost periodic type functions in abstract spaces, Springer, New York, 2013
 (with P. H. Bezandry) Almost Periodic Stochastic Processes, Springer, New York, 2011, 235 pp.
Recent Publications
 (with F. Ramaroson)Spectral Theory for Finite Rank Perturbations of Unbounded Diagonal Operators in NonArchimedean Hilbert Space.Contemporary Mathematics (American Math. Society.2015(In Press).
 (With Aymen Ammar and Aref Jeribi) Perturbations of Fredholm Linear Relations in Banach Spaces with Application to 3x3 Block Matrices of Linear Relations.Arab Journal of Mathematical Sciences2015(In Press).
 Perturbations of Unbounded Fredholm Linear Operators in Banach Spaces.Handbook in Operator Theory, Springer, pp. 15, 2014.
 Existence Results for Some HigherOrder Evolution Equations with TimeDependent Unbounded Operator Coefficients. Math. Slovaca 65(2015), no.1, 121140.
 (with R. Kerby, T. H. Miabey, and F. Ramaroson)Spectral analysis for finite rank perturbations of diagonal operators in nonarchimedean Hilbert space.PAdic Numbers Ultrametric Anal.6 (2014), no. 3, pp. 171187.
 Almost automorphic solutions to a BevertonHolt dynamic equation with survival rate. Appl. Math. Lett. 36 (2014), pp. 1924.
 Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations. Rocky Mt. J. Math. 43 (2013), No. 3, 793824.
 (with P. H. Bezandry) SquareMean Almost Periodic Solutions to Some Classes of Nonautonomous Stochastic Evolution Equations With Finite Delay. J. Appl. Funct. Anal. 7 (2012), no. 4, 345366.
 Almost periodic solutions to some secondorder nonautonomous differential equations. Proc. Amer. Math. Soc. 140 (2012), no. 1, 279289.
 Pseudoalmost periodic solutions for some classes of nonautonomous partial evolutions equations. J. Franklin Inst. 348 (2011), no. 8, 2082  2098.
 Almost periodic solutions for some higherorder nonautonomous differential equations with operator coefficients. Math. Comput. Modeling 54 (2011), no. 1112, 2672  2685.
 Almost automorphic mild solutions to some classes of nonautonomous higherorder differential equations. Semigroup Forum 82 (2011), no. 3, pp. 455477.
 Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations. J. Math. Anal. Appl. 350 (2009), no. 1, 1828.
 (with M. Baroun, S. Boulite, and L. Maniar), Almost periodic solutions to some semilinear nonautonomous thermoelastic plate equations. J. Math. Anal. Appl. 349 (2009), no. 1, 7484.
 (with H. Henriquez and E. Hernandez), Asymptotically almost periodic solutions to some classes of secondorder functional differential equations. Differential Integral Equations 21 (2008), no. 56, 575600.
 (with P. H. Bezandry and S. Elaydi), On the stochastic BevertonHolt equation with survival rates. J. Difference Equ. Appl. 14 (2008), no. 2, pp. 175190.
Editorship
I serve in the editorial board of several mathematical journals including the following:
 Communications in Mathematical Analysis (CMA)
 Journal of Abstract Differential Equations and Applications (JADEA)
 African Diaspora Journal Of Mathematics (ADJM)
