Properties of families of exponential function (non-harmonic series).
Controllability of distributed parameter systems.
Inverse problems of Mathematical Physics
Magnet anomalies
Main publications:
S. Ivanov; L. Pandolfi, “Heat equation with memory: lack of controllability to rest”, Journal of Mathematical Analisys and Applications, 355 (2009), 1–11
A. Eremenko, S.A. Ivanov, “Spectra of the Gurtin–Pipkin Type Equations”, SIAM J. Math. Anal., 43 (2011), 2296–2306
S.A. Avdoni, S.A. Ivanov, Families of exponentials, The method of moments in controllability problems for distributed parameter systems, Cambridge University Press, Cambridge, 1995