3 papers
math.OC2016
KW-models for (multivariate) linear differential systems
Vakhtang Lomadze
A class of state models, called Kronecker-Weierstrass models (or, simply, KW-models), is introduced, and the state representation problem for linear differential systems is studied…
math.CA2016
An elementary purely algebraic approach to generalized functions and operational calculus
Vakhtang Lomadze
The space of Schwartz distributions of finite order is represented as a factor space of the space of, what we call, Mikusinski functions. The point of Mikusinski functions is that…
math.CA2016
Differential equations defined on algebraic curves
Vakhtang Lomadze
The class of ordinary linear constant coefficient differential equations is naturally embedded into a wider class by associating differential equations to algebraic curves.