1 citations · 1 across the 3 of their papers we have counts for
7 papers
Evolution Equations in Hilbert Spaces via the Lacunae Method
Maksim V. Kukushkin
In this paper we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation. We establis…
One more theorem on norm equivalence in the Lebesgue space
Maksim V. Kukushkin
In this paper we consider a norm based on the infinitesimal generator of the shift semigroup in a direction. The relevance of such a focus is guaranteed by an abstract representati…
Convolution operators via orthogonal polynomials
Maksim Kukushkin
In this paper we aim to generalize results obtained in the framework of fractional calculus by the way of reformulating them in terms of operator theory. In its own turn, the achie…
On Smoothness of the Abel Equation Solution in Terms of the Jacoby Series Coefficients
Maksim V. Kukushkin
In this paper we continue the investigation of the Abel equation with the right part belonging to a Lebesgue weighted space. We have improved the previously known result - the uniq…
Abstract Fractional Calculus for m-accretive Operators
Maksim V. Kukushkin
In this paper we aim to construct an abstract model of a differential operator with a fractional integro-differential operator composition in final terms, where modeling is underst…
Riemann-Liouville Operator in Weighted L_p Spaces via the Jacobi Series Expansion
M. V. Kukushkin
In this paper we use the orthogonal system of the Jacobi polynomials as a tool to study the Riemann-Liouville fractional integral and derivative operators on a compact of the real…