2 papers
math.OC2019
Solvability of an Operator Riccati Integral Equation in a Reflexive Banach Space
Nikita Artamonov
We show that if is a reflexive Banach space, then a nonautonomous operator Riccati integral equation has a unique strongly continuous self-adjoint nonnegative solution $P(t)\in…
math.SP2010
Exponential decay of semigroups for second order non-selfadjoint linear differential equations
Nikita Artamonov
The Cauchy problem for second order linear differential equation in Hilbert space with a sectorial operator and an accretive operator is studied…