N. Artamonov

activity

20102019

collaborators

3 papers

math.OC2019

Solvability of an Operator Riccati Integral Equation in a Reflexive Banach Space

Nikita Artamonov

We show that if $X$ 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.SP2011

On exponential decay rate of semigroup associated with second order linear differential equation in Hilbert space with strong damping operator

Nikita V. Artamonov

We obtain estimate of the exponential decay rate of semigroup associated with second order linear differential equation $u " + D u^{'} + A u = 0$ in Hilbert space. We assume that $A$ is a self…

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 $u^{''} (t) + D u^{'} (t) + A u (t) = 0$ in Hilbert space $H$ with a sectorial operator $A$ and an accretive operator $D$ is studied…