arXiv subjects

Nikita Artamonov

Publications and source records attributed to Nikita Artamonov.

2 recordsLinked to original sources

arXiv2019

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

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 $P(t)\in\mathcal{L}(X,X^*)$

math.OC↗

arXiv2010

Exponential decay of semigroups for second order non-selfadjoint linear differential equations

The Cauchy problem for second order linear differential equation $u''(t)+Du'(t)+Au(t)=0$ in Hilbert space $H$ with a sectorial operator $A$ and an accretive operator $D$ is studied. Sufficient conditions for exponential decay of the solutions are obtained.

math.SP↗