2 papers
math.PR2026
Stochastic Volterra equations with random functional coefficients in Banach spaces
Alexander Kalinin
We derive unique Banach-valued solutions to stochastic Volterra equations with random coefficients that may depend on pure chance and involve singular kernels. In particular, for c…
math.FA2024
Resolvent and Gronwall inequalities and fixed points of evolution operators
Alexander Kalinin
We introduce kernels and resolvents on preordered sets and derive sharp resolvent inequalities that entail Gronwall inequalities for functions of several variables. In this way, we…