On a class of differential equations in Banach space
On a class of multitime evolution equations with nonlocal initial conditions.
On a higher-order evolution equation with a Stepanov-bounded solution.
On a result of Etgen and Lewis
On a spectral criterion for almost periodicity of solutions of periodic evolution equations.
On a type of linear differential equations in Fréchet spaces
On almost automorphic solutions of linear operational-differential equations.
On almost periodic solutions of the differential equation in Hilbert spaces.
On an abstract evolution equation with a spectral operator of scalar type.
On an th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution.
On bounded time-dependent perturbations of operator cosine functions.
On exponential dichotomy of semigroups.
On exponential growth of solutions of abstract initial value problems
On exponents of p-adic differential modules.
On first-order differential operators with Bohr-Neugebauer type property.
On -quasi-derivatives for solutions of perturbed general quasi-differential equations
This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of th order with complex coefficients , provided that all th quasi-derivatives of solutions of and all solutions of its normal adjoint are in and under suitable conditions on the function .
On local -times integrated -semigroups.
On nonautonomous second-order differential equations on Banach space.
On optimal regularity in evolution equations
Using interpolation techniques we prove an optimal regularity theorem for the convolution , where is a strongly continuous semigroup in general Banach space. In the case of abstract parabolic problems – that is, when is an analytic semigroup – it lets us recover in a unified way previous regularity results. It may be applied also to some non analytic semigroups, such as the realization of the Ornstein-Uhlenbeck semigroup in , , in which case it yields new optimal regularity results in fractional...
On periodic solutions of abstract differential equations.