Almost periodic solutions of higher order differential equations on Hilbert spaces.
Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions
We investigate the characterization of almost periodic C-semigroups, via the Hille-Yosida space Z₀, in case of R(C) being non-dense. Analogous results are obtained for C-cosine functions. We also discuss the almost periodicity of integrated semigroups.
Almost-distribution cosine functions and integrated cosine functions
We introduce the notion of almost-distribution cosine functions in a setting similar to that of distribution semigroups defined by Lions. We prove general results on equivalence between almost-distribution cosine functions and α-times integrated cosine functions.
alpha-times Integrated Semigroups (alpha in R-)
An age-dependent population equation with diffusion and delayed birth process.
An Algebraic Approach to Implicit Evolution Equations
A Banach algebra homomorphism on the convolution algebra of integrable functions is the essence of Kisyński's equivalent formulation of the Hille-Yosida theorem for analytic semigroups. For the study of implicit evolution equations the notion of empathy happens to be more appropriate than that of semigroup. This approach is based upon the intertwining of two families of evolution operators and two families of pseudo-resolvents. In this paper we show that the Kisyński approach can be adapted to empathy...
An announcement concerning my preliminary communication “A class of Kreiss-type uniformly bounded systems of operators”
An approximation theorem for semigroups of operators
An averaging principle for stochastic evolution equations. II.
In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.
An elementary construction on nonlinear coherent states associated to generalized Bargmann spaces.
An Elementary Lemma on Sequences of Integers and Its Apllications to Functional Analysis.
An existence result for neutral functional differential inclusions in a Banach space.
An existence theorem for bounded vector-valued functions
An infinite family of joint spectra
An interpolation method to characterize domains of generators of semigroups.
An irreducible semigroup of idempotents
We construct a semigroup of bounded idempotents with no nontrivial invariant closed subspace. This answers a question which was open for some time.
An iterative algorithm by viscosity approximation method for mixed equilibrium problems, variational inclusion and fixed point of an infinite family of pseudo-contractive mappings
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusion problems for inverse strongly monotone mappings and the set of common fixed points for an infinite family of strictly pseudo-contractive mappings in the setting of Hilbert spaces. We prove the strong convergence theorem by using the viscosity approximation method for finding the common element of the above four...
Analycity of the Semigroup Generated by the Stokes Operator.
Analyse spectrale et théorème de prédiction statistique de Wiener
Analysis on Extended Heisenberg Group
In this paper we study Markov semigroups generated by Hörmander-Dunkl type operators on Heisenberg group.