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A. The necessary and sufficient conditions are derived in or- der that a strong type weighted inequality be fulfilled in Orlicz classes for scalar and vector-valued maximal
Nonimprovable, in general, estimates of the number of necessary and sufficient conditions for two Hermitian operators to be unitarily equaivalent in a unitary space are obtained
In the present paper, we use the results proved in [1,2] to establish new sufficient conditions for the solvability of problem (1.1), (1.2). Basic notation and terms. if all
Conditions for the boundedness are established, and the norms of Volterra type one-dimensional integral operators with fixed singularities of first order in the kernel are calculated
We establish sufficient conditions under which the rate function for the Euler approximation scheme for a solution of a one-dimensional sto- chastic differential equation on the
In this paper we are concerned with a class of nonlinear differential equations and obtaining the sufficient conditions for the uniqueness of the periodic solution by using
We recall that all the assumptions imposed on τ in Section 1 are fulfilled and suppose that ϕ is a solution of the corresponding Schr¨ oder equation with the properties guaranteed
In this paper we prove sufficient conditions for the existence of global solutions of nonlinear functional-differential evolution equations whose linear parts are infin-
