On some wavelet type linear operators
Abstract In this paper is introduced a general a class \(\left( L_{k}\right)_{k\in\mathbb{Z}}\) of linear positive operators of wavelet type. The…
2002
The mysterious wavelets world
Abstract This survey paper contains the basic ideas of windowed Fourier transform, wavelet transform, wavelet bases and multiresolution analysis, providing…
On some new operators of discrete type
Abstract In this paper we are dealing with a general class of linear and positive operators of discrete type. We…
On the rate of convergence for semigroups and processes of Feller type
Abstract Based on the probabilistic theory, the paper contains local estimates of the rate of convergence for contraction~\(C_{0}\)-semigroup. Simultaneously a…
An inequality wich arises in the absence of the mountain pass geometry
Abstract An integral inequality is deduced from the negation of the geometrical condition in the bounded mountain pass theorem of…
On the method of upper and lower solutions
Abstract Some results concerning the method of upper and lower solutions for nonlinear integral equations of Hammerstein type are presented.…
Some existence results for differential equations with both retarded and advanced arguments
Abstract Existence, uniqueness an monotone approximation of solutions to the Cauchy problem for differential equations with both advanced and retarded…
Fixed point theorems for acyclic multivalued maps and inclusions of Hammerstein type
AbstractThe aim of this lecture is to present a new compactness method for operator inclusions in general, and for Hammerstein…
Abstract generalized quasiliniarization method for coincidences
Abstract An abstract unified theory of both monotone iterative and generalized quasilinearization methods is presented for operator equations of coincidence…
Integrable solutions of Hammerstein integral inclusions in Banach spaces
AbstractIn this paper we present a common existence theory for both continuous and integrable solutions to Hammerstein inclusions in Banach…