Second order Cauchy problem with a damping operator.
Sequential regularization of ill-posed problems involving unbounded operators
Slowly decreasing entire functions and convolution equations
Small functions and iterative methods
Iterative methods based on small functions are used both to show local surjectivity of certain operators and a fixed point property of mappings on scales of complete metric spaces.
Solution operators for convolution equations on the germs of analytic functions on compact convex sets in
is compact and convex it is known for a long time that the nonzero constant coefficients linear partial differential operators (of finite or infinite order) are surjective on the space of all analytic functions on G. We consider the question whether solutions of the inhomogeneous equation can be given in terms of a continuous linear operator. For instance we characterize those sets G for which this is always the case.
Solvability of the functional equation f = (T-I)h for vector-valued functions
Let X be a reflexive Banach space and (Ω,,μ) be a probability measure space. Let T: M(μ;X) → M(μ;X) be a linear operator, where M(μ;X) is the space of all X-valued strongly measurable functions on (Ω,,μ). We assume that T is continuous in the sense that if (fₙ) is a sequence in M(μ;X) and in measure for some f ∈ M(μ;X), then also in measure. Then we consider the functional equation f = (T-I)h, where f ∈ M(μ;X) is given. We obtain several conditions for the existence of h ∈ M(μ;X) satisfying...
Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type
Some insights into the regularization of ill-posed problems.
Some properties of the sum of linear operators in the non-differential case.
Some remarks on best regularization
Some theorems on the stability of numerical processes
Nell’articolo si dimostrano alcuni teoremi sulla stabilità dei processi numerici di Ritz e della collocazione in rapporto agli errori di «distorsione».
Spaces of D-paraanalytic elements [Book]
Spectral analysis of a weighted shift operator with unbounded operator coefficients.
Stabilité et convergence dans les problèmes de perturbation singulière
Strongly elliptic operators for a plane wave diffraction problem in Bessel potential spaces.
Su una estensione di un teorema di Tikhonov.
Sulla diseguaglianza di Wirtinger
Sur certaines solutions continues de l’équation fonctinnelle et leur application à la recherche des fonctions moyennes
Sur les domaines des valeurs des opérateurs non-linéaires
Sur les opérateurs multiplicativement liés