Integraldarstellung regulärer Operatoren auf Banachverbänden.
Intégrales de résolvantes et calcul symbolique
Soit une transformée de Stieltjes. Notant un prolongement de la fonction à , on définit, pour tout espace de Banach et pour tout opérateur sur qui soit de domaine dense, fermé, d’ensemble résolvant contenant et qui vérifie , un opérateur qui est un opérateur sur de même nature que . On montre que l’on a (où désigne le spectre étendu). En outre, l’opération a d’excellentes propriétés de stabilité. En particulier, si et si est un potentiel abstrait, est un potentiel...
Intégrales singulières, opérateurs multilinéaires et équations aux dérivées partielles
Integral-type operators from a mixed norm space to a Bloch-type space on the unit ball.
Integral-type operators from spaces to Zygmund-type spaces on the unit ball.
Integrated cosine functions.
Integrated semigroups and integrodifferential equations.
Integrated Semigroups and Integrodifferential Equations.
Integrated semigroups and their application to complete second order Cauchy problems.
Integrated semigroups, C-semigroups, and the abstract Cauchy problem.
Integrated semigroups of unbounded linear operators -- Cauchy problem. II.
Integrated version of the Post-Widder inversion formula for Laplace transforms
We establish an inversion formula of Post-Widder type for -multiplied vector-valued Laplace transforms (α > 0). This result implies an inversion theorem for resolvents of generators of α-times integrated families (semigroups and cosine functions) which, in particular, provides a unified proof of previously known inversion formulae for α-times integrated semigroups.
Integration and the Feynman-Kac formula
Integration of vector-valued functions with respect to an operator-valued measure
Integration Operators on Bergman Spaces with exponential weight.
Integration with respect to the canonical spectral measure in sequence spaces.
Integro-differential equations on time scales with Henstock-Kurzweil delta integrals
In this paper we prove existence theorems for integro - differential equations , t ∈ Iₐ = [0,a] ∩ T, a ∈ R₊, x(0) = x₀ where T denotes a time scale (nonempty closed subset of real numbers R), Iₐ is a time scale interval. Functions f,k are Carathéodory functions with values in a Banach space E and the integral is taken in the sense of Henstock-Kurzweil delta integral, which generalizes the Henstock-Kurzweil integral. Additionally, functions f and k satisfy some boundary conditions and conditions...
Integro-differential equations with time-varying delay
Integro-differential equations with time-varying delay can provide us with realistic models of many real world phenomena. Delayed Lotka-Volterra predator-prey systems arise in ecology. We investigate the numerical solution of a system of two integro-differential equations with time-varying delay and the given initial function. We will present an approach based on -step methods using quadrature formulas.
Interaction of Periodic and Stationary Bifurcation from Multiple Eigenvalues.
Interchangeability of unbounded linear operators: General theory of transmutativity