Eine Verallgemeinerung der Riccatischen Differentialgleichung in Körpern der Charakteristik p = 2.
Empathy theory and the Laplace transform
This paper is concerned with double families of evolution operators employed in the study of dynamical systems in which cause and effect are represented in different Banach spaces. The main tool is the Laplace transform of vector-valued functions. It is used to define the generator of the double family which is a pair of unbounded linear operators and relates to implicit evolution equations in a direct manner. The characterization of generators for a special class of evolutions is presented.
Epidemiological Models With Parametric Heterogeneity : Deterministic Theory for Closed Populations
We present a unified mathematical approach to epidemiological models with parametric heterogeneity, i.e., to the models that describe individuals in the population as having specific parameter (trait) values that vary from one individuals to another. This is a natural framework to model, e.g., heterogeneity in susceptibility or infectivity of individuals. We review, along with the necessary theory, the results obtained using the discussed approach....
Équation d’évolution sur , avec condition en plusieurs points
Équations différentielles algébriques
Équations différentielles algébriques
Équations différentielles linéaires et majorations de multiplicités
Équations différentielles ordinaires dans les espaces des fonctions bornées
Équations différentielles -adiques. Croissance des solutions, factorisation, indice
Error estimates and step-size control for the approximate solution of a first order evolution equation
Error estimates of a numerical method for a class of nonlinear evolution equations
Euler approximation of nonconvex discontinuous differential inclusions.
Euler polygons and Kneser's theorem for solutions of differential equations in Banach spaces
Evolution differential equations in Fréchet sequence spaces
We consider evolution differential equations in Fréchet spaces with unconditional Schauder basis, and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE are also considered.
Evolution equations governed by families of weighted operators
Evolution equations in discrete and continuous time for nonexpansive operators in Banach spaces
We consider some discrete and continuous dynamics in a Banach space involving a non expansive operator J and a corresponding family of strictly contracting operators Φ (λ, x): = λ J(x) for λ ∈ ] 0,1] . Our motivation comes from the study of two-player zero-sum repeated games, where the value of the n-stage game (resp. the value of the λ-discounted game) satisfies the relation vn = Φ(, ) (resp. = Φ(λ, )) where J is the Shapley operator of the game. We study the evolution equation u'(t) =...
Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms
Similarly to quasidifferential equations of Panasyuk, the so-called mutational equations of Aubin provide a generalization of ordinary differential equations to locally compact metric spaces. Here we present their extension to a nonempty set with a possibly nonsymmetric distance. In spite of lacking any linear structures, a distribution-like approach leads to so-called right-hand forward solutions. These extensions are mainly motivated by compact subsets of the Euclidean space...
Evolution equations with parameter in the hyperbolic case
The purpose of this paper is to give theorems on continuity and differentiability with respect to (h,t) of the solution of the initial value problem du/dt = A(h,t)u + f(h,t), u(0) = u₀(h) with parameter in the “hyperbolic” case.
Evolution inclusions in non separable Banach spaces
We study a Cauchy problem for non-convex valued evolution inclusions in non separable Banach spaces under Filippov type assumptions. We establish existence and relaxation theorems.
Evolution inclusions of the subdifferential type depending on a parameter.