Differential operators with non dense domain
Differential subordination results for new classes of the family .
Differential-algebraic equations in the theory of invariant manifolds for singular equations.
Diffusion phenomenon for second order linear evolution equations
We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.
Discrete methods and exponential dichotomy of semigroups.
Discretization methods for nonconvex differential inclusions.
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.