Eine Verallgemeinerung der Riccatischen Differentialgleichung in Körpern der Charakteristik p = 2.
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....
Équations différentielles ordinaires dans les espaces des fonctions bornées
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 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 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 of the subdifferential type depending on a parameter.
Evolution inclusions of the subdifferential type depending on a parameter
In this paper we study evolution inclusions generated by time dependent convex subdifferentials, with the orientor field depending on a parameter. Under reasonable hypotheses on the data, we show that the solution set is both Vietoris and Hausdorff metric continuous in . Using these results, we study the variational stability of a class of nonlinear parabolic optimal control problems.
Evolution problems associated with nonconvex closed moving sets with bounded variation.
Existence and asymptotic behaviour of solutions of a nonlinear evolution problem
We prove existence and asymptotic behaviour of a weak solutions of a mixed problem for where is the pseudo-Laplacian operator.
Existence and density results for retarded subdifferential evolution inclusions
In this paper we study Cauchy problems for retarded evolution inclusions, where the Fréchet subdifferential of a function F:Ω→R∪{+∞} (Ω is an open subset of a real separable Hilbert space) having a φ-monotone subdifferential of oder two is present. First we establish the existence of extremal trajectories and we show that the set of these trajectories is dense in the solution set of the original convex problem for the norm topology of the Banach space C([-r, T₀], Ω) ("strong relaxation theorem")....
Existence and global asymptotical stability of periodic solution for the -periodic logistic system with time-varying generating operators and -periodic impulsive perturbations on Banach spaces.
Existence and limiting behaviour for damped nonlinear evolution equations with nonlocal terms
Existence and relaxation results for nonlinear evolution inclusions revisited.
Existence and relaxation results for nonlinear second order evolution inclusions
In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.
Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem.