Ein Beitrag zur Verzweigungstheorie.
Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen.
Ein selektives Projektions-Iterationsverfahren und Anwendungen auf Verzweigungsprobleme.
Ein Störungssatz für positive Eigenwerte kondensierender mengenwertiger Abbildungen in lokalkonvexen topologischen Vektorräumen
Eine Existenzausgabe für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0.
Elliptic Equations with Noninvertible Fredholm Linear Part and Bounded Nonlinearities.
Elliptic resonance problems with unequal limits at infinity.
Equation with residuated functions
The structure of solution-sets for the equation is discussed, where are given residuated functions mapping between partially-ordered sets. An algorithm is proposed which produces a solution in the event of finite termination: this solution is maximal relative to initial trial values of . Properties are defined which are sufficient for finite termination. The particular case of max-based linear algebra is discussed, with application to the synchronisation problem for discrete-event systems;...
Equations with discontinuous nonlinear semimonotone operators
The aim of this paper is to present an existence theorem for the operator equation of Hammerstein type with the discontinuous semimonotone operator . Then the result is used to prove the existence of solution of the equations of Urysohn type. Some examples in the theory of nonlinear equations in are given for illustration.
Equilibrium for perturbations of multifunctions by convex processes.
Equivalence of some geometric and related results of nonlinear functional analysis
Equivalent solutions of nonlinear equations in a topological vector space with a wedge.
Errata-Corrigé : «Remarques sur les équations de Navier-Stokes stationnaires»
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) =...
Existence and number of solutions to semilinear equations with applications to boundary-value problems.
Existence and uniqueness of solutions for gradient systems without a compactness embedding condition
This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple considered in the setting of this paper is such that the embedding is only continuous.
Existence of nonzero nonnegative solutions of semilinear equations at resonance
The existence of nonzero nonnegative solutions are established for semilinear equations at resonance with the zero solution and possessing at most linear growth. Applications are given to nonlinear boundary value problems of ordinary differential equations.
Existence of optimal controls for control systems governed by nonlinear partial differential equations
Existence of solutions for operator inclusions : a unified approach