Équations d'évolution du type hyperbolique non strict
Équations d'évolution en norme uniforme (conditions nécessaires et suffisantes de résolution et holomorphie)
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.
Equicontinuous families of operators generating mean periodic maps
The existence of mean periodic functions in the sense of L. Schwartz, generated, in various ways, by an equicontinuous group or an equicontinuous cosine function forces the spectral structure of the infinitesimal generator of or . In particular, it is proved under fairly general hypotheses that the spectrum has no accumulation point and that the continuous spectrum is empty.
Equilibria and Stability in Set-Valued Analysis: a Viability Approach
Equilibria and strict equilibria of multivalued maps on noninvariant sets
This paper is concerned with existence of equilibrium of a set-valued map in a given compact subset of a finite-dimensional space. Previously known conditions ensuring existence of equilibrium imply that the set is either invariant or viable for the differential inclusion generated by the set-valued map. We obtain some equilibrium existence results with conditions which imply neither invariance nor viability of the given set. The problem of existence of strict equilibria is also discussed.
Equilibrium for perturbations of multifunctions by convex processes.
Equilibrium of maximal monotone operator in a given set
Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in [10].
Equilibrium points for a wave equation with boundary control containing an integral term. (Points d'équilibre pour une équation des ondes avec contrôle frontière contenant un terme intégral.)
Equilibrium points of random generalized games.
Equivalence and stability of random fixed point iterative procedures.
Equivalence of Boundary Eigenvalue Operator Fuctions and their Characteristic Matrix Functions.
Equivalence of Decomposability and 2-Decomposability for Several Commuting Operators.
Equivalence of Functional-Differential Equations of Neutral Type and Abstract Cauchy Problems.
Equivalence of -irreducibility concepts
Equivalence of some geometric and related results of nonlinear functional analysis
Equivalences involving (p,q)-multi-norms
We consider (p,q)-multi-norms and standard t-multi-norms based on Banach spaces of the form , and resolve some question about the mutual equivalence of two such multi-norms. We introduce a new multi-norm, called the [p,q]-concave multi-norm, and relate it to the standard t-multi-norm.
Equivalences of C*-dynamical systems
Equivalent contractive conditions in metric spaces.
Equivalent solutions of nonlinear equations in a topological vector space with a wedge.