Existence theorems for differential inclusions with nonconvex right-hand side.
Existence, uniqueness and continuous dependence of solutions of differential equations in Banach space
Existence, uniqueness and continuous dependence on the parameter of solutions of a system of differential equations with deviating argument
Expansional in banach algebras
Explicit solutions for boundary value problems related to the operator equations
Cauchy problem, boundary value problems with a boundary value condition and Sturm-Liouville problems related to the operator differential equation are studied for the general case, even when the algebraic equation is unsolvable. Explicit expressions for the solutions in terms of data problem are given and computable expressions of the solutions for the finite-dimensional case are made available.
Exponential dichotomy for evolution families on the real line.
Exponential dichotomy of evolutionary processes in Banach spaces
Exponential expansiveness and complete admissibility for evolution families
Connections between uniform exponential expansiveness and complete admissibility of the pair are studied. A discrete version for a theorem due to Van Minh, Räbiger and Schnaubelt is presented. Equivalent characterizations of Perron type for uniform exponential expansiveness of evolution families in terms of complete admissibility are given.
Exponential formula for one-time integrated semigroups.
Exponential stability conditions for non-autonomous differential equations with unbounded commutators in a Banach space
We consider the equation , where is the generator of an analytic semigroup on a Banach space , is a variable bounded operator in . It is assumed...
Exponential stability for abstract linear autonomous functional differential equations with infinite delay.
Exponentially convergent parallel discretization methods for the first order evolution equations.
Exposants, irrégularités et multiplicités
Extrapolation methods to solve non-autonomous retarded partial differential equations
Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.
Extremal solutions to a class of multivalued integral equations in Banach space.
Factorisation d'opérateurs différentiels à coefficients dans une extension liouvillienne d'un corps valué
On démontre ici un lemme de Hensel pour les opérateurs différentiels. On en déduit un théorème de factorisation pour des opérateurs différentiels à coefficients dans une extension liouvillienne transcendante d’un corps valué. On obtient en particulier un théorème de factorisation pour des opérateurs différentiels à coefficients dans une extension de par un nombre fini d’exponentielles et de logarithmes algébriquement indépendants sur .
Factorisation d'un opérateur différentiel
Factorisation d'un opérateur différentiel. Applications
Factorisation d'un opérateur différentiel, III
Fine scales of decay of operator semigroups
Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay of operator semigroups and yields a number of new ones. Its core is a new operator-theoretical method of deriving rates of decay combining ingredients from functional calculus and complex, real and harmonic analysis. It also leads to several results of independent...