Evolution operators related to semi-groups of class (A).
Exact controllability of a non-linear generalized damped wave equation: Application to the sine-Gordon equation.
Exact linear lumping in abstract spaces.
Existence and regularity results for abstract non autonomous parabolic equations
Si studiano esistenza, unicità e regolarità delle soluzioni strette, classiche e forti dell’equazione di evoluzione non autonoma , con il dato iniziale , in spazi di Banach. I dominii degli operatori variano in e non sono necessariamente densi in . Si danno condizioni necessarie e sufficienti per l'esistenza e la regolarità holderiana della soluzione e della sua derivata.
Existence and uniqueness of periodic solutions of linear differential equations in Banach spaces
Existence of convex and non convex local solutions for fractional differential inclusions.
Existence of solutions for integrodifferential inclusions in Banach spaces.
Existence of the fundamental solution of a second order evolution equation
We give sufficient conditions for the existence of the fundamental solution of a second order evolution equation. The proof is based on stable approximations of an operator A(t) by a sequence of bounded operators.
Existence of weak solutions for abstract hyperbolic-parabolic equations.
Existence results for a second-order abstract Cauchy problem with nonlocal conditions.
Existence results for differential equations in Banach spaces
This paper presents existence results for initial and boundary value problems for nonlinear differential equations in Banach spaces.
Existence theorems for differential inclusions with nonconvex right-hand side.
Existence, uniqueness and continuous dependence of solutions of differential equations in Banach space
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 formula for one-time integrated semigroups.
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.