Integral solutions for non-linear evolution equations on Banach space
Integrated semigroups and differential operators on LP spaces.
Integrated semigroups and their application to complete second order Cauchy problems.
Integrated semigroups of unbounded linear operators -- Cauchy problem. II.
Integrodifferential equations with analytic semigroups.
Invariant measures for stochastic Cauchy problems with asymptotically unstable drift semigroup.
Inverse differentiability contractors and equations in Banach spaces
Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space
We show that if the set of all bounded strongly continuous cosine families on a Banach space X is treated as a metric space under the metric of the uniform convergence associated with the operator norm on the space 𝓛(X) of all bounded linear operators on X, then the isolated points of this set are precisely the scalar cosine families. By definition, a scalar cosine family is a cosine family whose members are all scalar multiples of the identity operator. We also show that if the sets of all bounded...
Kneser's Theorem For Weak Solutions Of Ordinary Differential Equations In Banach Spaces
Kneser's theorems for strong, weak and pseudo-solutions of ordinary differential equations in Banach spaces
We investigate the structure of the set of solutions of the Cauchy problem x’ = f(t,x), x(0) = x₀ in Banach spaces. If f satisfies a compactness condition expressed in terms of measures of weak noncompactness, and f is Pettis-integrable, then the set of pseudo-solutions of this problem is a continuum in , the space of all continuous functions from I to E endowed with the weak topology. Under some additional assumptions these solutions are, in fact, weak solutions or strong Carathéodory solutions,...
La méthode de Fourier pour des équations abstraites
Laplace Transforms and ...-Times Integrated Semigroups.
Lemme de Hensel pour les opérateurs différentiels
Lemmes de Hensel pour les opérateurs différentiels, II
L’existence globale et les propriétés asymptotiques des solutions d’une équation différentielle non-linéaire d’ordre
Linear and nonlinear abstract differential equations of high order
The nonlocal boundary value problems for linear and nonlinear degenerate abstract differential equations of arbitrary order are studied. The equations have the variable coefficients and small parameters in principal part. The separability properties for linear problem, sharp coercive estimates for resolvent, discreetness of spectrum and completeness of root elements of the corresponding differential operator are obtained. Moreover, optimal regularity properties for nonlinear problem is established....
Linear differential equations with coefficients in a field I.
Linear parabolic equations in Banach spaces with variable domains but constant interpolation spaces
Linear second order differential equations with discontinuous coefficients in Hilbert spaces
Linear Singular Parabolic Equations in Banach Spaces.