La méthode de Fourier pour des équations abstraites
Laplace Transforms and ...-Times Integrated Semigroups.
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 Singular Parabolic Equations in Banach Spaces.
Linear Stieltjes integral equations in Banach spaces
Fundamental results concerning Stieltjes integrals for functions with values in Banach spaces have been presented in [5]. The background of the theory is the Kurzweil approach to integration, based on Riemann type integral sums (see e.g. [3]). It is known that the Kurzweil theory leads to the (non-absolutely convergent) Perron-Stieltjes integral in the finite dimensional case. Here basic results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) are presented on the basis of...
Linear Stieltjes integral equations in Banach spaces. II. Operator valued solutions
This paper is a continuation of [9]. In [9] results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) were presented. The Kurzweil type Stieltjes integration in the setting of [6] for Banach space valued functions was used. Here we consider operator valued solutions of the homogeneous problem (t) = I +dt [A(s)](s) as well as the variation-of-constants formula for the former equation.
Linearized stability results in continuous interpolation spaces
L//p-оценки решений одной разностной краевой задачи.
Lyapunov numbers for a countable system of ordinary differential equations