First-order differential equations of the hyperbolic type.
Fixed time impulsive differential inclusions.
Flow invariance for perturbed nonlinear evolution equations.
Fonctions hypergéométriques bornées
Fourier multipliers for Hölder continuous functions and maximal regularity
Two operator-valued Fourier multiplier theorems for Hölder spaces are proved, one periodic, the other on the line. In contrast to the -situation they hold for arbitrary Banach spaces. As a consequence, maximal regularity in the sense of Hölder can be characterized by simple resolvent estimates of the underlying operator.
Fractional evolution equations governed by coercive differential operators.
Fredholm property for a parameter dependent second order operator differential equation.
Fredholmness of an abstract differential equation of elliptic type.
Functional differential equations in Banach spaces: Growth and decay of solutions.
Functional differential equations with non-local boundary conditions.
Functional differential equations with nonlocal initial conditions.
Functional-differential equations with Riemann-Liouville integrals in the nonlinearities
A sufficient condition for the nonexistence of blowing-up solutions to evolution functional-differential equations in Banach spaces with the Riemann-Liouville integrals in their right-hand sides is proved. The linear part of such type of equations is an infinitesimal generator of a strongly continuous semigroup of linear bounded operators. The proof of the main result is based on a desingularization method applied by the author in his papers on integral inequalities with weakly singular kernels....
Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes
The exponential stability property of an evolutionary process is characterized in terms of the existence of some functionals on certain function spaces. Thus are generalized some well-known results obtained by Datko, Rolewicz, Littman and Van Neerven.
Functionals on sequence spaces connected with the exponential stability of evolutionary processes.
Fundamental central dispersion in a simple system
Fundamental central dispersions in a double system
Fundamental decay mode and asymptotic behaviour of positive semigroups
Fundamental operator-valued functions of singular differential operators in Banach spaces.
Galerkin approximations for nonlinear evolution inclusions
In this paper we study the convergence properties of the Galerkin approximations to a nonlinear, nonautonomous evolution inclusion and use them to determine the structural properties of the solution set and establish the existence of periodic solutions. An example of a multivalued parabolic p.d.ei̇s also worked out in detail.
Gateaux Differentials in Banach Algebras.