On the antimaximum principle for parabolic periodic problems with weight.
On the approximation numbers of large Toeplitz matrices.
On the asymptotic integration of nonlinear dynamic equations.
On the asymptotic properties of quantum dynamics in the presence of a fractal spectrum
On the connectedness of the set of fixed points of a compact operator in the Fréchet space
On the controllability of fractional dynamical systems
This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.
On the correct formulation of a nonlinear differential equation in Banach spaces.
On the essential spectrum of many-particle pseudorelativistic Hamiltonians with permutational symmetry account.
On the essential spectrum of the Jansen-Hess operator for two-electron ions.
On the existence and convergence of approximate solutions for equilibrium problems in Banach spaces.
On the existence and the stability of solutions for higher-order semilinear Dirichlet problems
We investigate the existence and stability of solutions for higher-order two-point boundary value problems in case the differential operator is not necessarily positive definite, i.e. with superlinear nonlinearities. We write an abstract realization of the Dirichlet problem and provide abstract existence and stability results which are further applied to concrete problems.
On the existence of a maximal element of multivalued mappings in -spaces.
On the existence of a weak solution of a half-cell model for PEM fuel cells.
On the existence of blowing-up solutions for a mean field equation
On the existence of multiple solutions for a nonlocal BVP with vector-valued response
The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.
On the existence of one-signed periodic solutions of some differential equations of second order
We study the existence of one-signed periodic solutions of the equations where , is continuous and 1-periodic, is a continuous and 1-periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used.
On the existence of optimal controls for nonlinear infinite dimensional systems
We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.
On the existence of solutions for dynamic boundary value problems under barrier strips condition.
On the Fröhlich-Spencer-Estimate in the theory of anderson localization.
On the number of bound states of a bosonic N-particle Coulomb system.