On equilibrium problems.
On equivalence of some iterations convergence for quasi-contraction maps in convex metric spaces.
On Erb's uncertainty principle
We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.
On ergodic properties of convolution operators associated with compact quantum groups
Recent results of M. Junge and Q. Xu on the ergodic properties of the averages of kernels in noncommutative -spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups.
On ergodicity coefficients of infinite stochastic matrices.
On ergodicity for operators with bounded resolvent in Banach spaces
We prove results on ergodicity, i.e. on the property that the space is a direct sum of the kernel of an operator and the closure of its range, for closed linear operators A such that is uniformly bounded for all α > 0. We consider operators on Banach spaces which have the property that the space is complemented in its second dual space by a projection P. Results on ergodicity are obtained under a norm condition ||I - 2P|| ||I - Q|| < 2 where Q is a projection depending on the operator A....
On essential norm of the Neumann operator
One of the classical methods of solving the Dirichlet problem and the Neumann problem in is the method of integral equations. If we wish to use the Fredholm-Radon theory to solve the problem, it is useful to estimate the essential norm of the Neumann operator with respect to a norm on the space of continuous functions on the boundary of the domain investigated, where this norm is equivalent to the maximum norm. It is shown in the paper that under a deformation of the domain investigated by a diffeomorphism,...
On Essential Self-Adjointness for Singular Elliptic Differential Operators.
On essential self-adjointness of the relativistic hamiltonian of a spinless particle in a negative scalar potential
On essential selfadjointness of the Weyl quantized relativistic Hamiltonian.
On estimates for spectral projections of perturbed selfadjoint operators.
On evolution inclusions associated with time dependent convex subdifferentials
On exact null controllability of Black-Scholes equation
In this paper we discuss the exact null controllability of linear as well as nonlinear Black–Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the control is distributed over a subdomain. The proof of the linear problem relies on a Carleman estimate and observability inequality for its own dual problem and that of the nonlinear one relies on the infinite dimensional Kakutani fixed point theorem with ...
On existence and an asymptotic behavior of random solutions of a class of stochastic functional-integral equations
On existence and uniqueness of solutions for ordinary differential equations with nonlinear boundary conditions
We prove an existence and uniqueness theorem for a nonlinear functional boundary value problem, that is, an ordinary differential equation with a nonlinear boundary condition. The proof is based on a Global Inversion Theorem of Ambrosetti and Prodi, which is applied to the boundary operator restricted to the manifold of the global solutions to the equation. Our result is a generalization of an analogous existence and uniqueness theorem of G. Vidossich, as it is shown with some examples.
On existence of a solution for the system of generalized vector quasi-equilibrium problems with upper semicontinuous set-valued maps.
On existence of equilibria of set-valued maps
The present paper is devoted to sufficient conditions for existence of equilibria of Lipschitz multivalued maps in prescribed subsets of finite-dimensional spaces. The main improvement of the present study lies in the fact that we do not suppose any regular assumptions on the boundary of the subset. Our approach is based on behaviour of trajectories to the corresponding differential inclusion.
On existence of equilibrium pair for constrained generalized games.
On existence of extremal solutions of nonlinear functional integral equations in Banach algebras.
On existence of hyperinvariant subspaces for linear maps.