A perturbation theorem for semigroups of linear operators
A Perturbation Theorem for the Essential Spectral Radius of Strongly Continuous Semigroups.
A perturbation theory of resonances
A Perturbed Iterative Method for a General Class of Variational Inequalities
The generalized Wiener-Hopf equation and the approximation methods are used to propose a perturbed iterative method to compute the solutions of a general class of nonlinear variational inequalities.
A Pettis-type integral and applications to transition semigroups
Motivated by applications to transition semigroups, we introduce the notion of a norming dual pair and study a Pettis-type integral on such pairs. In particular, we establish a sufficient condition for integrability. We also introduce and study a class of semigroups on such dual pairs which are an abstract version of transition semigroups. Using our results, we give conditions ensuring that a semigroup consisting of kernel operators has a Laplace transform which also consists of kernel operators....
A pointwise contraction criteria for the existence of fixed points.
A Positive Compact Operator.
A posteriori estimations of approximate solutions for some types of boundary value problems
A potential operator and some ergodic properties of a positive contraction
A Potential-Theoretic Approach to Parallel Addition.
A Predictor-Corrector Technique for Constrained Least-Squares Regularization.
A principle of linearization in theory of stability of solutions of variational inequalities
It is shown that the uniform exponential stability and the uniform stability at permanently acting disturbances of a sufficiently smooth but not necessarily steady-state solution of a general variational inequality is a consequence of the uniform exponential stability of a zero solution of another (so called linearized) variational inequality.
A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a -Laplacian type operator
This paper is devoted to the problem of existence of a solution for a non-resonant, non-linear generalized multi-point boundary value problem on the interval . The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem.
A priori-Schranken für diskrete Lösungen monotoner Operatorgleichungen und Anwendungen.
A probabilistic approach to the boundedness of singular integral operators
A probabilistic variant of Chernoff's product formula.
A probabilistic version of the Frequent Hypercyclicity Criterion
For a bounded operator T on a separable infinite-dimensional Banach space X, we give a "random" criterion not involving ergodic theory which implies that T is frequently hypercyclic: there exists a vector x such that for every non-empty open subset U of X, the set of integers n such that Tⁿx belongs to U, has positive lower density. This gives a connection between two different methods for obtaining the frequent hypercyclicity of operators.
A problem in Rayleigh-Taylor instability
A problem of linear conjugation for analytic functions with boundary values from the Zygmund class.
A Problem of Mixed Interpolation.