On the Fröhlich-Spencer-Estimate in the theory of anderson localization.
On the Functional Dimension of Solution Spaces of Hypoelliptic Partial Differential Operators.
On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
On the functions of one selfadjoint integral operator.
On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory
A general theorem on the GBDT version of the Bäcklund-Darboux transformation for systems depending rationally on the spectral parameter is treated and its applications to nonlinear equations are given. Explicit solutions of direct and inverse problems for Dirac-type systems, including systems with singularities, and for the system auxiliary to the N-wave equation are reviewed. New results on explicit construction of the wave functions for radial...
On the Gelfand-Hille theorems
On the general minimax theorem
On the generalization of Wiarda's method of solution of non-linear functional equations
On the generalizations of Siegel's fixed point theorem.
In this paper, we establish a new version of Siegel's fixed point theorem in generating spaces of quasi-metric family. As consequences, we obtain general versions of the Downing-Kirk's fixed point and Caristi's fixed point theorem in the same spaces. Some applications of these results to fuzzy metric spaces and probabilistic metric spaces are presented.
On the generalized boundary value problem
In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.
On the generalized continuity of the semivariation in locally convex spaces
On the generalized Drazin inverse and generalized resolvent
We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range and kernel....
On the generalized Hardy spaces.
On the generalized Kato spectrum
2010 Mathematics Subject Classification: 47A10.We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.
On the generalized linear ordinary differential equation
On the generalized nonlinear quasivariational inclusions
On the generalized strongly nonlinear implicit quasivariational inequalities for set-valued mappings.
On the generation of non-continuous semigroups.
On the genericity of nonvanishing instability intervals in Hills equation
On the genericity of nonvanishing instability intervals in periodic Dirac systems