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Conference "Integrable Systems and Their Applications", Sept. 12-16, 2022
Conference Integrable Systems Applications
2022/9/14
The purpose of the conference is to establish international contacts for the subsequent involvement of world experts in cooperation with Russian scientists in the field of geometry and topology, dynam...
Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators
Symmetric operator Defect subspace Self-adjoint extension
2011/2/22
Let H be a Hilbert space and let A be a simple symmetric operator in H with equal deficiency indices d := n±(A) < 1. We show that if, for all in an open interval I R, the dimension of defect subsp...
Convolutions of singular measures and applications to the Zakharov system
Convolution estimates transversal submanifolds L2 bounds
2010/12/8
Uniform L2-estimates for the convolution of singular measures with respect to transversal submanifolds are proved in arbitrary space dimen-sion. The results of Bennett-Bez are used to extend previous ...
Generalized Dunkl-Sobolev Spaces of Exponential Type and Applications
Dunkl operators Dunkl-Bessel-Laplace operator Generalized Dunkl-Sobolev spaces of exponential type Pseudo differential-difference operators Reproducing kernels
2010/1/22
We study the Sobolev spaces of exponential type associated with the Dunkl-Bessel Laplace operator. Some properties including completeness and the imbedding theorem are proved. We next introduce a clas...
SUPERPOSITION OPERATORS BETWEEN VARIOUS ALMOST PERIODIC FUNCTION SPACES AND APPLICATIONS
almost periodic function superposition operator evolution equation differential equation asymptotically almost periodic function almost automorphic function
2008/11/28
We study the superposition operators (also called Nemytskii operators) between spaces
of almost periodic functions with values in a complete metric space or in a Banach
space. We establish new resul...
SOLUTIONS OF A PAIR OF DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
Differential equation Entire function Entire solution Uniqueness
2008/11/25
In this paper, we consider the common solutions of a pair of differential equations and
give some of their applications in the uniqueness problem of entire functions.
STEPANOV-LIKE PSEUDO ALMOST PERIODIC FUNCTIONS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS
almost periodic pseudo almost periodic Stepanov-pseudo almost periodicity
2008/11/25
This paper introduces and examines a new class of functions called Stepanov-like
pseudo almost periodic functions (or Sp-pseudo almost periodic functions), which generalizes
in a natural fashion the...
Some Retarded Nonlinear Integral Inequalities in Two Variables and Applications
Integral inequality Nonlinear Two variables Retarded
2010/1/22
In this paper, some retarded nonlinear integral inequalities in two variables with more than one distinct nonlinear term are established. Our results are also applied to show the boundedness of the so...