ORTHOGONAL SOLUTIONS OF A SPECTRAL PROBLEM IN THE CLASS OF POLOIDAL FIELD
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2011, Vol 1, Issue
Abstract
We prove the orthogonality of the eigenfields of the spectral problem rotΔS+λrotS = 0 in the space of the poloidal field in a spherical shell.
Authors and Affiliations
Gleb Vodinchar, Lubov Feshenko
ABOUT THE A PRIORI ESTIMATE FOR SOLUTION OF TRICOMI PROBLEM FOR THE LAVRENTIEV-BITSADZE EQUATION
The theorem about the a priori estimate for the solution of Tricomi problem for Lavrentiev-Bitsadze equation is proved. From this theorem, in particular, follows the uniqueness of a regular solution of the investigated p...
THE FIRST BOUNDARY VALUE PROBLEM FOR THE NON-HOMOGENEOUS HALLAIRE EQUATION
First boundary value problem is investigated for the Hallaire inhomogeneous equation. With the help of the Fourier method we have found an explicit representation of a regular solution.
APPLICATION OF A LOGICAL NEURAL NETWORK TO THE CLASSIFICATION PROBLEM
The solution of the classification problem is becoming more urgent due to the development of technology and the growth of the processed data volumes. The use of neural networks is mandatory when solving classification pr...
THE DEVELOPMENT OF RADIATION MONITORING TECHNOLOGY FOR URBAN ENVIRONMENT
The results of monitoring of meteorological and radiation parameters in Tomsk Observatory of Radioactivity and Ionizing Radiation are presented and analyzed in this work. The advantages of new radiation monitoring techno...
PASSAGE THROUGH X-RAY PROTECTION HAVING THE STRUCTURE OF HOMOGENEOUS FRACTALS
In this paper we generalize the law of Bouguer-Lambert in the case of a homogeneous fractal. With detailed analysis in terms of d-output operator generalized law of Bouguer-Lambert-Beer law, which in particular includes...