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Spectral Theory of Multiparameter Operator Pencils and Its Applications
Submission Deadline: May 10, 2015

This special issue currently is open for paper submission and guest editor application.

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Lead Guest Editor
Rakhshanda Dzhabarzadeh
Department of Functional Analysis, Institute of Mathematics and Mechanics, Nathional Academy of Sciencis of Azerbaijan, Baku, Azerbaijan
Guest Editor
  • Ilgar Jafarov
    Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
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Manuscripts can be submitted until the expiry of the deadline. Submissions must be previously unpublished and may not be under consideration elsewhere.
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Published Papers
1
Authors: Rakhshanda Dzhabarzadeh, Afet Jabrailova
Pages: 1-4 Published Online: May 12, 2015
DOI:
Views 3797 Downloads 121
2
Authors: Rakhshanda Dzhabarzadeh, Kamilla Alimardanova
Pages: 5-10 Published Online: May 12, 2015
DOI:
Views 3724 Downloads 72
3
Authors: Rakhshanda Dzhabarzadeh, Elnara Sultanova
Pages: 11-15 Published Online: May 12, 2015
DOI:
Views 3731 Downloads 81
4
Authors: Makhmudova Malaka Gasan, Sultanova Elnara Bayram
Pages: 16-21 Published Online: Aug. 21, 2015
DOI:
Views 3476 Downloads 42
5
Authors: Rakhshanda Dzhabarzadeh
Pages: 22-26 Published Online: Aug. 21, 2015
DOI:
Views 3469 Downloads 81
6
Authors: Rakhshanda Dzhabarzadeh
Pages: 27-32 Published Online: Aug. 21, 2015
DOI:
Views 3444 Downloads 37
7
Authors: Rakhshanda Dzhabarzadeh
Pages: 33-37 Published Online: Aug. 21, 2015
DOI:
Views 3357 Downloads 38
8
Authors: Rakhshanda Dzhabarzadeh
Pages: 38-44 Published Online: Aug. 24, 2015
DOI:
Views 3138 Downloads 44
Introduction
Spectral theory of operators is one of the important directions of functional analysis. The spectral theory of operator pencils is raised as the result of study of the problems of ordinary differential equations with the boundary conditions. But the multiparameter spectral theory is raised in the result of the study of the problems of the partial differential equations and the equations of the mathematical physics.The physical sciences open more and more challenges for mathematicians. In particular, the research of the problems associated with the physical processes and, consequently, the study of partial differential equations and mathematical physics equations, required a new approach. The method of separation of variables in many cases turned out to be the only acceptable, since it reduces finding a solution to a complex equation with many variables to find a solution to a system of ordinary differential equations, which are much easier to study. For example, a multivariable problems cause problems in quantum mechanics, diffraction theory, the theory of elastic shells, nuclear reactor calculations , stochastic diffusion processes, Brownian motion, boundary value problems for equations of elliptic-parabolic type, the Cauchy problem for ultraparabolic equations and etc.

Despite the urgency and prescription studies, spectral theory of multiparameter systems studied was not enough. The available results in this area until recently only dealt with seltadjoint multiparameter systems. Original research papers in this area will help further explored this actual direction of functional analysis.

It is expected to pay more attention to the study of the particular case of nonlinear multiparameter systems of operators in the Hilbert space, namely, to the operator pencils and nonlinear algebraic systems with many variables.

Aims and Scope:

1. Spectral problem of multiparameter system
2. Operator pencils in Hilbert space.
3. Problem of completeness of eigen and associated vectors of multiparameter systems of operator pencils in Hilbert spaces.
4. Nonlinear algebraic equations with many variables.
5. Bases of eigen and associated vectors of multiparameter system.
6. Application of results of multiparameter spectral theory.
7. Fundamental notions of spectral theory of operators.
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