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Home / Journals / Pure and Applied Mathematics Journal / Spectral Theory of Multiparameter Operator Pencils and Its Applications
Spectral Theory of Multiparameter Operator Pencils and Its Applications
Submission Deadline: May 10, 2015
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 Submissions must be previously unpublished and may not be under consideration elsewhere.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
Authors: Rakhshanda Dzhabarzadeh
Pages: 38-44 Published Online: Aug. 24, 2015
Views 4039 Downloads 142
Authors: Rakhshanda Dzhabarzadeh
Pages: 33-37 Published Online: Aug. 21, 2015
Views 4322 Downloads 132
Authors: Rakhshanda Dzhabarzadeh
Pages: 27-32 Published Online: Aug. 21, 2015
Views 4407 Downloads 140
Authors: Rakhshanda Dzhabarzadeh
Pages: 22-26 Published Online: Aug. 21, 2015
Views 4491 Downloads 213
Authors: Makhmudova Malaka Gasan, Sultanova Elnara Bayram
Pages: 16-21 Published Online: Aug. 21, 2015
Views 4412 Downloads 138
Authors: Rakhshanda Dzhabarzadeh, Elnara Sultanova
Pages: 11-15 Published Online: May 12, 2015
Views 4665 Downloads 181
Authors: Rakhshanda Dzhabarzadeh, Kamilla Alimardanova
Pages: 5-10 Published Online: May 12, 2015
Views 4654 Downloads 169
Authors: Rakhshanda Dzhabarzadeh, Afet Jabrailova
Pages: 1-4 Published Online: May 12, 2015
Views 4799 Downloads 230
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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