Volume 4, Issue 4-1, August 2015, Page: 11-15
Criterion of Existence of Eigen Values of Linear Multiparameter Systems
Rakhshanda Dzhabarzadeh, Department of functional analysis of Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku
Elnara Sultanova, Department of Applied Mathematics of Baku State Universiteties, Azerbaijan, Baku
Received: Mar. 23, 2015;       Accepted: Apr. 10, 2015;       Published: May 12, 2015
DOI: 10.11648/j.pamj.s.2015040401.13      View  3738      Downloads  81
Abstract
It is considered the linear multiparameter system of operators when the number of equations may be more than the number of parameters. For such multiparameter systems the authors have proved the criterion of existence of eigen values. Under certain conditions, the authors a have proved that all components of the eigen values of the considered multiparameter systems are real numbers.
Keywords
Operator, Parameter, Eigenvalue, System, Multiparameter
To cite this article
Rakhshanda Dzhabarzadeh, Elnara Sultanova, Criterion of Existence of Eigen Values of Linear Multiparameter Systems, Pure and Applied Mathematics Journal. Special Issue: Spectral Theory of Multiparameter Operator Pencils and Its Applications. Vol. 4, No. 4-1, 2015, pp. 11-15. doi: 10.11648/j.pamj.s.2015040401.13
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